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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 #1100000004878115421 1,905 digits created 2023-10-25

Value

897957849547030431541063455700140224495831462494510951129895397353637913954955480979069821893717613689901558510614700023737703173373798866450084193089927956279224214394303877395121889883097797721651098411191540425946413954529139931389004541467650831637782370793863749447928068267080948623905875524034809339986836301852837232836271986912971256710144870635904540319891468647425778749981370606927354286965666200603528566570964750039979501212262947656318618454865263505775870750687986154258947826581934065926350945521590755555799972788894811079358702788698415988590730511824746884730799873649087559380869426311283807744952998331925616421424931703239028114364811406740334761398190214382587046916584020273294415516579258615058382748891424978376955625652061053036849965604582267517931329836026540448020698057775153854426401585264863767375264867274984933358849472562131621514112872221703285182412886358876861936431023309070122191550872606030039403684558551445314945661835172631840927560196101909250320924575088942246212302293443962317618239344892345325625645296113553614587161712041864528715449208656905041127412004585437737497182878314307167460896465512167989773867278016227286348022773395439058396774250949707238616361962940707525013863113298783460721758031958293866230265403288763532364142975356289012542756701896908996829570909666773685255844761692254689479082569109994791174136114357924331014913060184561480488939747934558164292007285841892378324812998270011951421625578481540296215213021174250633713028025113143456639486459909502687492037870424748866228483567096428226151480566786819553478548680310661640057348325450643052815557009369561218061697853646866522319787083764099022697221948761168318759536335236247942321112666088778023965745817810448809773763563223330276126657930728601875604725485879578410548690969946463051628440425268590081549485216028853032523128147831890430431752826190085257103868037217123
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 2,429-digit prime (346 intermediate primes).

Certified number2,429-digit prime
Certificatedownload
Certificate chainshow step 72 of 346

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878115421 --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":1100000004878115421},"decimal":true,"detail":2}}'