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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 #1100000007222400899 1,808 digits created 2024-07-08

Value

13001788712003004683721668047411796303048685863940792821892468237965860010758609580733332419615183506356268937602820202365134589035443576871493375053967347413668359583118127355568898937869324499261583979017372446186098584701786697011032985897638024003466817771138572306056209915400346226186404412919139218197555573066233917112800863574563220733709967518972083017688833704307689049997882299126170642999024628168272237064429889332989727659595067451768875380564053979071468412419521087933131519097411485054917294427079934192233092387066931630156176678580252337955661222458238022270938775304562328039564204037880691040098549176238691257672746745145868251816387697939529770595311436498532646898810387378685813543157030276350798449194153947796734248552553040158746219370422198117015525752148208873695833227615854841734373872111062056823745914623008845827987082059036661782672319367146428125154617970802473900710339853444422561871019188783915296006472702785865935752362503994409572776386469910362781358697209848653979261771707525766959029678283514827513900225032594594548919539370782646115969466243452418148314988758908808936441599313685049003327904284375945096122394632330898683249314149251984903981866191175134731635288738385497834805274785265888757065790020026427403883885447359719777265332993194109882545210241517861456254775226341185978485205787496355482063576584056199381136779732707927125447188845142230935999148506964976561731144118631551365640919521078563679664807496063818387024010115988007080199888028098948443505890081724422468576150355086055955737939271287641810685561074758266503122415530569313705831965002532791255021121318125211684199569536010649562225004489570383737190026684271440993371326174983948518620527974982958641801992166895272583012075932998278936570764637121027813162284460997994102705193
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 73 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400899 --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":1100000007222400899},"decimal":true,"detail":2}}'