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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 #1100000008823081519 2,935 digits created 2026-05-23

Value

3687905371020050838481265148303372423547001306925845225378383534972967284690562861066697874044470938946533984796244716404951223170550402190615634950819729658096922275424567535035061511024699232646522408193380663394740516398729837567292359790278832319385039111420988088229181182919995404991810001260634079041262967425706394087209573058718270890936188401786455130626429452830378564711667018435981393986241875549236051458971542054349326916251970684937719205545839939846845598696417406162235963199591077177373057222745455647061632992596787678240762584887582158926818418252476508240913852222046468492580629511481088561110109848148237609077249057163558445286858568397439988884789881586266528507464352582352097320991515985615196561476978849290013279448756599549225667133679915225478078350152920925308516324037967578952509804242701041122891668401724125427799365743427709074405016465204739405038650518151019757418596262559669217753546867159441822262974499833959802599901943069292409679106715450581299505215954810179961235876927003810621091384837168064124677634924379047424954183384078646719629714368259208763138122839087328641743115074211376267870928198649041560922254535107913930261607115233847329418908280200030106387474689816170871850770622830983496179875143106870320215894726421702435698943726380968425409322464499723856020261261831004264639362659936571717996187242541631662417132048886360121001401690138100605341614564481183325678093717185838123263519589769941090766454196176658744636348507392553900236633542400642346485891100205418325695726661753080179524487313254780258738642742046736599173459505188385462158093756194071639772456796552963772785144018770108513308132507039406373882166081764594707780496615666980443664553965355913531702004813780784605682325210952394475250575642055538589945877399760202045115147422210480181642163253300081625756534507791153450781472728249107685222455531965021745090708014204425165403974885434547684817506066940323244563861034515403803590069122023427738590296995418817690063318888382003791112935255660334652969585596824344329712465916047464231877268637948724884585976827882360700980017113343319767462434022851399772115318541497487638489443939758284781383386844207486794380210182646004893789816840702110997886808774507072801610699653838915837498244987492595671593339445782407433029449473692015168921078925007356426592762740237942057425664419110140831688434969194331022736071174292507338481456775114612097251254653057219567770411643065535640080085797106085134582442102775161443408103486676871918176565049258221629559756953042742303124235783946672117693799943305794452741271576642930881603885358912207261912845573367438938765153853797078691289301178200589098568691801373712118168469359169879401688530794376064065769496123087730926121810025061482892330284140165635104108192691086470029503876087003288886991971766304200264732259080070335266666156943331420038485226643641562487282309144707505960889195697857301091
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 15 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823081519 --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":1100000008823081519},"decimal":true,"detail":2}}'