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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 #1100000008680827229 2,061 digits created 2026-03-12

Value

671562576027126364349466941057968690187743632250166424051104999068401720521348868975528972018472432964947617918488968835107254356814132535318105452000336351140342780307058497000718921170062069962504876668572481187992845361258101845202711297605599026503490776431152045151304555177074775738260650707830197051451311183038422863598567096936658510652039474429094335731014255225146730339426988855069675183344175517053895365482841548413595233531359049117060979883131690243544356195329036834615742750074306872978704826895158062719807831910286549995048716840060120697660160648577380981347667780921777144435774456220118164160266190776034306528846112983458538870940732039668685288506540664558268883447648108810249855732126973784100695605432422979987921744818851988399882096789517714412504764600291525317438837361233136302714140411850834595600522061246398579912068869289785252735286892035572017998266588006262677440534054285112339896683603146941850953116894451943837391314385444117196335450579431754597332785873715518365491668378520624004274863290828253336413314964917382408933817118618990183521425288751051462669567096968005110493278895457445409658034010381207375002951487138648017490720459597825580402488554500575575841477644016274712190798070608297338758866289848974883603786772582736504401802711471328090824918846928317127147717293120204999540973330844664706556813118857470597423448738172406528823181336918207592829676375339127229121777991572568832498659960598947880571539481232544268612656368743038128264880766374114756119122338093344173459275714052342962441698464906932095565412391009063764760274584943759760558887225395709014050327183450740911367343221390965370507784150316967361428889716085526700446486898321719267182598410455925126276422032502675380367176174679150898635822387868237884782618300821948161896522991334732626680949265202314638214435790919607316356251723007364821745512377871293103113995023228894348592431659040951615787399839805316636512395331148383450619330377552998519533262908758936771927199518886262821651462296589658540196113149104447831985636179
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 40 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680827229 --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":1100000008680827229},"decimal":true,"detail":2}}'