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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 #1100000004854282497 2,085 digits created 2023-10-24

Value

159737265014741477252735113371973362146819792848166568701803472352693277754017463296670291128649280544485313184972434413547203838184084761745501356345618395818712445342487521194249923342649185741701496831588958955197460390392073677967407927448951225444070449698613417703162592577150907525892502049654113229717121774385419132350204832592194932355889936068125502257075062945434877450689780368849498033607549661910116284819137719900252820627836489624004130911166172966838880347863673692819144706409678880885545977925591827365060202501605355803586262347328423816860905521374412286645564614884766842796157014299701392160502662878648304801954452666553609913602943330234413741249022817892531832225797791556969087409002997095374325271526766360754824600667221432876414371166172629414341809745226169075218279825775987767387058285709132907880215470315778246874056337548351450873975441747811070823316439793009797029725327510241865378410548790600064007364256663427003875216699996019873071904730403136741805418431340758646396878482766874282993153975067628561350223059175004989628998987553701286287939267419589039135388150620399985228954309897161539192414426758355853573639494946899999350426179902145412059832907462243573115278538547970925891484686273985912281258952607731064998810116722989561446348330280927981534414203673979720405937120109898848791496375754288918780506211380449859472937613963707019383627347031702200958488160803414926207596410503765529087525381540202790223635693832967405508949730830256291245458976618606013959555768844541521737728680829279748717625004713846279007460328361112143320514373777705432653912762896173452595506085340051238777847688566444662439100738769880761555720926956482881406932196310714115876320514463860599384755149686984001237588133892696433965321272705245830472674401637676913339361461738625976256038979530301963010325632201090748447619987385264741895698614205261775325367301445673138931577875719665614593233460108203520934826927417573116142082388659163228248453481959220201224084690589794121694615775633016567255462935400055865052752321718005892128635550222081
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 3,094-digit prime (232 intermediate primes).

Certified number3,094-digit prime
Certificatedownload
Certificate chainshow step 83 of 232

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004854282497 --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":1100000004854282497},"decimal":true,"detail":2}}'