Long primes up to 996645

Long primes: Long prime in base b is a prime number p such that the formula (b^(p-1)-1)/p (where p does not divide b) gives a cyclic number.

Highest long prime in our database is 10000th which is 308927

Checkout long primes up to: 100, 500, 1000, 10000.

List#

7, 17, 19, 23, 29, 47, 59, 61, 97, 109, 113, 131, 149, 167, 179, 181, 193, 223, 229, 233, 257, 263, 269, 313, 337, 367, 379, 383, 389, 419, 433, 461, 487, 491, 499, 503, 509, 541, 571, 577, 593, 619, 647, 659, 701, 709, 727, 743, 811, 821, 823, 857, 863, 887, 937, 941, 953, 971, 977, 983, 1019, 1021, 1033, 1051, 1063, 1069, 1087, 1091, 1097, 1103, 1109, 1153, 1171, 1181, 1193, 1217, 1223, 1229, 1259, 1291, 1297, 1301, 1303, 1327, 1367, 1381, 1429, 1433, 1447, 1487, 1531, 1543, 1549, 1553, 1567, 1571, 1579, 1583, 1607, 1619, 1621, 1663, 1697, 1709, 1741, 1777, 1783, 1789, 1811, 1823, 1847, 1861, 1873, 1913, 1949, 1979, 2017, 2029, 2063, 2069, 2099, 2113, 2137, 2141, 2143, 2153, 2179, 2207, 2221, 2251, 2269, 2273, 2297, 2309, 2339, 2341, 2371, 2383, 2389, 2411, 2417, 2423, 2447, 2459, 2473, 2539, 2543, 2549, 2579, 2593, 2617, 2621, 2633, 2657, 2663, 2687, 2699, 2713, 2731, 2741, 2753, 2767, 2777, 2789, 2819, 2833, 2851, 2861, 2887, 2897, 2903, 2909, 2927, 2939, 2971, 3011, 3019, 3023, 3137, 3167, 3221, 3251, 3257, 3259, 3299, 3301, 3313, 3331, 3343, 3371, 3389, 3407, 3433, 3461, 3463, 3469, 3527, 3539, 3571, 3581, 3593, 3607, 3617, 3623, 3659, 3673, 3701, 3709, 3727, 3767, 3779, 3821, 3833, 3847, 3863, 3943, 3967, 3989, 4007, 4019, 4051, 4057, 4073, 4091, 4099, 4127, 4139, 4153, 4177, 4211, 4217, 4219, 4229, 4259, 4261, 4327, 4337, 4339, 4349, 4421, 4423, 4447, 4451, 4457, 4463, 4567, 4583, 4651, 4673, 4691, 4703, 4783, 4793, 4817, 4931, 4937, 4943, 4967, 5021, 5059, 5087, 5099, 5153, 5167, 5179, 5189, 5233, 5273, 5297, 5303, 5309, 5381, 5393, 5417, 5419, 5501, 5503, 5527, 5531, 5581, 5623, 5651, 5657, 5659, 5669, 5701, 5737, 5741, 5743, 5749, 5779, 5783, 5807, 5821, 5857, 5861, 5869, 5897, 5903, 5927, 5939, 5981, 6011, 6029, 6047, 6073, 6113, 6131, 6143, 6211, 6217, 6221, 6247, 6257, 6263, 6269, 6287, 6301, 6337, 6343, 6353, 6367, 6389, 6473, 6553, 6571, 6619, 6659, 6661, 6673, 6691, 6701, 6703, 6709, 6737, 6779, 6793, 6823, 