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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 #1100000004874749009 2,309 digits created 2023-10-25

Value

44342206550994225591353723978098890063973704803636566795764843881782220210719008442653810365890718453322845767870978817519297100902856487519052641499195757448337647063060378997518963091371895571729577042610119017995238112684668901530564274746348573416714285434589061388780974678027789502600447242410607108401539404185023275771209464554449900290243474717686919782560754435288038069048104650060841821225062449610531795597233901987661501098591873443955739424368510380615830287890606966785269033803389587920192852414891046382485501555801877746829724185688750350485785353415163422084620687725672252204221744270161662059205349657927377448934226266903249206007922847483551128270499424997091147071717396597631245845385606669285127934041381529299487146408545236903070772497661980967914387073373689914141895392306725636805175050288619603331635311745969311601866878651051281755441894318010513756204596066430548716094722180026476704014362191570538820555390498858917579117784227785459804362392305522855057602799541002816635098038718378083653463966273140442452105775872584570805359094034813784234980429396400929820759263693873498500933956076196071485869909247751457038073670351692852475011835848509648791332136076452368847188142409784403458663267795647059734991830144639196422776855973363695632011795127620259615667459784255511071070238577692142457634473259418613515048945972360932839786087798535886319571403986333909047788907611135625634782396620110621763305642549754772315524599599218466436788743055272881742590744391168164669164572217645868154717596862398425393581455376255427696553335479220331486225869992928699730294664852200139430154412507366074225644237909605405456307355239649514486637123652796555831236440730660008085811994055453851282768638351108985420467567466038738256386070588661441265044982538013684002120654226467746882958183324282043183821064179318726137340645302508095357550372357274082016181000076457162032888229974338250321920692359048227484370781456095135220081095179295545917271156601003886723277825197159017624360482100993883510915098487946859628394381955900562543815428396691655989617715855844800381081664148602054573003537012562316126955044737394760157751806956853653622408372856625842511371829691962841279913574454234702855179577804686726473472851433274146127240351770432488406294213498713221763719
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,510-digit prime (346 intermediate primes).

Certified number2,510-digit prime
Certificatedownload
Certificate chainshow step 21 of 346

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004874749009 --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":1100000004874749009},"decimal":true,"detail":2}}'