Ｐｒｏｊｅｃｔ　Ｍコミュの（数学）A_{19,d,18}

A_{19,d,18}={19, 19+d, 19+2d, 19+3d, 19+4d, 19+5d, 19+6d, 19+7d, 19+8d, 19+9d, 19+10d, 19+11d, 19+12d, 19+13d, 19+14d, 19+15d, 19+16d, 19+17d}

の元が全て素数であるdを具体的に探すことが目的である。

（事実１）dは19未満の素数の全ての倍数でなければならない。
（事実２）dは19の倍数であってはならない。

kに対する素数および個数チェックのプログラムです。

For[c = 0; i = 1, i < 18, i++, n = 19 + i*510510*k;
c = c + If[PrimeQ[n], 1, 0]; Print[FactorInteger[n]]]; Print[c]

dはd_0=17#=2*3*5*7*11*13*17=510510で割り切れるので、あらかじめd=d_0*kと表してみたい。

A_{19,d_0*k,18}において、19は素数であるので19+i*d_0*k,0<i<18の内素数であるものが多いものを探してみた。

現時点で17個のうち、全部素数であるのものは、なかなか見つからないのであるが、それだとでは面白くないので、17個のうち素数である物の数が多いものを探してみることにする。付帯条件として19+i*d_0*kは、d_0=510510以下の素因数を持たないようにした。

13個
k= (39506*2792411+2460426)*1348781387+1333 = 148796819964018068037
k= (24910*2792411+1271986)*1348781387+2932 = 93821543494043887384
k= (38107*2792411+2751272)*1348781387+2932 = 143528085829355327295
k= (92571*2792411+1605165)*1348781387+4469 = 348657134310372778871
k= (47903*2792411+2281904)*1348781387+4634 = 180422636766816417953
k= (47435*2792411+569630)*1348781387+4726 = 178657674556101675331
k= (69703*2792411+2388116)*1348781387+5285 = 262529253223643537248
k= (47468*2792411+2722320)*1348781387+5423 = 178784867679700240939
k= (81454*2792411+1380879)*1348781387+5633 = 306786296817542463684
k= (48555*2792411+199672)*1348781387+6001 = 182875489783089848700
k= (25057*2792411+439827)*1348781387+6001 = 94374074834776812299
k= (15843*2792411+2757810)*1348781387+6601 = 59674034128142114122
k= (52075*2792411+1530180)*1348781387+8096 = 196134843322937786031
k= (767*2792411+609355)*1348781387+8843 = 2889613856610745947
k= (20928*2792411+2725584)*1348781387+9011 = 78825890489024018915
k= (83809*2792411+1035004)*1348781387+10476 = 315655589224575544137
k= (15256*2792411+283180)*1348781387+10878 = 57459847780027475130

14個
k= (47211*2792411+2591697)*1348781387+5887 = 177816739038544034653
k= (73780*2792411+168536)*1348781387+6780 = 277881676524656171672
k= (85269*2792411+122024)*1348781387+6876 = 321153231707359760497
k= (97215*2792411+1058110)*1348781387+7509 = 366147335055572557334
k= (95537*2792411+1764639)*1348781387+10028 = 359828349383521627930

13個
k= (32717*2792411+1012706)*1348781387+12208 = 123225103702779098299
k= (19906*2792411+1026866)*1348781387+12208 = 74974387564553413992
k= (14501*2792411+1503041)*1348781387+12903 = 54617897359690191327
k= (54385*2792411+2312914)*1348781387+12903 = 204836172137608834566
k= (82106*2792411+323541)*1348781387+12926 = 309240532191766748335
k= (54284*2792411+1878194)*1348781387+13637 = 204455184245217218903
k= (11430*2792411+2629413)*1348781387+14692 = 43052949653619022033
k= (75624*2792411+2076684)*1348781387+15776 = 284829403253332303052
k= (55052*2792411+2616349)*1348781387+16305 = 207348738176852258332
k= (6018*2792411+779202)*1348781387+16383 = 22666957198748444583
k= (7270*2792411+2073936)*1348781387+16383 = 27384176192899640005
k= (47212*2792411+364152)*1348781387+16559 = 177817500919290994467
k= (14221*2792411+2096284)*1348781387+16946 = 53564118959943427451
k= (4555*2792411+633879)*1348781387+16972 = 17156588240631056780
k= (40500*2792411+2499777)*1348781387+16972 = 152540626909678576171
k= (9090*2792411+214784)*1348781387+17157 = 34236429209896820695
k= (88299*2792411+1659354)*1348781387+17602 = 332567351733861240643
k= (20792*2792411+1260825)*1348781387+18614 = 78311690979843436033
k= (41213*2792411+797668)*1348781387+19134 = 155223740099660075791
k= (521*2792411+2740541)*1348781387+19158 = 1965965773132893222
k= (39820*2792411+1242456)*1348781387+19343 = 149977811710991535555
k= (51286*2792411+624583)*1348781387+20044 = 193161970157035023967
k= (99876*2792411+706725)*1348781387+20109 = 376169123737206344616
k= (9061*2792411+727879)*1348781387+20560 = 34127897055414619210


14個
k= (60800*2792411+1388348)*1348781387+11337 = 228996073062507755613
k= (70665*2792411+268753)*1348781387+14650 = 266149625272628052966
k= (1203*2792411+1236875)*1348781387+18188 = 4532589707907894384

13個
k= (30628*2792411+2106526)*1348781387+21528 = 115358669737160510886
k= (3386*2792411+2682762)*1348781387+22400 = 12756486269332010296
k= (18311*2792411+1611372)*1348781387+24242 = 68967844524628594933
k= (3207*2792411+1411348)*1348781387+25403 = 12080594405077565878
k= (201*2792411+1998308)*1348781387+25403 = 759732028948384056
k= (2217*2792411+1465102)*1348781387+25445 = 8351978445634726288
k= (43245*2792411+285719)*1348781387+25955 = 162876276819098833173
k= (46608*2792411+2491268)*1348781387+25955 = 175545493336840743327
k= (55646*2792411+810709)*1348781387+26388 = 209583515840331155593
k= (10198*2792411+1528029)*1348781387+26388 = 38411318485982095897
k= (16922*2792411+724571)*1348781387+27457 = 63735185521428339988
k= (37343*2792411+95763)*1348781387+27611 = 140647011214259441443
k= (2609*2792411+1944796)*1348781387+27691 = 9829035424781774456
k= (39940*2792411+2209576)*1348781387+27990 = 150431078382245026482
k= (39861*2792411+112346)*1348781387+28680 = 150130707870906098659
k= (93498*2792411+2159895)*1348781387+30036 = 352149290806864925787

