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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 #1100000008678589291 2,022 digits created 2026-03-11

Value

264885951974973993471499161340062295040389357803416758002435256316490942269914443874386011621563905895916432422124497583625692207999221513640041077402227646733992397804574903051924154687112640782964758733003043394509724498697069062817903122812651235101966852095110568375771654108558537803691032888020622344973592730664389645054698203352341906311609614204151953281179987364940323388054439403287784202082998437490925284588784965589682123679042907624563583589934371062902293440143353457799978341986117815290005374263547324430295254516731068248578039563098658354039850887757019010660397820673358752621627016000878004390379164245566313496814481847399693859348400863118946424443493448512012240315700021879629762520773953532721413888937567477215810261775763235829256842561178829202929516436974068118521078109330096711443648408612359917596410867607596505609652670506561035057597997869589874125415961229951619051545204145854226186761786647269161659453328271381926848248767461417290751428647546640425119839518789119766441508522113162977156830445312467002274548601332599084943448560620782029723519361181834439564265493610926438692508318747377987175732765644068539766844449111709008471975758190628850851870703385994751334809355204013574104795600102453627840174408246806434917320109693317718028544610297316100217523720764717858801617005367606991881480331994929949826672080298884694440644370565433179019905282430574425676177132077636922475145419328645053956188107599348173074463996715920122677646798278273948873399283128902236010226178592012611352766414649620895875253059197288163539071606975102773897767789613847616023556051673113215012839930220503043644880295725610557416685472627555391644390628396179882384510371833916480220446927478372902936417893108125603479488068208826768082386715924176413258731994170142588658289863694487642645097624896746872324543130570856867946084326261413172043747240432019266111798832124424825964866429795616268566837212417190568897732561996484553254499096130970716892634047446568247990630518702195871408293
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,464-digit prime (171 intermediate primes).

Certified number2,464-digit prime
Certificatedownload
Certificate chainshow step 33 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678589291 --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":1100000008678589291},"decimal":true,"detail":2}}'