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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000008668726638 4,369 digits created 2026-03-06

Value

6167777806083458417214460487904857794028473948132838758436186959925373185676596325042693313187156599065373365184940891004929017949897805498533763568330100536784030525542216722230289613950603111356975696296835860254869630671764929627198733402279442358339779879522422134279968847672005752437818369258055640911835536060072611544556190593520141101793909641547344620125926845594080746277212186852081277992286229314861729271032187265384387363267586511484434274128105475644719396194040338625105233871189401765496597071635937188920136425305519485920242985859176226609093960046192339342547066855322478743577504792323215774574373972946829515528957820444009063481451709890508132585276786900496906281007490629982076868345992601427509191685679804179832047763097892126500259047523260963517615577443950002347552068739602937520923236406346587426103790901979322919284973281979076384214880430095514989210719209013276050638753924129651396650594520053392046803686706446164594627040309210197655366835373364480560114232723675987630366562818527343381480642719353120103737521594263836711485569520792310344005536866369970741449705560406413659950296803387869192067766815824378570382273697869754141886960305281022679733078776606717412554176780710538110823146340878373186924972661385000082743423744438944301570685934640653165892635138176678367838989244540518654728131491506216384884289343990695516579172243605970473099879084658028592662545775624176468291931420419649563574857021546265680165509594254433986043801587800994197875786658905661364440575500772247411750679871744310422581479484232832899241628623665336101541776592732355732837748638395570615086597821796226012564986896380519250318797611419356786584209902343448795852533158970308311251151930253186473139939828166882772450276088634711984316905314652905037091833553858036435783372611562948631971774027848196805631428487471351658981430400233086392610713624740527140623301388533662768414163209631689375709068373478992378381935121023929114118742186727773397324268595623640101219943960658871128074477878731168595643147449275946412256279844934774600132847671530829595426784242066739777299337845291304596471914483213644969371921400009335582698032571341276590870204336299377027723907548554055547770680550210616251578341395199381289978637269772379789835748517627279729943349359521641528161892238793003799497212932311599684384737947326819972697900293158965477144300235332769788880325992400728955636427197902292875553552559883981202370459028115483718704476800070145964212516652313087317686656766939837337895041086369329723295863169322066180014986464072847153105528267344415183045670142728445662315083720048773818710361385222792888609841972370614986302187213556131420884243397675784536399775233315633678483493243739609384124298840239655979078631438548202261325850852856876124875970310610131100249383952602254931242047492953606295476203291370462757313131173137404863529360949379000260229100224869507634493806720283247138984486490792369550715946484451384598625248493117821191243246272170464140546823732213176326361871783277352902914892364771074792040984679947515464254167878490049846809428268125555620331331770550688614976882694842039343096543153562417216416522935936049552015664718569842738886249166312545955937856834445561280653935643309285642041569688949889138802285676650122418686513244185485699900203493380343134549315895375799864749680864351448616644575953933681748573009681138462826758363464556214633525371350411471420629353149793325797612392732209812137732532032943193841626021247127249809611435903248536532450238879210795787805131753073465835483297805812394629526356743629652807324579445104114840826033380889650154176942622385300679394387486580076304703051090905462522049384286904648885283327259352894452786292114674935285201188819820838380855769769810427827528833593620760642533660437408210556772468335026652747172310499864158036136405469904136877172072542231315788013947749747834707285455018864505336214791678076863479097684248009431649214655316732765894753961754398536594838715782179079513518688508758034400531250690761963279599658115053825187045131389385969658708965472422555558658867621235297252691467562122815377258624874621018784662973882987959497077464496027836131313812584994266783249025847011628888591426892768961651729459381712938644374867253062836788008691271331010135290550392941729910999597264731880316139787273542711057711338441407
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 177 of the certificate chain of a 6,995-digit prime (463 intermediate primes).

Certified number6,995-digit prime
Certificatedownload
Certificate chainshow step 177 of 463

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008668726638 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000008668726638},"decimal":true,"detail":2}}'