14個
k= (3754*2792411+285806)*1348781387+21204 = 14139270828942444104
k= (64009*2792411+2139360)*1348781387+21942 = 241083309522642648775
k= (48691*2792411+1055895)*1348781387+22110 = 183388868510240337862
k= (48213*2792411+2588850)*1348781387+24976 = 181590619884180810067
k= (60926*2792411+1014130)*1348781387+25955 = 229470128673923101047
k= (42951*2792411+1625182)*1348781387+26123 = 161770775979255515764
k= (18891*2792411+495472)*1348781387+29416 = 71150823568838199867

15個　（やっと15個が出てきた）
k= (10370*2792411+979287)*1348781387+29348 = 39058390893830731507

13個
k= (90850*2792411+2734891)*1348781387+30566 = 342176766303347382833
k= (65883*2792411+558009)*1348781387+31084 = 248139320239467246898
k= (96241*2792411+1648044)*1348781387+32637 = 362479703917440289402
k= (12572*2792411+267064)*1348781387+33580 = 47350937324307175952
k= (14133*2792411+1750405)*1348781387+33913 = 53232213470400533229
k= (92628*2792411+2260530)*1348781387+34223 = 348872700317440781129
k= (45288*2792411+1804155)*1348781387+34277 = 170572981955832230678
k= (1216*2792411+2317113)*1348781387+34741 = 4583009288577343784
k= (60937*2792411+2024937)*1348781387+35028 = 229512921903388754056
k= (10172*2792411+1427917)*1348781387+37029 = 38313258305256885712
k= (31361*2792411+153166)*1348781387+38881 = 118116771084102841700

14個
k= (58545*2792411+731742)*1348781387+32106 = 220502063725926485325
k= (30853*2792411+414307)*1348781387+33966 = 116203816499542758396
k= (83796*2792411+484416)*1348781387+35461 = 315605884025967760825
k= (79788*2792411+1360966)*1348781387+38214 = 300511527557823077972

15個
k= (8630*2792411+2337159)*1348781387+37370 = 32506769918232208813

13個
k= (62115*2792411+1187898)*1348781387+40018 = 233948555555153845099
k= (3362*2792411+360714)*1348781387+40491 = 12662961886650210443
k= (69896*2792411+446299)*1348781387+40663 = 263253540069476245448
k= (10815*2792411+451579)*1348781387+40663 = 40733705762938627191
k= (28568*2792411+88116)*1348781387+40855 = 107597262261113838123
k= (54506*2792411+622888)*1348781387+42918 = 205289621251776659416
k= (4129*2792411+835127)*1348781387+44293 = 15552393736003026795
k= (35426*2792411+429587)*1348781387+44319 = 133427364721026364770
k= (80872*2792411+764640)*1348781387+44919 = 304593448792526698303
k= (6930*2792411+1702515)*1348781387+46057 = 26103115553405749372
k= (31541*2792411+2640529)*1348781387+46731 = 118798069349717692291
k= (34190*2792411+194490)*1348781387+46835 = 128771836577244213295
k= (11381*2792411+204299)*1348781387+46892 = 42865127457893452322
k= (92142*2792411+996503)*1348781387+46892 = 347040548358266656647
k= (26702*2792411+899917)*1348781387+48150 = 100570344405426123043
k= (12321*2792411+531938)*1348781387+48203 = 46405940234033122506
k= (88040*2792411+1830268)*1348781387+48368 = 331592097096234848364
k= (29842*2792411+679126)*1348781387+48551 = 112396391829028645307
k= (80891*2792411+1547523)*1348781387+48622 = 304666065418196727810
k= (87373*2792411+2346280)*1348781387+48622 = 329080636311852661243
k= (12761*2792411+2111575)*1348781387+48633 = 48065265690944724535
k= (59289*2792411+904658)*1348781387+48886 = 223304462826159435005
k= (5104*2792411+1563087)*1348781387+49816 = 19225568777014218413


14個
k= (3278*2792411+2388606)*1348781387+41031 = 12349323503175716399
k= (28395*2792411+2349052)*1348781387+44159 = 106948732876681687798
k= (12382*2792411+1937857)*1348781387+46892 = 46637583982292848325
k= (96016*2792411+2340265)*1348781387+47920 = 361633208376368632387
k= (23728*2792411+1128274)*1348781387+48203 = 89369521615658148737
k= (77735*2792411+1246462)*1348781387+48551 = 292779052498623372240
k= (4515*2792411+1441331)*1348781387+48870 = 17007023237593422322


15個
k= (71518*2792411+2042224)*1348781387+40951 = 269364715537654174165

13個
k= (59866*2792411+872250)*1348781387+50715 = 225477604208266637827
k= (9247*2792411+1354186)*1348781387+50715 = 34829283275226451776
k= (45594*2792411+1444596)*1348781387+50715 = 171725000695731660225
k= (44321*2792411+1761766)*1348781387+50963 = 166930862416078560702
k= (26757*2792411+833480)*1348781387+52808 = 100777404155428092717
k= (48195*2792411+424460)*1348781387+53762 = 181519906259564856897
k= (99165*2792411+2766383)*1348781387+53992 = 373494025506624329618
k= (53529*2792411+363507)*1348781387+54103 = 201609545517435715465
k= (74630*2792411+249080)*1348781387+54436 = 281083184345310202306
k= (68367*2792411+656538)*1348781387+55241 = 257495071455977228366
k= (68550*2792411+1904731)*1348781387+55614 = 258185997408105704861
k= (61860*2792411+160466)*1348781387+55774 = 232986750018674068136
k= (27517*2792411+1345800)*1348781387+55890 = 103640522669165366959
k= (58244*2792411+412741)*1348781387+55908 = 219367961516837403583
k= (49146*2792411+1759057)*1348781387+57155 = 185103507073710614536
k= (94750*2792411+442106)*1348781387+57592 = 356862446566065839364
k= (1257*2792411+2181283)*1348781387+58047 = 4737246514849387217
k= (73319*2792411+2171311)*1348781387+58464 = 276148089566756052004
k= (40556*2792411+726492)*1348781387+58703 = 152749150846849398799
k= (47141*2792411+1600536)*1348781387+58719 = 177551757540319983188
k= (96413*2792411+2318910)*1348781387+58822 = 363128421309858784533
k= (63861*2792411+2457550)*1348781387+59094 = 240526318598107415021
k= (44412*2792411+501503)*1348781387+59163 = 167271900627131963308