6829, 6833, 6857, 6863, 6869, 6899, 6949, 6967, 6971, 6977, 6983, 7019, 7057, 7069, 7103, 7109, 7177, 7193, 7207, 7219, 7229, 7247, 7309, 7349, 7393, 7411, 7433, 7451, 7457, 7459, 7487, 7499, 7541, 7577, 7583, 7607, 7673, 7687, 7691, 7699, 7703, 7727, 7753, 7793, 7817, 7823, 7829, 7873, 7901, 7927, 7937, 7949, 8017, 8059, 8069, 8087, 8171, 8179, 8219, 8233, 8263, 8269, 8273, 8287, 8291, 8297, 8353, 8377, 8389, 8423, 8429, 8447, 8501, 8513, 8537, 8543, 8623, 8647, 8663, 8669, 8699, 8713, 8731, 8741, 8753, 8783, 8807, 8819, 8821, 8861, 8863, 8887, 8971, 9011, 9029, 9059, 9103, 9109, 9137, 9221, 9257, 9341, 9343, 9371, 9377, 9421, 9461, 9473, 9491, 9497, 9539, 9623, 9629, 9697, 9739, 9743, 9749, 9767, 9781, 9811, 9817, 9829, 9833, 9851, 9857, 9887, 9931, 9949, 9967, 10007, 10061, 10069, 10091, 10103, 10139, 10141, 10177, 10181, 10211, 10223, 10247, 10259, 10273, 10301, 10313, 10337, 10343, 10433, 10457, 10459, 10463, 10487, 10499, 10513, 10531, 10567, 10589, 10607, 10651, 10657, 10663, 10687, 10691, 10709, 10739, 10781, 10789, 10847, 10859, 10861, 10903, 10937, 10939, 10949, 10979, 10993, 11047, 11057, 11059, 11069, 11131, 11149, 11171, 11177, 11257, 11273, 11287, 11299, 11353, 11383, 11393, 11423, 11447, 11497, 11503, 11549, 11579, 11593, 11617, 11621, 11633, 11657, 11699, 11701, 11731, 11743, 11777, 11783, 11789, 11807, 11821, 11833, 11863, 11887, 11897, 11903, 11909, 11927, 11939, 11941, 11953, 11971, 11981, 12011, 12073, 12101, 12113, 12143, 12149, 12251, 12263, 12269, 12377, 12379, 12421, 12451, 12457, 12473, 12487, 12491, 12497, 12503, 12527, 12539, 12553, 12577, 12583, 12589, 12611, 12647, 12659, 12697, 12713, 12743, 12781, 12821, 12823, 12899, 12941, 12953, 12979, 12983, 13007, 13063, 13099, 13103, 13109, 13127, 13177, 13217, 13229, 13291, 13297, 13313, 13331, 13337, 13339, 13367, 13381, 13411, 13421, 13451, 13457, 13463, 13469, 13487, 13499, 13537, 13577, 13669, 13691, 13697, 13709, 13781, 13789, 13807, 13829, 13859, 13873, 13901, 13903, 13913, 13931, 13967, 14011, 14029, 14033, 14057, 14087, 14143, 14153, 14177, 14207, 14251, 14303, 14327, 14341, 14423, 14447, 14503, 14537, 14543, 14549, 14593, 14621, 14629, 14633, 14657, 14669, 14699, 14713, 14731, 14737, 14741, 14753, 14767, 14779, 14783, 14887, 14891, 