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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 #1100000008678590810 1,589 digits created 2026-03-11

Value

10037524903941929327064255358158039685208706753179577808669453236878646619451104010049227509130557865250720135940372776797443105467276639575593139238689738011109258623151748920696206541863131731104902987034302118010496810740901763731338679566653448978868092500051914825825172656271984056958314670069084916708359661131435708044608502097818041786095838111235525886225177594975396634541838240368606957794209745546576337452719381982812650434738936191303668448956425562901929462702650492028537100053461291096846295289165799597930996834195908032755985643369313090580511677624419555602881828419616756684458606363685844001074936216877968671803531410780974319741025198307983622405851175198063498000929695047811588408499373586388017526229262073620382083834944809499346307438579334085354136977414811833912924550421621189644385576929499472353691806044271082042143418094551100625884026262282762215488946997748347263387017257482828614214063780138632273724940996905815941165609406332453170734291241883872173694815430897179307896481196131971288550279611653378124312373437240976871353588378724955121511101650861917967700600993810428982973572480390733468877097015147885910419682157545938127375690709781444682397314250147345812771593947487713418205831898635275102029505699746652807362269116213861093456495795838579323709252859530537545530775822861948436572067155464911718308782016504399753464248242337511111175092922683695599995489995298979969027597693056325104183104671190311155408334213178630530260307628599434351469867022532936494847159583733954583415093856459432045251703859153481746303815565590432915053
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 2,394-digit prime (160 intermediate primes).

Certified number2,394-digit prime
Certificatedownload
Certificate chainshow step 54 of 160

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678590810 --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":1100000008678590810},"decimal":true,"detail":2}}'