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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 #1100000009057950311 1,976 digits created 2026-08-08

Value

10525734048416888969671617117093133045796736766883245632362265343065015510440933990511875979056649615837045712638956670090877425477474845697486323215696767880311557533787500309981192188591179646898157700403672245152818949133198477529112722275715626833557003578757252984081726833233186215318580801275592374512322895532907701146859724558913936750665598884977171235911500046005422890522573565579988370012421554874596192562041361796659521794779961308646098803789859729503211197258196123087716550272574844385685581935164026517232262954467343820743103772063249905492742156135713339341325520902731683542376226380563907055233754231076961607821261078748524044813209409554243370002244960083925535998948824668115746266575579038737378238291564878785586501015013156247825567392495674056518260264398704738854761103707824484385267954684246467618030432352810642096358703745411159289328141367643725701167012469222958979712315130080906788204777136775472679663153807127969900306704360670818818836487742732864471004754740095676517230345548093832089590894985774008146589098730581323820817645286248705011615458697610630294015748592939805772767371083318571509017011923305050632550624940634002572023752337489913476790316662221971738706265433186318802389093020808929201104879097743356427535982641806850392789015799261090457200212869861351778055044578447823050175494212558432251197657742461139429539026010220797090449953539699840224233141768324524347635890826850873756675758168770842647600596013591841381676235723722220881192599215483322831972371236209764902522987576423400575468050707267690236828067098547029873966062900278949351976176840941973738652563792148037050963067521351483860650018058761683879211080315091749341138127517249222779193631097213792307145447215596786249442052198421933045810045588286630982610655413453773722770636075117099141457460139163947772851675370197100061091805602977214932709533403425992837865511713032921200269448934833658888140554341845427570735192402779644471153221940351
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,254-digit prime (178 intermediate primes).

Certified number2,254-digit prime
Certificatedownload
Certificate chainshow step 25 of 178

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057950311 --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":1100000009057950311},"decimal":true,"detail":2}}'