14897, 14939, 15017, 15073, 15137, 15139, 15149, 15193, 15217, 15233, 15259, 15263, 15287, 15299, 15349, 15377, 15383, 15461, 15473, 15527, 15581, 15583, 15607, 15619, 15629, 15647, 15727, 15731, 15737, 15739, 15749, 15767, 15823, 15859, 15887, 15901, 15913, 15971, 16007, 16033, 16073, 16091, 16097, 16103, 16127, 16139, 16183, 16193, 16217, 16223, 16229, 16273, 16339, 16349, 16411, 16417, 16421, 16433, 16447, 16451, 16487, 16553, 16567, 16607, 16619, 16657, 16661, 16673, 16691, 16699, 16703, 16741, 16823, 16829, 16931, 16937, 16943, 16979, 16981, 16993, 17011, 17029, 17033, 17099, 17167, 17183, 17189, 17207, 17257, 17291, 17327, 17377, 17383, 17389, 17393, 17417, 17419, 17491, 17497, 17579, 17581, 17657, 17669, 17713, 17737, 17749, 17783, 17789, 17807, 17863, 17891, 17903, 17909, 17939, 17971, 17981, 18059, 18061, 18127, 18143, 18211, 18217, 18229, 18251, 18269, 18287, 18301, 18313, 18341, 18353, 18379, 18457, 18461, 18503, 18539, 18583, 18593, 18661, 18691, 18713, 18743, 18749, 18793, 18859, 18869, 18899, 18913, 18979, 19073, 19139, 19141, 19181, 19207, 19219, 19259, 19273, 19309, 19379, 19417, 19421, 19429, 19433, 19447, 19457, 19463, 19469, 19541, 19543, 19553, 19571, 19577, 19583, 19661, 19687, 19697, 19699, 19709, 19727, 19739, 19753, 19793, 19819, 19913, 19927, 19949, 19979, 19993, 20047, 20051, 20063, 20101, 20113, 20143, 20149, 20177, 20183, 20233, 20261, 20297, 20327, 20393, 20407, 20411, 20509, 20543, 20549, 20611, 20663, 20743, 20753, 20789, 20807, 20857, 20873, 20897, 20899, 20939, 20983, 21011, 21017, 21019, 21023, 21059, 21101, 21143, 21149, 21179, 21211, 21247, 21269, 21377, 21383, 21407, 21419, 21487, 21503, 21577, 21611, 21617, 21647, 21673, 21701, 21713, 21727, 21737, 21767, 21817, 21821, 21851, 21859, 21863, 21937, 21977, 22051, 22063, 22073, 22109, 22153, 22189, 22193, 22229, 22247, 22259, 22273, 22291, 22303, 22343, 22349, 22367, 22381, 22433, 22469, 22541, 22549, 22567, 22619, 22669, 22691, 22697, 22709, 22727, 22739, 22741, 22783, 22811, 22817, 22859, 22861, 22901, 22937, 22943, 22993, 23011, 23017, 23021, 23029, 23059, 23063, 23087, 23099, 23131, 23143, 23269, 23291, 23297, 23327, 23339, 23371, 23417, 23459, 23473, 23497, 23509, 23531, 23537, 23539, 23567, 23581, 23593, 23633, 23663, 23669

