|
Generalized Fermat Prime (base 10) |
Prime |
Composite |
Form |
|
10n+1 |
102n+1 |
|
f1(10) |
a(0) |
11 |
|
101+1 |
|
f2(10) |
a(1) |
101 |
|
102+1 |
|
f3(10) |
|
|
1001= 7*11*13 |
103+1 |
|
f4(10) |
a(2) |
|
10001= 73*137 |
104+1 |
|
f5(10) |
|
|
100001= 11*9091 |
105+1 |
|
f6(10) |
|
|
1000001= 101*9901 |
106+1 |
|
f7(10) |
|
|
10000001= 11*909091 |
107+1 |
|
f8(10) |
a(3) |
|
100000001= 17*5882353 |
108+1 |
|
f9(10) |
|
|
1000000001= 11*7*13*19*52579 |
109+1 |
|
f10(10) |
|
|
10000000001= 101*3541*27961 |
1010+1 |
|
f11(10) |
|
|
100000000001= 11*11*23*4093*8779 |
1011+1 |
|
f12(10) |
|
|
1000000000001= 73*137*99990001 |
1012+1 |
|
f13(10) |
|
|
10000000000001= 11*859*1058313049 |
1013+1 |
|
f14(10) |
|
|
100000000000001= 29*101*281*121499449 |
1014+1 |
|
f15(10) |
|
|
1000000000000001= 7*11*13*211*241*2161*9091 |
1015+1 |
|
f16(10) |
a(4) |
|
10000000000000001= 353*449*641*1409*69857 |
1016+1 |
|
f17(10) |
|
|
100000000000000001= 11*103*4013*21993833369 |
1017+1 |
|
f18(10) |
|
|
1000000000000000001= 101*9901*999999000001 |
1018+1 |
|
f19(10) |
|
|
10000000000000000001= 11*909090909090909091 |
1019+1 |
|
f20(10) |
|
|
100000000000000000001= 73*137*1676321*5964848081 |
1020+1 |
|
f21(10) |
|
|
1000000000000000000001=
7*7*11*13*127*2689*459691*909091 |
1021+1 |
|
f22(10) |
|
|
10000000000000000000001=
89*101*1052788969*1056689261 |
1022+1 |
|
f23(10) |
|
|
100000000000000000000001=
11*47*139*2531*549797184491917 |
1023+1 |
|
f24(10) |
|
|
1000000000000000000000001=
17*5882353*9999999900000001 |
1024+1 |
|
f25(10) |
|
|
10000000000000000000000001=
11*251*5051*9091*78875943472201 |
1025+1 |
|
f26(10) |
|
|
100000000000000000000000001=
101*521*1900381976777332243781 |
1026+1 |
|
f27(10) |
|
|
1000000000000000000000000001=
7*11*13*19*52579*70541929*14175966169 |
1027+1 |
|
f28(10) |
|
|
10000000000000000000000000001=
73*137*7841*127522001020150503761 |
1028+1 |
|
f29(10) |
|
|
100000000000000000000000000001=
11*59*154083204930662557781201849 |
1029+1 |
|
f30(10) |
|
|
1000000000000000000000000000001=
61*101*3541*9901*27961*4188901*39526741 |
1030+1 |
|
f31(10) |
|
|
10000000000000000000000000000001=
11*909090909090909090909090909091 |
1031+1 |
|
f32(10) |
a(5) |
|
100000000000000000000000000000001=
19841*976193*6187457*834427406578561 |
1032+1 |
|
f33(10) |
|
|
1000000000000000000000000000000001=
7*11*11*13*23*4093*8779*599144041*183411838171 |
1033+1 |
|
f34(10) |
|
|
10000000000000000000000000000000001=
101*28559389*1491383821*2324557465671829 |
1034+1 |
|
f35(10) |
|
|
100000000000000000000000000000000001=
11*9091*909091*4147571*265212793249617641 |
1035+1 |
|
f36(10) |
|
|
1000000000000000000000000000000000001=
73*137*316998641*99990001*3199044596370769 |
1036+1 |
|
f37(10) |
|
|
10000000000000000000000000000000000001=
11*7253*422650073734453*296557347313446299 |
1037+1 |
|
f38(10) |
|
|
100000000000000000000000000000000000001=
101*722817036322379041*1369778187490592461 |
1038+1 |
|
f39(10) |
|
|
1000000000000000000000000000000000000001=
7*11*13*13*157157859*6397*216451*1058313049*388847808493 |
1039+1 |
|
f40(10) |
|
|
10000000000000000000000000000000000000001=
17*5070721*5882353*19721061166646717498359681 |
1040+1 |
|
f41(10) |
|
|
100000000000000000000000000000000000000001=
11*2670502781396266997*3404193829806058997303 |
1041+1 |
|
f42(10) |
|
|
1000000000000000000000000000000000000000001=
29*101*281*9901*226549*121499449*4458192223320340849 |
1042+1 |
|
f43(10) |
|
|
10000000000000000000000000000000000000000001=
11*57009401*2182600451*7306116556571817748755241 |
1043+1 |
|
f44(10) |
|
|
100000000000000000000000000000000000000000001=
73*137*617*16205834846012967584927082656402106953 |
1044+1 |
|
f45(10) |
|
|
1000000000000000000000000000000000000000000001=
7*11*13*19*211*241*2161*9091*29611*52579*3762091*8985695684401 |
1045+1 |
|
f46(10) |
|
|
10000000000000000000000000000000000000000000001=
101*1289*18371524594609*4181003300071669867932658901 |
1046+1 |
|
f47(10) |
|
|
100000000000000000000000000000000000000000000001=
11*6299*4855067598095567*297262705009139006771611927 |
1047+1 |
|
f48(10) |
|
|
1000000000000000000000000000000000000000000000001=
97*353*449*641*1409*69857*206209*66554101249*75118313082913 |
1048+1 |
|
f49(10) |
|
|
