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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 #1100000008678588576 1,520 digits created 2026-03-11

Value

18321522858261319688753800486417007337270472528860835637225272566151891643236134519525956621622694674022130596443341924937299880521612724542607505666676972985340799496554536794751901006363956858782951631520621047535626492241411462411043035436524676287876484720327408786388972789557493078439754099348794047450055632838314922537038706414615268280299787190205906544053013680504182899124123806978410288974152577174826886413961761081140984840121352040278383063036428187321312363515768054738031438946496431953368770453254798843051451438897172963134679911719943037241794088424599699185254067795161908483847076411812226324562379260874420531110651125540790477927983120145260294669248133582465204203502378975490266848177297244096673874482991403694286569874946251337342981630923411416379516228696220457981430347950250465225001745242416247248517763337218996955102718166371521994257134557554940440985998919369818006203855064894256077782112722089937200826454206872038293187674407805124839623606148410771687858447123675889762341680240290153336767897198731743641000584557741443729909718555180966944166290279756774183135978319134210818716345538461765318501067612935581753420417263017718062210155590871660368339146164384946898892057612843394701363965899557356983661633148348290375008404207284730572333225327527837382828561818771186901291917312061142970728370818699211151502700370774809810777701651645744832680672641366499443031508253881008885824195819300569347855957124391936999146505633445420634270981442091190210519265010832984371627411
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,096-digit prime (140 intermediate primes).

Certified number2,096-digit prime
Certificatedownload
Certificate chainshow step 37 of 140

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678588576 --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":1100000008678588576},"decimal":true,"detail":2}}'