14個
k= (58937*2792411+106307)*1348781387+51357 = 221977630127648116575
k= (45786*2792411+1688145)*1348781387+54485 = 172448468770567265402
k= (21754*2792411+2159348)*1348781387+58116 = 81936133497292869770

13個
k= (65953*2792411+637984)*1348781387+60117 = 248403072746974485246
k= (17809*2792411+2703891)*1348781387+60635 = 67078609399130438565
k= (51607*2792411+1575951)*1348781387+61302 = 194372252330596604938
k= (42870*2792411+2214932)*1348781387+62348 = 161466496912564556622
k= (74807*2792411+1813900)*1348781387+62935 = 281751939246152984234
k= (60937*2792411+85057)*1348781387+64122 = 229510305429351769590
k= (66471*2792411+1603508)*1348781387+65249 = 250355345354271193692
k= (17761*2792411+6344)*1348781387+65273 = 66894186102826890778
k= (1208*2792411+2357737)*1348781387+66493 = 4552933265619208568
k= (50954*2792411+2375912)*1348781387+67247 = 191913903459083637569
k= (10807*2792411+2323103)*1348781387+68032 = 40706099223821945892
k= (20618*2792411+755905)*1348781387+68655 = 77655664708337756116
k= (54135*2792411+2771270)*1348781387+69045 = 203895202364236796230
k= (89477*2792411+155666)*1348781387+69099 = 337002086221863516030
k= (43625*2792411+958334)*1348781387+69987 = 164308397782720035870
k= (83610*2792411+1111708)*1348781387+69987 = 314906188637153954753



14個
k= (4747*2792411+1827307)*1348781387+60842 = 17881337494581804230
k= (66610*2792411+1193111)*1348781387+62935 = 250878314743886224662
k= (4067*2792411+819712)*1348781387+67247 = 15318859121675417610

13個
k= (31779*2792411+329188)*1348781387+70375 = 119691343627631571534
k= (21825*2792411+2769525)*1348781387+70375 = 82204367483370695575
k= (26162*2792411+1117957)*1348781387+70585 = 98536808423626576178
k= (59208*2792411+675113)*1348781387+70609 = 222999078709621999196
k= (96341*2792411+1012467)*1348781387+70700 = 362855481861178127866
k= (68657*2792411+1211777)*1348781387+70725 = 258588062426685456873
k= (21288*2792411+1980992)*1348781387+71548 = 80180772910589032868
k= (6709*2792411+924919)*1348781387+71599 = 25269702958448822665
k= (12933*2792411+1879939)*1348781387+72126 = 48712765805463886700
k= (94521*2792411+2220487)*1348781387+72126 = 356002350609458869292
k= (66343*2792411+335878)*1348781387+72438 = 249871542544869878775
k= (6561*2792411+2367621)*1348781387+72438 = 24714228754768610742
k= (56733*2792411+582050)*1348781387+72503 = 213677232033385991634
k= (33681*2792411+1965366)*1348781387+72940 = 126857151943169809399
k= (77443*2792411+368429)*1348781387+73485 = 291678093445412840759
k= (80114*2792411+834336)*1348781387+73485 = 301738647995100500015
k= (36179*2792411+2099651)*1348781387+74508 = 136265680314450198648
k= (62349*2792411+921296)*1348781387+74656 = 234829522331045592101
k= (39013*2792411+899178)*1348781387+74849 = 146937902654819800476
k= (91909*2792411+2724810)*1348781387+74849 = 346165319454853911132
k= (25516*2792411+239412)*1348781387+74932 = 96102560078334417788
k= (39646*2792411+1032300)*1348781387+75555 = 149322183011682619477
k= (62995*2792411+1457497)*1348781387+77314 = 237263308929122606368
k= (4161*2792411+1093357)*1348781387+78149 = 15673265295233555485
k= (31447*2792411+2075702)*1348781387+78269 = 118443270435297767422
k= (50698*2792411+1905028)*1348781387+78428 = 190949082232205574050
k= (28390*2792411+1537929)*1348781387+78521 = 106928807089168484274
k= (13038*2792411+1799080)*1348781387+79633 = 49108123702423398759
k= (33139*2792411+569734)*1348781387+80311 = 124813906766648616292
k= (44849*2792411+716003)*1348781387+80442 = 168918085756722318996
k= (27257*2792411+2716514)*1348781387+80475 = 102663119947465437042



14個
k= (72993*2792411+2203136)*1348781387+72434 = 274920301745704484667
k= (30490*2792411+639838)*1348781387+74129 = 114836934922217367365
k= (44170*2792411+2291047)*1348781387+74932 = 166362857151210114811
k= (36426*2792411+1970094)*1348781387+75461 = 137195794509848596121
k= (63203*2792411+1469257)*1348781387+75555 = 238046726002975759585
k= (31324*2792411+268190)*1348781387+77701 = 117977571203011938699
k= (87246*2792411+693118)*1348781387+77877 = 328600079856047329565
k= (24784*2792411+266868)*1348781387+79840 = 93345627459905414444


