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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 #1100000004866774858 2,297 digits created 2023-10-24

Value

37459225968418041285961741589300960598840961686953246333811068743723240309829393015977504313244270719401893704217196740520628445152812652512751053776653264879379941923484146088769567601071541274612683684747580208424477705962468317993952154202689897723118500542036016063556958103113796578935830984407042100455176077681260595970403636983461238422972846746478441522916991351701078920831967502271376687584190161816541353917565862246168731974107702113560754127406410059760022505354025405745263366193789285425735709147740349256531178922503360586279653347786002575048108438243412421877365383157504347199751665206582728737765615631918080954692596965363918515715691237686679816970937468968730161832149108243143791025745357248796083071558088974396446385858611702605358251416847938363109236378265414536710899991521388411032739500630368559961495615476359565067244083096598381562805524158957846947266163687964778984931102842948862874533657542756333273562195306939027617490097606862753353811841358795566606031512812860209473890276015167729198033378433791766958957903350451419675535548176943136670712832930411198531203949321481254030267651101087926205284364576933412176628041523768092966967309397057632451080386427008154950738996007253490357932918501699847673026360050799338145938841873707175472420961721566263215987534299060567118390306443822920232451416403388321994987499728484093286086877573494515582134159873390081655262904500119624874639576308612982353134746660299337430440011443985623050970373849135701246377536104557228898925802563281480071120466033892643695670435204242954625028032251584138384754707234956796191281332123789746795789157067543128507245299823134422918288762913906810814917833372702517908312260361149977942795510509095879225977801441637034623600129938314854264028597098874322692027663566314827689352552121223696503541170160306644831720304124599992317171884316080112523293129125333131490769433801581823594585495987582070080252036400598922323937058933898520200747904412414882636291494259092404804535804002980876015020150274929798426278619541372915201631977846895155615044192054922847974188569850798086117509990972440079641346360693849003561485017629403839643854105836738751567583492030352508167393092397449372259660116864143813390679427265263071647357045790359292416996225119820407915433912753
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 2,747-digit prime (340 intermediate primes).

Certified number2,747-digit prime
Certificatedownload
Certificate chainshow step 46 of 340

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004866774858 --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":1100000004866774858},"decimal":true,"detail":2}}'