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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 #1100000009017777013 2,409 digits created 2026-07-29

Value

174480489252358688891226086293590252305120121793999191291676592589680614148099261407531324563804030198086735229799969130599956846684959537627192691525352023246039806269931828199510206448755135601194439968283571022732252655284912869651911857599447877970350344210651802607105662113859244224965962269854798226192946315948269663570902953925505307602267158075909852200521108903164953617368106091231675293080781095061029999640029824588803051399089488821334750463758830117131423772694184610967332094057008563903803049238683423105872361771340923159056644005106692585153831847980156483092949898482329069980307794206941192714365744633718258516991262445402074773164144103729967703514487912883622834486036763604337617786083171341679204267370948391842626589578138810950768720888038621285569365642808914759335984449062778806943863057132768160016262272611589430149729303598053789001102323242211179345054508691820739227124599810025262528677741861046228255529129028779104630483200621929979784834766986163252087079181163635436518273421948991927572143116994057096746732472116735184257085383444516904239736295878972331273686811591298874798226353047051597396555808005564031952179313925357060759964035441780469286548525624650511873706568376709210788384738629485467193736111037693375125771967701468247786678166815251406184247723694026930378718914214832978703210305840012639948797524934470524702056038945294336403510219878666304326537319796637620733409668543066110666994950363751224327681549971007852581733947146964068573870007694247101580984942178020398696207181653919757739101639513165119936683118445722580156868984248226448009904583204711342817279380772337721107214633328424272794444195873564862940344298322265514900442229561242145729317666285507519069822462626123026381844188078482396971219509786029868075432607970109896073107792587128474136020101091799261248812816719694172802783558084818816022457681921468248655714046451628346886551558303380452360368495993463332641964988360466308046660658234956921721998980582710480136794339354982000959587338808544869132307998612175512253629795500288904304042864209511215736461230597907319106888299139283404788028286461102569089121629826800491873501270566045987758057418678314111804223137182595377129543072084656442600327805367243809980867353919495588711745786569866824680007139380161300177560474911939124162605847013542518144724334036428131907449624440022904628982163196110570295971202286119
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,710-digit prime (203 intermediate primes).

Certified number2,710-digit prime
Certificatedownload
Certificate chainshow step 25 of 203

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009017777013 --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":1100000009017777013},"decimal":true,"detail":2}}'