やはり、１５個以上はなかなか出現しないな＾＾；

13個
k= (40438*2792411+523485)*1348781387+82271 = 152304447500951212932
k= (51711*2792411+1928585)*1348781387+82271 = 194764428562864271193
k= (6685*2792411+864887)*1348781387+82715 = 25179229540844912029
k= (44947*2792411+1002447)*1348781387+82715 = 169287574601260036683
k= (92243*2792411+2266823)*1348781387+82715 = 347422663292385286067
k= (15446*2792411+1239233)*1348781387+83635 = 58176744163033204228
k= (72497*2792411+489101)*1348781387+83846 = 273049879304299417262
k= (99732*2792411+2712466)*1348781387+83846 = 375629474357976166912
k= (9042*2792411+2501347)*1348781387+84589 = 34058728388392096272
k= (87681*2792411+804511)*1348781387+86008 = 330238593212871894582
k= (13161*2792411+2719980)*1348781387+86211 = 49572627088946142648
k= (78048*2792411+1243364)*1348781387+86387 = 293957916490356392991
k= (58128*2792411+1999097)*1348781387+86387 = 218933204334411519222
k= (79766*2792411+2276168)*1348781387+86675 = 300429902221649682353
k= (20779*2792411+1637599)*1348781387+87717 = 78263236589840307933
k= (23086*2792411+1348366)*1348781387+87993 = 86951820499429311537
k= (93705*2792411+45258)*1348781387+88752 = 352926073484041512783
k= (23953*2792411+2430944)*1348781387+89077 = 90218707828579755726
k= (23374*2792411+954287)*1348781387+89316 = 88035998343725473703
k= (18329*2792411+275617)*1348781387+89401 = 69033837218816840933
k= (39049*2792411+1718298)*1348781387+89412 = 147074596139969080531
k= (90977*2792411+1270145)*1348781387+90342 = 342653117382876025146
k= (34014*2792411+2183573)*1348781387+90799 = 128111641466600741348
k= (50711*2792411+2632042)*1348781387+90799 = 190999025390918377580

14個
k= (4185*2792411+2649268)*1348781387+80661 = 15765756326589883922
k= (71361*2792411+236466)*1348781387+81703 = 268770962703754701622
k= (68432*2792411+2739816)*1348781387+81834 = 257742694221375115250
k= (2636*2792411+162070)*1348781387+84589 = 9928322420639569931
k= (54717*2792411+457270)*1348781387+85705 = 206084098137429956064
k= (52948*2792411+1892644)*1348781387+87699 = 199423357487618514963
k= (25662*2792411+820667)*1348781387+89845 = 96653231453581025708
k= (35567*2792411+1727036)*1348781387+89928 = 133960170325501414179
k= (334*2792411+943837)*1348781387+90342 = 1259234591650507299
k= (10769*2792411+1784738)*1348781387+91331 = 40562251711827702770

13個
k= (40649*2792411+81626)*1348781387+91929 = 153098551797885350184
k= (8053*2792411+1848228)*1348781387+92225 = 30332925363785545482
k= (12029*2792411+2011939)*1348781387+92984= 45308161653191724030
k= (86203*2792411+1107023)*1348781387+93617 = 324672333006542150089
k= (49966*2792411+2171362)*1348781387+93927 = 188192471807976745083
k= (40578*2792411+1409550)*1348781387+94192 = 152832931886362464988
k= (78913*2792411+236609)*1348781387+95054 = 297214453062081891778
k= (69919*2792411+939177)*1348781387+95549 = 263340830949726805431
k= (8184*2792411+1808906)*1348781387+96066 = 30826264436600531176
k= (15481*2792411+1465487)*1348781387+96756 = 58308871649575043642
k= (3918*2792411+1556683)*1348781387+97265 = 14758666689176551912
k= (26553*2792411+65955)*1348781387+99654 = 100008033127736654760

14個
k= (71464*2792411+1607043)*1348781387+92712 = 269160745566612130801
k= (43007*2792411+1085226)*1348781387+98757 = 161980963407625616618
k= (55160*2792411+32040)*1348781387+98884 = 207752018522993522484


プログラムを変更して、データの確認とチューンアップに時間がかかる。
その結果、変更後のプログラムによる結果を得る時間が、変更後のそれ比べて（実測で）「4分の1強」に短縮される。

13個
k= (41910*2792411+250441)*1348781387+100758 = 157848149341280971295
k= (17609*2792411+2241152)*1348781387+102051 = 66324714869049429588
k= (34060*2792411+1484522)*1348781387+102380 = 128283950790779475814
k= (68807*2792411+1993098)*1348781387+102656 = 259154069055155669581
k= (14653*2792411+1151123)*1348781387+104236 = 55189908200453549058
k= (18708*2792411+574763)*1348781387+106018 = 70461688102420540655
k= (51793*2792411+2168021)*1348781387+106190 = 195073592372180105518
k= (8774*2792411+1017972)*1348781387+106382 = 33047345308718889664
k= (75462*2792411+2743393)*1348781387+106669 = 284220153476994182094
k= (72845*2792411+907406)*1348781387+107247 = 274361133995913141534
k= (12077*2792411+1929783)*1348781387+109514 = 45488835737827504924

14個
k= (25604*2792411+1503617)*1348781387+103361 = 96435704188893355568
k= (5542*2792411+614919)*1348781387+105616 = 20873952073628602163

15個
k= (88649*2792411+1553998)*1348781387+107042 = 333885432825228441261

13個
k= (51767*2792411+716192)*1348781387+110250 = 194973709020724797273
k= (78525*2792411+491868)*1348781387+110537 = 295753452781788197378
k= (33624*2792411+2213844)*1348781387+111987 = 126642805022717046183
k= (54475*2792411+2398057)*1348781387+112054 = 205175258655251432188
k= (55074*2792411+262566)*1348781387+113389 = 207428423181749307649
k= (871*2792411+2265306)*1348781387+113558 = 3283547978589456627
k= (80951*2792411+1133108)*1348781387+113930 = 304891487581857542933
k= (2144*2792411+386780)*1348781387+114977 = 8075580330331277045
k= (92794*2792411+1633140)*1348781387+116237 = 349497068534441046675
k= (36777*2792411+1894203)*1348781387+117288 = 138517681695040971138
k= (78634*2792411+2077547)*1348781387+118921 = 296166123882109454748
k= (86057*2792411+1438963)*1348781387+119967 = 324122893331714284897

14個
k= (50393*2792411+15711)*1348781387+116226 = 189797796602197381784
k= (4257*2792411+1023736)*1348781387+119070 = 16034741181963441551