10000000000000000000000000000000000000000000000001=
11*197*909091*5076141624365532994918781726395939035533 |
1049+1 |
|
f50(10) |
|
|
100000000000000000000000000000000000000000000000001=
101*3541*27961*60101*7019801*14103673319201*1680588011350901 |
1050+1 |
|
f51(10) |
|
|
1000000000000000000000000000000000000000000000000001=
7*11*13*103*4013*21993833369*291078844423*377526955309799110357 |
10511 |
|
f52(10) |
|
|
10000000000000000000000000000000000000000000000000001=
73*137*1580801*632527440202150745090622412245443923049201 |
1052+1 |
|
f53(10) |
|
|
100000000000000000000000000000000000000000000000000001=
11*9090909090909090909090909090909090909090909090909091 |
1053+1 |
|
f54(10) |
|
|
1000000000000000000000000000000000000000000000000000001=
101*109*9901*153469*999999000001*59779577156334533866654838281 |
1054+1 |
|
f55(10) |
|
|
10000000000000000000000000000000000000000000000000000001=
11*11*23*331*4093*5171*8779*9091*20163494891*318727841165674579776721 |
1055+1 |
|
f56(10) |
|
|
100000000000000000000000000000000000000000000000000000001=
17*113*52056220718375845913586673607496095783446121811556481 |
1056+1 |
|
f57(10) |
|
|
1000000000000000000000000000000000000000000000000000000001=
7*11*13*1458973*684728914792116784202998272758302587504361629037 |
1057+1 |
|
f58(10) |
|
|
10000000000000000000000000000000000000000000000000000000001=
101*349*38861*618049*11811806375201836408679635736258669583187541 |
10581 |
|
f59(10) |
|
|
100000000000000000000000000000000000000000000000000000000001=
11*1889*4812551133355791905288993695558015303912604071418258819 |
1059+1 |
|
f60(10) |
|
|
1000000000000000000000000000000000000000000000000000000000001=
73*137*1676321*59648480809999999999403515191900000000005964848081 |
1060+1 |
|
f61(10) |
|
|
10000000000000000000000000000000000000000000000000000000000001=
11*81131*11205222530116836855321528257890437575145023592596037161 |
1061+1 |
|
f62(10) |
|
|
100000000000000000000000000000000000000000000000000000000000001=
101*990099009900990099009900990099009900990099009900990099009901 |
1062+1 |
|
f63(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000001=
7*7*11*13*19*127*2689*52579*459691*910000090089999909909090089999909910000091 |
1063+1 |
|
f64(10) |
a(6) |
|
10000000000000000000000000000000000000000000000000000000000000001=
1265011073*15343168188889137818369*515217525265213267447869906815873 |
1064+1 |
|
f65(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000001=
11*131*859*9091*1058313049*8396862596258693901610602298557167100076327481 |
1065+1 |
|
f66(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000001=
89*101*9901*1052788969*1056689261*5419170769*789390798020221*2361000305507449 |
1066+1 |
|
f67(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000001=
11*909090909090909090909090909090909090909090909090909090909090909091 |
1067+1 |
|
f68(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000001=
73*137*152533657*65552746171882583264230070868884366877803237222654400793 |
1068+1 |
|
f69(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000001=
7*11*13*47*139*2531*31051*143574021480139*549797184491917*24649445347649059192745899 |
1069+1 |
|
f70(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000001=
29*101*281*421*3541*27961*3471301*13489841*121499449*60368344121*848654483879497562821 |
1070+1 |
|
f71(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000001=
11*290249*31321069464181068355415209323405389541706979493156189716729115659 |
1071+1 |
|
f72(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000001=
17*8929*5882353*9999999900000001*111994624258035614290513943330720125433979169 |
1072+1 |
|
f73(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000001=
11*293*10826684964539959837294043117*286578888976194997999922592330908602103011 |
1073+1 |
|
f74(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000001=
101*149*3109*111149*708840373781*669031686661427842829*40548140514062774758071840361 |
1074+1 |
|
f75(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000001=
7*11*13*211*241*251*2161*5051*9091*78875943472201*10000099999999989999899999000000000100001 |
1075+1 |
|
f76(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000001=
