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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 #1100000004815174625 5,016 digits created 2023-10-24

Value

618791262805681514524073986611641328571493286476027417273087774525050138399110869799849870916760149572961249439005078501292344356135166514669355403290106934647028426893645683452219074618403428765324090599486578670619944283241653025681887526565134465342059912582031218723090541038658452221226081087633697782362083756726513346010112714365181066915378517922362043254892914418039917432638342814654601978485244044568460028815731993434288183587993525496683564572556108373902509885861531592310105113772455062548015733793052694115514577735422089847537463503077646312585307503281175048562822976804165703948429702841540177128531181001289914126015541159137022453511230074704947705430745176680384980991499117086601143126479704614002095873982450554014233655115330297778111574990138090919095698374387656741213112459592238573879562179452523208683805793658794204503629941191240396983550094526614173894153608504626972321296714488183697849058538559759050421988709795409643351688218935261503786869115640585068824663559293340579989526999755130206891579042070466607602491470518532841482438358485230534550736113783090155593315270365851855824316685783071471204330513408267584711262562169848117731805582910482315476722569317366942136532335246008143921694829854034736216810145043158634411554997658805948840903188160213946720350758758341280894281223460959893400800941397913071394514087873995982683125700804065389821861140839061266560480894439283467630482299223878344312724997522129774727581827946191771650114195790432233759670412949512286043493602338420254128559533140101532245488681392529485004334122041830658073828666737776756891416584279011376426517567749393400593804376031542884877478369378417631195664742620401829986785443537223564076495460921768822406032065309270247421204510207282278476768952072685979314867985979430873073778289491080835259588283860829193385727204288831689149877980691014625551550307377498982934894199371288779671588735567318346706955840717274462673050348268857784741374884302255383270258908369448824776992099509841068824571355275347179331275449796967323660607204363735993377696567278362632950247783668118582960365320801308703198008984526751018044087231081007747626293183866906529612499846004555602499574846776569807125839720067060658762108512557280273905819852015570479414422513581075897587162651106934366576577338190534881552982493964321112073890770963212963969471755215934935059535147382754208141104404159470056022044249086483441429565660163599674289948924701466373948149820508997521466580770597899198999054016204273417317197492096429158752063289747682746902349660070658597028461631574239310202810577578881078031211706391616177919015935482127321387757694821439758486453964717634650877492711888060692109290596007803284853569764899925221833107753046878808273990631225917771866917658761332446028914755572809512861916433548373485850363748356237818486929007958371377096461845311216524891327745086108928659043738248416008040970943785630078815290710415045145735064626107751930589498947132495018770935978801753682096334729028594304215758914286717959706255191665842592481303643422843058709268067197820572334086397251808931127799777647879483111860746421980425316923345202331737441874314756983452206991059453895174202897480271437668583146251536692720938210730686105148243069717874147560539174821598390460192806410895938201833646049673964071377474684155136609309266299874531381166613044941216124973856944857085733230031849324559124888484401203305128984286516530156940795560838412082885777912782853878298295958391755549679383032485129704357288385854839113467410026779484816962320575436876569730750012868443177373913644069171145850852137499465513382140622797107314981123584506898374342338548447989667516712244520330889845759837789424195005155003173632058657640574841317428685964181284126518626706582775775696570089988385106864511870512542571210498125724369517463711276092330862250662934538920086892899549075180052890797552190586648684748927895349704989382119651021688284764753705944208469821459348501969459366950708369650482702746974881774152082189360792195543157891526935492085558973560157672194309309499878745701767974291509726312507970681199426519819105575274521504562440338956330732637342621693312494322566501957066286865431972183610725686073449997416649891357819099470795004799201415569061820738746104326935778838961401001869024328610233799716664042545152418749815978533605311717631821597157787233153594988051669618384782105682514406944552937916264418214145670955820563077103378560717227948802525120709173654283427363927869650455409116226324695001599373742908830212200625189668430035573319415331711137275379970179540208986349011173602606354320081028994654561053216958018175175714235249442595651145019364337422029660602855829475044391758570687569064198363414077707242799864843371841138107070225143341959450011435195536770126079785313221857475784245696920786745675300490741255954872995916793018917968872943113108844223877175941765888039632877198335764031312454553517799880890562874049900362836729661366386015077303283205801257
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 5,532-digit prime (569 intermediate primes).

Certified number5,532-digit prime
Certificatedownload
Certificate chainshow step 48 of 569

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815174625 --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":1100000004815174625},"decimal":true,"detail":2}}'