15個
k= (10736*2792411+553602)*1348781387+112902 = 40436301563111474828

13個
k= (11942*2792411+1021389)*1348781387+121665 = 44979152995384956902
k= (24680*2792411+1757337)*1348781387+123648 = 92955937170658536827
k= (1273*2792411+642355)*1348781387+124728 = 4795432469113585674
k= (4371*2792411+197509)*1348781387+125138 = 16462990908272973268
k= (50206*2792411+1441706)*1348781387+125258 = 189095412137142037222
k= (13627*2792411+1090644)*1348781387+126323 = 51325549494327004290
k= (45946*2792411+1840380)*1348781387+126787 = 173051290419366436769
k= (53570*2792411+2296791)*1348781387+126829 = 201766573526158589436
k= (11968*2792411+1505647)*1348781387+127542 = 45077731305084874107
k= (19160*2792411+2264583)*1348781387+129329 = 72166358395891578070

14個
k= (1751*2792411+1406916)*1348781387+124828 = 6596779941990251127
k= (89662*2792411+769221)*1348781387+128765 = 337699688890033477026

13個
k= (28561*2792411+2109719)*1348781387+130639 = 107573624497740652869
k= (24027*2792411+2522264)*1348781387+132326 = 90497541045938460033
k= (34958*2792411+990919)*1348781387+133238 = 131665469107765882497
k= (9098*2792411+1779275)*1348781387+133671 = 34268670182091098682
k= (11827*2792411+1647492)*1348781387+134755 = 44546866993567498298
k= (95837*2792411+190996)*1348781387+134757 = 360956132477629786918
k= (19205*2792411+988170)*1348781387+134833 = 72334122632969491308
k= (92064*2792411+500051)*1348781387+136328 = 346746103298480590713
k= (3365*2792411+2279639)*1348781387+136408 = 12676849152918317506
k= (1899*2792411+1639269)*1348781387+137351 = 7154513428676677697
k= (36757*2792411+811804)*1348781387+137443 = 138440894735783402740
k= (49337*2792411+1822930)*1348781387+137949 = 185822966452920152068
k= (95701*2792411+1943034)*1348781387+137949 = 360446271724368555064
k= (19245*2792411+941193)*1348781387+138616 = 72484713350532440272
k= (31635*2792411+1127837)*1348781387+138616 = 119150066145179401730

14個
k= (48625*2792411+1267046)*1348781387+132687 = 183140574075989927114
k= (90297*2792411+2598098)*1348781387+134833 = 340093789153640521688
k= (25390*2792411+307025)*1348781387+136328 = 95628090923801987233
k= (80252*2792411+2470886)*1348781387+138632 = 302260611916747719878

13個
k= (96988*2792411+563967)*1348781387+141081 = 365291706664856303626
k= (56860*2792411+2210796)*1348781387+142342 = 214157755557345077414
k= (82485*2792411+984697)*1348781387+142411 = 310668871347720468795
k= (438*2792411+943130)*1348781387+142529 = 1650934244154140805
k= (52055*2792411+738816)*1348781387+144251 = 196058448906271299178
k= (14148*2792411+599794)*1348781387+144416 = 53287156827424977130
k= (58989*2792411+34675)*1348781387+144737 = 222173383814785907335
k= (48395*2792411+1078746)*1348781387+147867 = 182274059144674337084
k= (1607*2792411+442151)*1348781387+151519 = 6053123999557264555
k= (80784*2792411+965790)*1348781387+151959 = 304262281125517243377
k= (22325*2792411+1128955)*1348781387+152697 = 84085330703917735807
k= (54884*2792411+42901)*1348781387+153109 = 206712520025171701184
k= (58668*2792411+463712)*1348781387+154245 = 220964963505794898865
k= (21234*2792411+564207)*1348781387+154394 = 79975478970342415841
k= (98332*2792411+1675161)*1348781387+154870 = 370355182485983916101
k= (20715*2792411+789601)*1348781387+155363 = 78021046299095902705
k= (2756*2792411+1098908)*1348781387+155503 = 10381548248095161991
k= (48377*2792411+114109)*1348781387+155733 = 182204963724573760405
k= (69502*2792411+1932122)*1348781387+155733 = 261771601439111438561
k= (3953*2792411+1877093)*1348781387+158193 = 14890921171578713505
k= (53343*2792411+1750336)*1348781387+159275 = 200910874577990317858
k= (1183*2792411+892393)*1348781387+159362 = 4456798037365197884
k= (45451*2792411+607600)*1348781387+159447 = 171185283437729445354
k= (92272*2792411+900789)*1348781387+160547 = 347530045018620122394
k= (42923*2792411+2373732)*1348781387+161941 = 161666327754076576836
k= (49078*2792411+2700003)*1348781387+162840 = 184848664269409216447
k= (3344*2792411+2443673)*1348781387+164139 = 12597977007309645198
k= (71387*2792411+365930)*1348781387+164480 = 268869062473911276449
k= (6552*2792411+2247881)*1348781387+165368 = 24680170083850537779
k= (6563*2792411+2274726)*1348781387+166081 = 24721636163685067134
k= (48666*2792411+908707)*1348781387+166151 = 183294511186264340722
k= (422*2792411+1461974)*1348781387+166749 = 1591372419577656741
k= (84179*2792411+1636451)*1348781387+166749 = 317049950678306568489
k= (7132*2792411+743074)*1348781387+167554 = 26862624577537265716
k= (99818*2792411+2010697)*1348781387+167554 = 375952434095433325919
k= (95573*2792411+312074)*1348781387+168459 = 359961978862225924758
k= (11473*2792411+1793027)*1348781387+168459 = 43213774686961152869

14個
k= (10191*2792411+1382095)*1348781387+143220 = 38384757189047703872
k= (60295*2792411+255333)*1348781387+153681 = 227092537122229407367
k= (97112*2792411+1003297)*1348781387+155751 = 365759326870708172074
k= (1000*2792411+1650074)*1348781387+165669 = 3768577570752595307
k= (85176*2792411+598318)*1348781387+167159 = 320803603389548033257

