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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 #1100000009053828969 1,721 digits created 2026-08-07

Value

47557529927834357434593117753961914356197904190538873722989526059297323104517281319214812822944873159665414275626425732963190078904274643754608951343212859329509679914800551563347075011939645490468938868148722779431679258443612504692932658643332064577702634212823355455305364308596127526437308283569218264210066614462002695038889933330455729404833471851185590616286821638743869403353330550015934407497657631286237414950649908032945780147732598423436540433668236404181186759981189095303129107620583087997154616078701417222525127676605898881744087036718463564047744770618765062501336050837178587780977516564879831093673932782665100738120622908534025761418669469667915471504076970350349279099415863354848352062879604345839907136636302138672119459496320665530326267971508653679770375374816788479193716574959026662835426850947349621509095289282125274368793241325886503077485730246804119234078305485296287262649763054856829097571589044402141376721148765267409079195032405322379331012473033419128696962002263260275717172502293515885116568152957480738712554760454535587246098259736079403308279870021611189264208614344034009197409468207449607382383329783774335680800631907554855586839321174855817483283976555605338133953893906035428199446591956558021060209837630130224834235409634813720183436172080299892328936086983179658221382104355410687951588656270980756939024205273798015479909967125688427719354829088116147550740688319422805527309878589821526580572583736834710771648295877258812629597450695052902603118319203975090544418999171814625059432094876802523588222443147884265545209157583333013941574518876162347205853572853519313584395261200628397134161212206048335401717958523394143631860766960278787253261428867749957529592055111
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 2,577-digit prime (194 intermediate primes).

Certified number2,577-digit prime
Certificatedownload
Certificate chainshow step 69 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053828969 --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":1100000009053828969},"decimal":true,"detail":2}}'