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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 #1100000009056642377 2,317 digits created 2026-08-08

Value

1530763168208768860361656734182597904445156703320963620710382868546066586776854107229960158797601957312313576226302986998990843515471683365795190632441715528596034573694742968916795886183118930025810129114086142824297126831894108535454994651541827373244250205024448700485242321846521651262139658849766490775529466980153472241374433074747044346363568301915732039454386386017302140250799235460822179409057823603213981239145057241845130630013282667802364797101612190199625047934625065362447094190244028205092317769372665873785141579172928185772051383092302377918283175001404572450808001167093872023246505851331593320208039307639468005113954711863770115840512573721380889266056343558685300351655340798721227100492565497345347756592873237378183069619419274560860943379067962848467799619737562609480711850775787809597448266888895344474295145443617871343428321629896288305080207941078242549881469013179691123959107313401116898245187320967093405769806488601098070239957982809105275058727674206316951956401767139046520284151846350358352927542685874162329038434098532876786801020354456494426576812894359484705634526644109782211174725420172804596859857696952425950376200474712449365057224304566493125526713082845025514674204652151058441329248913871339729648092476840581679314714728028444803421190210215642907826832370262868267042548251902485422810551486576255008045281929692881419761589627662758670301391261024740719689756906702507111735100980724441723992594612220457898448884442477258988685933630598367699361782907689885583574726131222686335362671855779431701076508946418077931025811247805997751819564840815362526300370846941234148957810443184676922158638720487380323711983375413589588607872143105325906858247042005413157663947285439672321983948242931189052761308455703465128862529443013524127121396841639626512417519298867903572947112671937062803139956540766085704593024260321593644602042377237578141641558599435606889838902484703200679228738058196636901581029400683318759805229682195389157544737828023534198801917207994423899627158866241635727079990981923115072450299847831876766553105545858494031101235656105978300881178583604910272243979895340844217083898894824235361223987875770711434989492789808160630044311257889072683389568406834942817804729817345681013465128360205597064478136102112624086174879392020512219492980373781
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,536-digit prime (201 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 21 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056642377 --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":1100000009056642377},"decimal":true,"detail":2}}'