15個
k= (79392*2792411+1918511)*1348781387+157618 = 299020804179406605719

13個
k= (62820*2792411+395081)*1348781387+170632 = 236602764365407188719
k= (21982*2792411+2185791)*1348781387+170793 = 82794897414936323884
k= (94738*2792411+727737)*1348781387+171234 = 356817635596062454519
k= (49586*2792411+1484805)*1348781387+171683 = 186760332039645566620
k= (95272*2792411+788642)*1348781387+171785 = 358828949701796096743
k= (822*2792411+2140208)*1348781387+173280 = 3098828001634516630
k= (40731*2792411+991658)*1348781387+173925 = 153408620094604239238
k= (63435*2792411+483951)*1348781387+174063 = 238919190700326299895
k= (24871*2792411+620598)*1348781387+174197 = 93673777186749435270
k= (98412*2792411+700245)*1348781387+174351 = 370655175695961571650
k= (69900*2792411+2575902)*1348781387+175304 = 263271477846291095678
k= (50444*2792411+838018)*1348781387+175511 = 189990989665637797785
k= (81313*2792411+1102495)*1348781387+176198 = 306254865708971773604
k= (21917*2792411+2145797)*1348781387+177590 = 82550030592966025298
k= (14958*2792411+2374740)*1348781387+177831 = 56340295946692526817
k= (11114*2792411+1207976)*1348781387+178110 = 41860865219648110320
k= (70736*2792411+406527)*1348781387+178640 = 266417222090332467541
k= (23491*2792411+287392)*1348781387+179798 = 88475762030016005489
k= (74579*2792411+76684)*1348781387+180131 = 280890867869729977842
k= (6477*2792411+1567934)*1348781387+181654 = 24396776585368753301
k= (12575*2792411+1052785)*1348781387+182504 = 47363296146112462074
k= (28723*2792411+2687724)*1348781387+182573 = 108184553121154254972
k= (67722*2792411+1183037)*1348781387+184191 = 255066484559861964664
k= (5200*2792411+1680901)*1348781387+185743 = 19587297472583471830
k= (38233*2792411+341289)*1348781387+186410 = 143999395638830535534
k= (62742*2792411+117820)*1348781387+187541 = 236308614946362048175
k= (635*2792411+641096)*1348781387+187599 = 2392498206702593946
k= (3114*2792411+763139)*1348781387+187767 = 11729449378549815058
k= (19521*2792411+374420)*1348781387+188115 = 73523462044595955352
k= (38529*2792411+2063319)*1348781387+189656 = 145116558467411995262

14個
k= (54677*2792411+184457)*1348781387+170866 = 205933076093067347314
k= (1761*2792411+194825)*1348781387+170954 = 6632808616026687606
k= (35852*2792411+410772)*1348781387+171621 = 135031805287889323949
k= (53763*2792411+2753225)*1348781387+176109 = 202494095088301465675
k= (22299*2792411+1480532)*1348781387+187426 = 83987879752908462353
k= (77356*2792411+885161)*1348781387+189136 = 291351117781512720735

13個
k= (85918*2792411+953540)*1348781387+190861 = 323598715676757220167
k= (59609*2792411+2344068)*1348781387+191171 = 224511636909705137200
k= (56779*2792411+1616813)*1348781387+192050 = 213851879893616554084
k= (5588*2792411+425207)*1348781387+192625 = 21046948384770285250
k= (48681*2792411+478414)*1348781387+193223 = 183350426094799822258
k= (47438*2792411+2570797)*1348781387+193303 = 178671672748848704708
k= (6746*2792411+2086353)*1348781387+194028 = 25410624502331574161
k= (65897*2792411+1006103)*1348781387+194966 = 248192653548057393956
k= (95850*2792411+1675254)*1348781387+195748 = 361007096992955256496
k= (48939*2792411+1798586)*1348781387+196188 = 184323925529487810493
k= (17599*2792411+2079395)*1348781387+196496 = 66286833174402166504
k= (19912*2792411+230807)*1348781387+196500 = 74995911966881368793
k= (88936*2792411+2018645)*1348781387+196995 = 334967002551188370962
k= (42170*2792411+1732775)*1348781387+198715 = 158829400201019641330
k= (54208*2792411+903694)*1348781387+198856 = 204167627107150064290
k= (96404*2792411+2614088)*1348781387+199317 = 363094922272616290401
k= (24939*2792411+472523)*1348781387+199730 = 93929689400698056654
k= (67090*2792411+2338268)*1348781387+200857 = 252687708261527102703
k= (90149*2792411+1491467)*1348781387+202055 = 339534876457060711277
k= (18419*2792411+1321399)*1348781387+202066 = 69374219428462278362
k= (65915*2792411+2295535)*1348781387+202786 = 248262187045608576986
k= (89941*2792411+1153140)*1348781387+203389 = 338751018915716349206
k= (74537*2792411+632798)*1348781387+203757 = 280733431162712781192
k= (46129*2792411+954025)*1348781387+203895 = 173739337332882931923
k= (76130*2792411+2275773)*1348781387+205320 = 286735445883587001881
k= (45460*2792411+2633077)*1348781387+205320 = 171221912531241774339
k= (28665*2792411+9008)*1348781387+207007 = 107962491703936485008
k= (52634*2792411+1836323)*1348781387+207389 = 198240647000662763528
k= (51856*2792411+2178552)*1348781387+208276 = 195310886751041199692

14個
k= (18037*2792411+888945)*1348781387+208421 = 67934889685564501245
k= (32074*2792411+1682231)*1348781387+209836 = 120804242421433868451

15個
k= (93483*2792411+2169221)*1348781387+208103 = 352092808105875508161
k= (84490*2792411+1528774)*1348781387+209031 = 318221140911867614499