73*137*457*1403417*5240808656722481737*297478330786365628414805305290302483555043017 |
1076+1 |
|
f77(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000001=
11*11*23*463*4093*8779*24179*590437*909091*7444361*4539402627853030477*4924630160315726207887 |
1077+1 |
|
f78(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*521*3121*9901*53397071018461*1900381976777332243781*6060517860310398033985611921721 |
1078+1 |
|
f79(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*1423*9615060929*66443174541490579097997510158021076958392938976011506949065646573 |
1079+1 |
|
f80(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000001=
353*449*641*1409*69857*1634881*18453761*947147262401*349954396040122577928041596214187605761 |
1080+1 |
|
f81(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000001=
7*11*13*19*1459*52579*70541929*2458921051*14175966169*456502382570032651*610600386089858349939139 |
1081+1 |
|
f82(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*68389*1447745997018511893740076606031686237538345362413531560645573104006506749609 |
1082+1 |
|
f83(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*167*997*3565183*2097307081*7742098247001476863*943176903141330068482602900960294299878841 |
1083+1 |
|
f84(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
73*137*7841*99990001*11189053009*603812429055411913*127522001020150503761*148029423400750506553 |
1084+1 |
|
f85(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*103*4013*9091*87211*87223761*1993833369*160220794821014452066741918303580917664386555934641 |
1085+1 |
|
f86(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*338669*2923500556298303355222653948542706598448925085853709961673200056984872843366529 |
1086+1 |
|
f87(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
7*11*13*59*638453709757*135080726389891*154083204930662557781201849*1274194732898148471766404179653 |
1087+1 |
|
f88(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
17*5882353*10100113*9900879227786858424257223656804730798555422102713108259184822982673560177 |
1088+1 |
|
f89(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*179*12147237304901893*4180967272673252032291190917188955510245874180001164839931077197586653 |
1089+1 |
|
f90(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
61*101*181*3541*9901*27961*4188901*39526741*999999000001*4999437541453012143121*1105097795002994798105101 |
1090+1 |
|
f91(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*859*909091*21705503*1058313049*50678387411703889101759125785290439894389920385627096501794498837 |
1091+1 |
|
f92(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
73*137*2393*4178437150016715837818641871709193476807772628503969494400330129962348520684914375257 |
1092+1 |
|
f93(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
7*11*13*373*44641*3590254957*909090909090909090909090909091*18381907262281244633158190677786966663091011 |
1093+1 |
|
f94(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*45121*2144906157509411684424913774078958939881*1023037643093214557651333120422980213172396059301 |
1094+1 |
|
f95(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*9091*1812604116731*121450506296081*909090909090909091*4996731930447843676185843959746621491531100801 |
1095+1 |
|
f96(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
193*769*19841*976193*6187457*834427406578561*1253224535459902849*53763491189967221358575546107279034709697 |
1096+1 |
|
f97(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*102527361354613106010527*323338434891034089173475790125293*27422699366054621683295623079471066588881 |
1097+1 |
|
f98(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
29*101*281*121499449*999999999999990000000000000099999999999999000000000000009999999999999900000000000001 |
1098+1 |
|
f99(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
7*11*11*13*19*23*4093*8779*52579*599144041*7093127053*183411838171*141122524877886182282233539317796144938305111168717 |
1099+1 |
|
f100(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
73*137*401*1201*1601*1676321*5964848081*129694419029057750551385771184564274499075700947656757821537291527196801 |
10100+1 |
|
f101(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*607*809*1213*1327067281*11500490394117824585468796003575163076836624586334794818271756072956027758946488969 |
