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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 #1100000009102976197 2,170 digits created 2026-08-23

Value

4138917962508926135274389883668456627087355472112883930717894721292697551045081274978997150770769444150346035494130713371830601211477403068272271216663744492777189423264766342621428537005400611571011254431474802234727413866078841817355777772827022019579999183467009037908228059317534304935145945473020952956552075224058976239518128029669417794069255391557790640379153418416916175923929227729286320539655385358896992071540519778449801522887554726196093082237658707912541134131626577205918289130310685349036237480998613853494824703396684371502050434064872076156746955278525876840372111576326958244453865439334771884804668721742692357387550510307985317416785606874597820559051372723237024568186976489962012695282477345192059585717319355191684849311626244520166565223152511768208291023226650976325058286679876201343576343310776124617331177310978762146876283598865023839554859568006316299578190825759106503520662860772381716474019472665385509639682837588202655634561040593913545819165879782875608364044253050099663353409308598501605722638429684641640227097215434669608518050539173450798246692442859727184164797233842162390239592497215605375384641297102033288658976439772753066447989093632501714676490765094813751113579556094051628544893313670944481891898598365093540862587425498356322017426115321390708731635047900962198417635167307417046270305807194307466555158855587327612281110297366296898224578816138940419297408174961530088313968579593735576826812210541678458583165980141238530923485155482593798234332556162308235347238849100394876240062104613710521934123687449728591266489888707538713981927554460064328336197076318791455864216408112364222240062803537296107240900063487484975911228347489600758011812938974544362746430906577952213763160214537137224939651455477342102956878790160639837504304299517815490736417201503601197325233743249805435550489175218918145598069747032768950105145478606841744352524419294282176481779192450979178188190689381799654712427980053530311346719908205519302371960495314352474662237105663032567854511467163276224136646398809725598173145241815533257104538918951631917929905559194183835257075659207097026709696389921416596204801508042333960287797391
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 2,985-digit prime (222 intermediate primes).

Certified number2,985-digit prime
Certificatedownload
Certificate chainshow step 71 of 222

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009102976197 --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":1100000009102976197},"decimal":true,"detail":2}}'