13個
k= (45545*2792411+2131585)*1348781387+210054 = 171541376046607044514
k= (3910*2792411+1823670)*1348781387+211480 = 14728895980419604640
k= (68944*2792411+999328)*1348781387+212124 = 259668718898163425868
k= (96408*2792411+1626325)*1348781387+212147 = 363108655404193752178
k= (13442*2792411+1507600)*1348781387+212370 = 50629336760213087764
k= (95916*2792411+522344)*1348781387+212711 = 361254121200195555051
k= (11412*2792411+2466036)*1348781387+212791 = 42984934958092783207
k= (19183*2792411+2549373)*1348781387+212791 = 72253368610920908573
k= (96246*2792411+2050902)*1348781387+213900 = 362499079044720744996
k= (50466*2792411+1722083)*1348781387+214049 = 190075041819651123732
k= (27389*2792411+430229)*1348781387+215643 = 103157194710390530439
k= (3656*2792411+1048923)*1348781387+217242 = 13771197612746245835
k= (9956*2792411+1602358)*1348781387+217242 = 37499961559993719280
k= (10855*2792411+2572878)*1348781387+217242 = 40887221010812427763
k= (32850*2792411+278691)*1348781387+218085 = 123725038490569514952
k= (6989*2792411+1329823)*1348781387+218085 = 26324827640290826959
k= (63101*2792411+1032641)*1348781387+218725 = 237661969201313122549
k= (46244*2792411+2627180)*1348781387+219040 = 174174724531094729608
k= (35856*2792411+2746050)*1348781387+219542 = 135050020475315858684
k= (54253*2792411+1064672)*1348781387+220006 = 204337330070454634491
k= (76346*2792411+368819)*1348781387+220370 = 287546405847563228045
k= (4391*2792411+1492076)*1348781387+221175 = 16540064035779974874
k= (53886*2792411+1334167)*1348781387+222835 = 202955442383027487966
k= (81653*2792411+489456)*1348781387+223532 = 307534598527141495225
k= (69584*2792411+1689491)*1348781387+226170 = 262080115045430432475
k= (85597*2792411+1240071)*1348781387+228960 = 322390103158325904466


14個
k= (60649*2792411+2525471)*1348781387+210126 = 228428887643615321396
k= (92456*2792411+1752189)*1348781387+212147 = 348224202135717412282
k= (28905*2792411+371093)*1348781387+220657 = 108866904553041984233
k= (15634*2792411+1336066)*1348781387+226787 = 58884948942132357467
k= (1350*2792411+2054254)*1348781387+227423 = 5087345914792574671
k= (69652*2792411+1659826)*1348781387+228112 = 262336186968583064938

13個
k= (60704*2792411+56789)*1348781387+230375 = 228632707290274292846
k= (10443*2792411+2633551)*1348781387+230375 = 39335565828984062863
k= (34878*2792411+966467)*1348781387+230789 = 131364127968831180564
k= (49753*2792411+1851391)*1348781387+231329 = 187389807264955388567
k= (27949*2792411+1528439)*1348781387+231559 = 105267833065323835545
k= (56655*2792411+712937)*1348781387+232491 = 213383633116766535445
k= (29625*2792411+2671231)*1348781387+234071 = 111581780363154850093
k= (9064*2792411+1418308)*1348781387+234646 = 34140127349144040490
k= (60824*2792411+1404741)*1348781387+235081 = 229086487620640953816
k= (76839*2792411+1796858)*1348781387+235335 = 289405143486941803204
k= (9708*2792411+346316)*1348781387+235382 = 36564212142472641030
k= (10108*2792411+2407329)*1348781387+235630 = 38073532791107029109
k= (17380*2792411+1555318)*1348781387+235715 = 65461295225117012441
k= (8474*2792411+2656093)*1348781387+236899 = 31919649181337256908
k= (30415*2792411+1663398)*1348781387+237544 = 114555839082269954225
k= (13323*2792411+128707)*1348781387+238071 = 50179281049183216091
k= (15427*2792411+396660)*1348781387+238762 = 58104047028602343521
k= (35786*2792411+1438950)*1348781387+239046 = 134784612844449146498
k= (94142*2792411+2305428)*1348781387+240234 = 354575017775251942964
k= (66294*2792411+1308508)*1348781387+241477 = 249688303163009436831
k= (49963*2792411+60512)*1348781387+243512 = 188178325676841183547
k= (42833*2792411+1506342)*1348781387+243719 = 161326186156240523554
k= (61915*2792411+1533981)*1348781387+244053 = 233195751949131994855
k= (77995*2792411+718974)*1348781387+245060 = 293757592547857357713
k= (11438*2792411+527916)*1348781387+245224 = 43080246009434048682
k= (48458*2792411+668278)*1348781387+245796 = 182510785687920281488
k= (82069*2792411+1942267)*1348781387+245869 = 309103360475945234131
k= (5628*2792411+2265591)*1348781387+246054 = 21200084739720633567
k= (67130*2792411+406463)*1348781387+248020 = 252835756758165998611
k= (31090*2792411+558673)*1348781387+248020 = 117096636637368699601
k= (32787*2792411+2185398)*1348781387+248020 = 123490330046637401905
k= (74469*2792411+2035515)*1348781387+249526 = 280479211186541179564

14個
k= (50451*2792411+19334)*1348781387+232928 = 190016249903768398893
k= (22967*2792411+1289052)*1348781387+240373 = 86503544611993442616
k= (86233*2792411+2462120)*1348781387+240736 = 324787151295603098457
k= (19524*2792411+746139)*1348781387+242786 = 73535262468209366447
k= (6973*2792411+1018165)*1348781387+244743 = 26264145650074879059
k= (39702*2792411+1818128)*1348781387+245720 = 149534158632835200270
k= (4870*2792411+689687)*1348781387+246904 = 18343064387643960363
k= (30839*2792411+2232594)*1348781387+248020 = 116153540043461639721

15個
k= (32807*2792411+1391997)*1348781387+232529 = 123564586961769240367
k= (33931*2792411+686185)*1348781387+233047 = 127797014603060079709

