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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 #1100000010596012456 2,048 digits created 2026-10-06

Value

51313936888347951878863281439175754423136236751506444175269242696579052274549975394846859859355891576325682193049427254926742648363098340843110243191358149090165636956633396575295158492820702131857272512436180293404901466087997445312630266853698206659571910920560375999133591683088057216336113136030555945690456013568167516083740571167934069747613920391473641356650510940082070393233957467519962594578104437047076753983105640277840748529963299356829613294648082781989806269040659444993921674673774159421474777330319645166509588695207220747720000100047153264448677435536863463770471456140476223274651425782330135862368294146232624423694620105317046813398045006580616586187736297390401771366742243082490153014438787955443701262178207364954027502816635961379550038028681701279028030489456337743066480468293294281754031560125319434551528395056161849119219164076131119871688627685691571456384515742005810959023409318386507720424424272470527415489690494217092838039934728283445694624546100206847756756177490760335155595354269789430419849133146141268651849633544716669720501764580697045060936703508984152826278803892289539759093999972987112861610045939692502012414837326891797181496153369212899958840906467683658060487481370899010879768472261336181574251119404441279726926251528385496244451014328757056377452729443428095318179657559616882358925138627072012352262864514158114404184291537983652680525590922849201233486394835475730181851721740326638217892453545516493390157036872921558069705325179062304122607231424163985226011713497531979363708906623886930219352632695188969301774058269858515367751128091455844073404496046529108842055982747509402030957185922651041730797355076037853962944157471640930182463028695810001718895067342780475352151173096108384808661061055470495039497897001755738816924939997016555557105573146706095516820318415047916725279032214678722350900847932298320448025166243578605060995642637763899837133239226918873233753995431471012682015891621313680728082322834627819765848210455874242445705725001389871626867630100727248418856854039171
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 3,200-digit prime (229 intermediate primes).

Certified number3,200-digit prime
Certificatedownload
Certificate chainshow step 83 of 229

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010596012456 --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":1100000010596012456},"decimal":true,"detail":2}}'