10101+1 |
|
f102(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*409*3061*9901*5969449*28559389*134703241*1491383821*225974065503889*2324557465671829*44398000479007997569751764249 |
10102+1 |
|
f103(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*1237*44092859*102860539*984385009*612053256358933*182725114866521155647161*1471865453993855302660887614137521979 |
10103+1 |
|
f104(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
17*1249*49297*300977*648961*5882353*249227787818677482257*333632766438409011274705987026407639670042305536743429073 |
10104+1 |
|
f105(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
7*7*11*13*127*211*241*2161*2689*9091*459691*909091*4147571*29970369241*1661378260814161*265212793249617641*18276168846821336356291 |
10105+1 |
|
f406(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*1061*5051749*245391150214875249502685807421982149521*75277048352808729626679875852901448034540173569840168229 |
10106+1 |
|
f107(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*1499*28463*74687*392263*795653*9140689231828972552925524522037823147045937571379494322686226282352288670801988451 |
10107+1 |
|
f108(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
73*137*3169*98641*99990001*3199044596370769*1726290008991504500177463302688697*579276943498154282123686999881829009033 |
10108+1 |
|
f109(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*3338786746233023*14060959683864286267405933000927102019*19364383321148719295180578853325741855858987848620134943 |
10109+1 |
|
f110(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
89*101*661*3541*18041*27961*148721*1052788969*1056689261*1121407321*1395900370916327245555441901*36380545029953205956377406702261 |
10110+1 |
|
f111(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
7*11*13*223*4663*7253*422650073734453*296557347313446299*21606064498691505246200058094681*48911689110891303706174193415115219 |
10111+1 |
|
f112(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
353*449*641*673*1409*69857*43735845217*217860610452031121598489279950204653537*155944009296214054100626916003794407157304353 |
10112+1 |
|
f113(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*4973*4426889*412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303 |
10113+1 |
|
f114(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*229*2281*4789*9901*304077901*52875286008709*722817036322379041*739653893349540289*1369778187490592461*33950736420661075851541 |
10114+1 |
|
f115(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*47*139*691*2531*9091*549797184491917*15918798843849477568899983937931966555877132981347465830696251648192619376266439940521 |
10115+1 |
|
f116(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
73*137*233*355193*21591416633*17468739848498438039329935679794457*320326994163169943384295066992439316655840979654890345228609 |
10116+1 |
|
f117(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
7*11*13*13*19*157*859*6397*52579*216451*461917*60034573*1058313049*388847808493*36096800156828895568286578224818258719817914995401933354161 |
10117+1 |
|
f118(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*430148941*230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561 |
10118+1 |
|
f119(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*103*4013*909091*1868879293*21993833369*5673320472670315859129*103746647830421551242486430622636901002236971549990724717454338463 |
10119+1 |
|
f120(10) |
|
|
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
17*5070721*5882353*1132716961*9999999900000001*19721061166646717498359681*281259985248437790051014401*31388506438433752927908678241 |
10120+1 |
|
f121(10) |
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
11*11*11*23*4093*4357*8779*25169*1485397*102502981431359171598893*544471001372579296332291652675646774644208265246405598834086237345292487 |
10121+1 |
|
f122(10) |
|
|
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001=
101*1587221*81183810541*101444162656037151745878558385892753596849*75743388768260974116327848920184337528059461788181539337429709 |
10122+1 |
|
f123(10) |
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