13個
k= (55048*2792411+465118)*1348781387+250293 = 207330771228593938695
k= (13374*2792411+1515082)*1348781387+250815 = 50373234917042987867
k= (27615*2792411+357190)*1348781387+253724 = 104008291744600660309
k= (99238*2792411+1760219)*1348781387+254654 = 373767612106009806973
k= (77845*2792411+1590053)*1348781387+255031 = 293193814645751065707
k= (36531*2792411+2239473)*1348781387+255321 = 137591624801303700639
k= (89305*2792411+1019898)*1348781387+255392 = 336355439341054854303
k= (17288*2792411+2115793)*1348781387+255548 = 65115546801052737855
k= (71300*2792411+2161017)*1348781387+256388 = 268543811031441111067
k= (71548*2792411+1078455)*1348781387+256894 = 269476406183415444215
k= (80051*2792411+2328539)*1348781387+256894 = 301503383173451277394
k= (51080*2792411+292994)*1348781387+258152 = 192385654407743192390
k= (7368*2792411+971739)*1348781387+258152 = 27751792064303572121
k= (62897*2792411+212050)*1348781387+258734 = 236892526599188595213
k= (3979*2792411+609360)*1348781387+259428 = 14987136428427734551
k= (32455*2792411+1888208)*1348781387+259428 = 122239500344387863859
k= (21876*2792411+1787512)*1348781387+260325 = 82395126913579050401
k= (46126*2792411+889979)*1348781387+260394 = 173727951892885314449
k= (70014*2792411+1308620)*1348781387+262011 = 263699132685826064749
k= (73361*2792411+1963810)*1348781387+262027 = 276305996476499142074
k= (5163*2792411+318051)*1348781387+264200 = 19446104262549077228
k= (4842*2792411+589339)*1348781387+264300 = 18237471184643041487
k= (14853*2792411+620182)*1348781387+264748 = 55942462473446125803
k= (66397*2792411+1630173)*1348781387+265143 = 250076671272884677723
k= (79278*2792411+2754935)*1348781387+265143 = 298592568206620990834
k= (35330*2792411+269597)*1348781387+266600 = 133065579139253691449
k= (35903*2792411+96615)*1348781387+267807 = 135223465509839581283
k= (88435*2792411+1710577)*1348781387+267972 = 333079644691995429066
k= (61663*2792411+1510450)*1348781387+268041 = 232246599511580378982
k= (40891*2792411+1471025)*1348781387+268661 = 154011882972956125123
k= (5978*2792411+1933186)*1348781387+269348 = 22517859591622631076
k= (42395*2792411+2775768)*1348781387+269808 = 159678236166437046539

15個
k= (92686*2792411+288649)*1348781387+260222 = 349088489095986763487

13個
k= (48071*2792411+898958)*1348781387+273707 = 181053518607910542500
k= (4924*2792411+165486)*1348781387+274282 = 18545740362101460032
k= (38336*2792411+2387409)*1348781387+276045 = 144390089661512561480
k= (32583*2792411+2721330)*1348781387+276892 = 122722717097486300833
k= (62932*2792411+257789)*1348781387+277472 = 237024410610458365939
k= (11624*2792411+96451)*1348781387+277540 = 43780205526060593645
k= (29598*2792411+1381416)*1348781387+278921 = 111478349181185561999
k= (414*2792411+2651421)*1348781387+279862 = 1562845907698960387
k= (77545*2792411+785727)*1348781387+280756 = 292062824191316994170
k= (35870*2792411+66750)*1348781387+280922 = 135099135613088887762
k= (57815*2792411+1630073)*1348781387+280922 = 217753838431451437628
k= (25101*2792411+666129)*1348781387+281009 = 94540099553895306689
k= (97950*2792411+1606344)*1348781387+281312 = 368916343209903483590
k= (42944*2792411+305191)*1348781387+281653 = 161742631136092385378
k= (31661*2792411+515483)*1348781387+282378 = 119247165365025095976
k= (84575*2792411+2729788)*1348781387+283980 = 318542900735637010711
k= (9275*2792411+1430733)*1348781387+285073 = 34934844375881830419
k= (57310*2792411+1738767)*1348781387+287223 = 215851977285160223722
k= (382*2792411+2524201)*1348781387+287408 = 1442151052317983969
k= (61214*2792411+2012149)*1348781387+287741 = 230556184154090803602
k= (31470*2792411+1023573)*1348781387+290168 = 118528477438864099709
k= (3902*2792411+1667456)*1348781387+290340 = 14698554466030862226
k= (38562*2792411+371503)*1348781387+291500 = 145238566192875652195
k= (12318*2792411+2267576)*1348781387+291500 = 46396982174317373538
k= (57142*2792411+975089)*1348781387+292314 = 215218200117570285851
k= (22452*2792411+2516946)*1348781387+294319 = 84565529502014066185
k= (82165*2792411+1949679)*1348781387+294375 = 309464940263351712553
k= (12138*2792411+1276756)*1348781387+294476 = 45717702418045778914
k= (36363*2792411+2151568)*1348781387+294629 = 136958759103758034136
k= (30161*2792411+1026824)*1348781387+296079 = 113598327079767234144
k= (71251*2792411+469658)*1348781387+296354 = 268356978510802167307
k= (46394*2792411+2096956)*1348781387+296523 = 174738962172080774953
k= (48821*2792411+1263384)*1348781387+296791 = 183878774125156847196
k= (56290*2792411+1947888)*1348781387+296987 = 212010580322385526173
k= (3487*2792411+1011315)*1348781387+297848 = 13134633402876388512
k= (21634*2792411+2540561)*1348781387+298747 = 81484685432493505992
k= (25499*2792411+2523345)*1348781387+299620 = 96041612620966078578

14個
k= (51552*2792411+1087266)*1348781387+275494 = 194164443842373739900
k= (78019*2792411+1326443)*1348781387+276551 = 293848804338297466075
k= (26644*2792411+1038084)*1348781387+286119 = 100352082347568323335
k= (81264*2792411+2697809)*1348781387+287741 = 306072466191700456872
k= (19701*2792411+865370)*1348781387+288615 = 74202067585515733762
k= (4926*2792411+1529230)*1348781387+288763 = 18555112458588615555
k= (63802*2792411+2156444)*1348781387+288925 = 240303697705021741467
k= (4118*2792411+2425978)*1348781387+289269 = 15513109574423367481
k= (84039*2792411+642338)*1348781387+291739 = 316521320559764150768
k= (32748*2792411+820350)*1348781387+294476 = 123341601168018178562
k= (60406*2792411+2515440)*1348781387+294545 = 227513650582447376967

15個
k= (1935*2792411+1222946)*1348781387+279610 = 7289540571302986007