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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 #1100000009015272575 1,996 digits created 2026-07-29

Value

2259306011347144811941331669087261523728996226928098843099296289228329612164074016288928346508362940198070548790031374541910056892102425427198633076699097436016734769244922187856634856266730031455208980641698643594880336546851708056979305805402595574581987212286885769696013964097217158390272308913908693645015866441302093043277383958565232242688696436086131274114305165705588867051266318263344998923530235444661534813104369201419587636595754327325650270731895280372088892148689721665222460750607249778047506773909323355640836157726608482555257678170035077890925270223916675799674960440968135008727567872120753782641495476808796537623427203675920152978299699065331005261235485351291888542464897181561685456114106243535800171208216263708190212807119101271506559537888456050862955965507984268576967623059927653259285918188772416470751717932541667076587759747514562664694166376668762037198207612106767354126002019191764625163832093511175353363392688548465670005636686772036040393867347633121388026735397206125836142171785903533830244543453081102427495016985231815107944327323127419118876904298107795303930435968951709013547743926644476305404365487077316193942449347455463916332125495798957120624019610716177254285781954602282527768931261108803149742782046852224999184609481079549204488215753534138786993589276765411014251566222653160688643014856418544950170395539583938643213905992961213583853772431103753577476352635504904517030510791418210870741934458714930751132935346513598194205527506922969992421431835188177834890083806439445649818037326452898130888610884140862579898328749514275461762411994619264645911765568362717071503492934324600344158683994879886492394448593645913856457126538057354062353051526503415301233076815995472590326032309555936623450126552578360552146898266379351541861288463127103556008001986124700897224591931602595083364777836139070562113206027153428727150808888678348428109397436740892956611115732642788360260517469308407152073687206469597596463359947100098392755405753920703
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 2,703-digit prime (190 intermediate primes).

Certified number2,703-digit prime
Certificatedownload
Certificate chainshow step 53 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009015272575 --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":1100000009015272575},"decimal":true,"detail":2}}'