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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 #1100000008678588142 1,622 digits created 2026-03-11

Value

22217670808926473627460142454844750017387614050486726905196319054448730330889641126408624832022669822748292536574256343042739362570331371159640941283399704642630734373754094660593569144757428224746290459651229055941177059769396392036932160102913095150526038215223442801097731407204963530206542024067686783273871833213847437100848920471104527607837723182243525337135544994864699588242843852375008965382360727107534934387522647137700877765930701301498260503282751075052759053276632702697762363059586236829758596731715441926278252063947844395341928064892766966056985430502072981279769558981113196517066508977152920517307202864603361084523403470464486743983458906944644410214463408190935083248123936623945241146322730681984264395987261582572696324732643791551058442560391842184913499866992539599167272375928670880800544635832764448603930226621832365115538206822558602319118939438819579301434658015798476736532522960943829537424438984848408846956597778886409451173211773871503223418893823147128715908861214403202683812735032875119907285301765529354778631721409430912099837640210899855231350781919552803411158438434186733062857842790575321347575242089028111557224010427259513078427912286542258264354580590742834177211476123883948941915974473910529356800716389856730429796202152038952093238750535475492235731223917844563813695046907016599982167878912466298764156797287601449013621191218914309805225009016129971271825197479384778182384554979238447900474537458450363144741640360924679600326446495974837037417701165873995455999932149926516306316517702203449948298499703712762686833415769116989828016398209852605907179819206368644347
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,096-digit prime (140 intermediate primes).

Certified number2,096-digit prime
Certificatedownload
Certificate chainshow step 30 of 140

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678588142 --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":1100000008678588142},"decimal":true,"detail":2}}'