Table#

 12345678910
1 - 1071719232947596197109
11 - 20113131149167179181193223229233
21 - 30257263269313337367379383389419
31 - 40433461487491499503509541571577
41 - 50593619647659701709727743811821
51 - 60823857863887937941953971977983
61 - 701019102110331051106310691087109110971103
71 - 801109115311711181119312171223122912591291
81 - 901297130113031327136713811429143314471487
91 - 1001531154315491553156715711579158316071619
101 - 1101621166316971709174117771783178918111823
111 - 1201847186118731913194919792017202920632069
121 - 1302099211321372141214321532179220722212251
131 - 1402269227322972309233923412371238323892411
141 - 1502417242324472459247325392543254925792593
151 - 1602617262126332657266326872699271327312741
161 - 1702753276727772789281928332851286128872897
171 - 1802903290929272939297130113019302331373167
181 - 1903221325132573259329933013313333133433371
191 - 2003389340734333461346334693527353935713581
201 - 2103593360736173623365936733701370937273767
211 - 2203779382138333847386339433967398940074019
221 - 2304051405740734091409941274139415341774211
231 - 2404217421942294259426143274337433943494421
241 - 2504423444744514457446345674583465146734691
251 - 2604703478347934817493149374943496750215059
261 - 2705087509951535167517951895233527352975303
271 - 2805309538153935417541955015503552755315581
281 - 2905623565156575659566957015737574157435749
291 - 3005779578358075821585758615869589759035927
301 - 3105939598160116029604760736113613161436211
311 - 3206217622162476257626362696287630163376343
321 - 3306353636763896473655365716619665966616673
331 - 3406691670167036709673767796793682368296833
341 - 3506857686368696899694969676971697769837019
351 - 3607057706971037109717771937207721972297247
361 - 3707309734973937411743374517457745974877499
371 - 3807541757775837607767376877691769977037727
381 - 3907753779378177823782978737901792779377949
391 - 4008017805980698087817181798219823382638269
401 - 4108273828782918297835383778389842384298447
411 - 4208501851385378543862386478663866986998713
421 - 4308731874187538783880788198821886188638887
431 - 4408971901190299059910391099137922192579341
441 - 4509343937193779421946194739491949795399623
451 - 4609629969797399743974997679781981198179829
461 - 4709833985198579887993199499967100071006110069
471 - 48010091101031013910141101771018110211102231024710259
481 - 49010273103011031310337103431043310457104591046310487
491 - 50010499105131053110567105891060710651106571066310687
501 - 51010691107091073910781107891084710859108611090310937
511 - 52010939109491097910993110471105711059110691113111149
521 - 53011171111771125711273112871129911353113831139311423
531 - 54011447114971150311549115791159311617116211163311657
541 - 55011699117011173111743117771178311789118071182111833
551 - 56011863118871189711903119091192711939119411195311971
561 - 57011981120111207312101121131214312149122511226312269
571 - 58012377123791242112451124571247312487124911249712503
581 - 59012527125391255312577125831258912611126471265912697
591 - 60012713127431278112821128231289912941129531297912983
601 - 61013007130631309913103131091312713177132171322913291
611 - 62013297133131333113337133391336713381134111342113451
621 - 63013457134631346913487134991353713577136691369113697
631 - 64013709137811378913807138291385913873139011390313913
641 - 65013931139671401114029140331405714087141431415314177
651 - 66014207142511430314327143411442314447145031453714543
661 - 67014549145931462114629146331465714669146991471314731
671 - 68014737147411475314767147791478314887148911489714939
681 - 69015017150731513715139151491519315217152331525915263
691 - 70015287152991534915377153831546115473155271558115583
701 - 71015607156191562915647157271573115737157391574915767
711 - 72015823158591588715901159131597116007160331607316091
721 - 73016097161031612716139161831619316217162231622916273
731 - 74016339163491641116417164211643316447164511648716553
741 - 75016567166071661916657166611667316691166991670316741
751 - 76016823168291693116937169431697916981169931701117029
761 - 77017033170991716717183171891720717257172911732717377
771 - 78017383173891739317417174191749117497175791758117657
781 - 79017669177131773717749177831778917807178631789117903
791 - 80017909179391797117981180591806118127181431821118217
801 - 81018229182511826918287183011831318341183531837918457
811 - 82018461185031853918583185931866118691187131874318749
821 - 83018793188591886918899189131897919073191391914119181
831 - 84019207192191925919273193091937919417194211942919433
841 - 85019447194571946319469195411954319553195711957719583
851 - 86019661196871969719699197091972719739197531979319819
861 - 87019913199271994919979199932004720051200632010120113
871 - 88020143201492017720183202332026120297203272039320407
881 - 89020411205092054320549206112066320743207532078920807
891 - 90020857208732089720899209392098321011210172101921023
901 - 91021059211012114321149211792121121247212692137721383
911 - 92021407214192148721503215772161121617216472167321701
921 - 93021713217272173721767218172182121851218592186321937
931 - 94021977220512206322073221092215322189221932222922247
941 - 95022259222732229122303223432234922367223812243322469
951 - 96022541225492256722619226692269122697227092272722739
961 - 97022741227832281122817228592286122901229372294322993
971 - 98023011230172302123029230592306323087230992313123143
981 - 99023269232912329723327233392337123417234592347323497
991 - 100023509235312353723539235672358123593236332366323669
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