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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 #1100000009075278966 2,474 digits created 2026-08-11

Value

78164080411694122681738819639177388616875106364658310898866849512575541336317595307428559377909543189014324071705031675084567183662943624632682293170380287965576605627108138029254026782133728240034183329566645065130954245784456923152005304199940567047751875370215782601174988944576572242067860040194490188236719993517778644646762437636580048503629971637840670720221381842583420537902712610347210233536806783224299015547374675735328538822413803414899199577394833207263244664510775740787467173249191814679132987463615043573590493224985567232854736470336860682489348510062847224865669846356211514184669940111293293198972505428644458666299034036509441826595138890366964125618363419005249722341208286506834891066708340328283142416600298301773381933326430568340109350625527083556354426244492488716395563723119560776461314484282808538945290759488152929002251573371759443275084758607617377485651850929195720379476188516782092890376620773258100636807518760918884426947224042655226943990851207359329209660882314731941101168161526807343234771454328369873904785068559200988487100387150013126800727829101540873771392095907141704290341718710678653587682524690334891346805484885049460919494137398405814351856377120831658850757306059643516197154553758394180363114566201302021484686859609765601517127006612559304683371047086190217381729584385745016314441789150174847977410271618808522574740964811337357198511543938754135767353143520405270241114168384784722141628739105042971389394719737589126944963862466497968375189495666891255240053252356048478157640288482124742581505920501477123716569592584295180204016748414193262081338371697613399004138790019814541893273424500523157126761941734559732720089515772001296165689707253408945156514844019930369600749222165731021193131140737839355828875669873116010948823239585991452240315833209334633546324886225780525108386432337398979246338751919618742705100389987474380705091404731218405673600947930050858685026507548762103908821936015097240663875096774584612303636149906104234816215671519696749233918402186591254341467231205740449381337458479313100349941845160954235777234613963602157170010840308212420210084145497844080727313978088824022725821575168025864870000750740194503959591565882281754115624992484236116167799788627670373995528708954516855768442740437118046736220113316422489793645773672566045755854132509340246931875779214627466162309488236678244100674358384325339855601874669086773420214585777856193183123860381048249331554765603366733428383139
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,656-digit prime (204 intermediate primes).

Certified number2,656-digit prime
Certificatedownload
Certificate chainshow step 15 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075278966 --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":1100000009075278966},"decimal":true,"detail":2}}'