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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 #1100000009054216656 1,910 digits created 2026-08-07

Value

30634465090589160245890726383779198485506663674842890600829242034938011289776367026750052040477741012855458446697769936399148515080211559038268904639262989518507588757353079731914407477940895641666669896010740982587554656205123038071375340016851310341561934709956088966954524085363448983098520542853326051417000389495955480781042187418385855317904838686777262204837789078879942971944137069558428119602436399375190435932953898857896479399584079729048496709540021301672797915192946949324561846534730416965705008431259712551458117930441619779889584833214915904346414133161808252860952546554716622938367664155169767909978590262752604410869597570889544025337704914817083311654678155977305908103654843505815784744134135650420509489754750772489854505881294504799482985280864240949270163884680123087461566280233872762081551485241990411340208636231614112310584238522031816599060423015819726972753132492202612635932617197806940462436104792560022919230310806151272508335443956287463375991297192741091083025772696238225880096035799573129650272375849095158709034058219141140561856900111164284071903597145947245470209203648916161255293984965431627670245679718881894494111861723928541164257602503802870168314449427451185124909629781628114342622451251076360613537528510234981793762209604583321819336459394219807645992625263743304738240314731137417113703622037102578546287478592514047302471245376368895545832035648824390183333268101919231864027105377789348927424044166445745385069068969059860086141301888887270421105562656644335731439675721493788930079183162461950380089187398516118674415196961024144383537341899708748160805070816139329746609375330973375210252073039100709950778241048209790302891480003292646794483331607596089557627738469986941062183559201969504382507831805465223302394778629085212774409658372187676049215776186571303845390621419769702886156623736118743634417245418360926841516940310115112158009426307721756283
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 2,214-digit prime (176 intermediate primes).

Certified number2,214-digit prime
Certificatedownload
Certificate chainshow step 26 of 176

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054216656 --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":1100000009054216656},"decimal":true,"detail":2}}'