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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 #1100000009075279022 2,067 digits created 2026-08-11

Value

641662313816701759691527912182163379055089661977221706480229359618591631786236087566480923860432972455060910169451662385598116999723473077222850849794505916493469119015745694049342562833282078105427607595422933851889706130606985002211983091537028743243281672033858843207345610179514541180142836900280309595505783134282337467488207898567374191868086943749140150353095094863265520660875480161307399558543495622364978066833129958443155484442172676469499172876742873996515223270927911927241190206267459727764484854526694896900326235899935713093683319961196133621258481704945355459357912892523979679413031467770060841407126088723456460374251696652322485962619514212021776758349302148552950298701954407889654199116325433929381519135038629422528471473344775305786582025880353242923184735338246980254179304776697914965515183858560394507761484414292868758790167543678192662835902685310574787594545775149352283330028617258256600320295707109796714861123387577066920178579249849011314322886419279155042904356625809884802111359382781125892492527007287306015115808581342611785809893974464700420642621863870603262566163627778143406421359586383175860824626151168779673419282722395719584727407894551408583448451237023515371357600239615367079701297628735671948099604923907951692850109556546708390730231025072868825511475568387480736894099436136699453156000947498841273067704022032301716951992757686524679078349307264997583157474526658276122676725816850839115178764267744663197382548945753445887875644321432224117853884363546717949520385644220164564242030940414828504310192291666383083331120876606006847382660121954887537972943183213609725056755625655868417398149418152406590617856707399232406292702055593610261193740784494383763895416552606063511342181921603670906401950225847714973951591422167394160593282102506766481539833005106847177247756814138020248960525618819444186898975585980869749809703288325598237848837224214154915485335912595902405284070307125232166017110635589439549508769353182395475352296450497193485451193275043010887372036076058226679550435298500589364012148923355811
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,656-digit prime (204 intermediate primes).

Certified number2,656-digit prime
Certificatedownload
Certificate chainshow step 47 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075279022 --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":1100000009075279022},"decimal":true,"detail":2}}'