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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 #1100000009078768174 1,717 digits created 2026-08-12

Value

3595128058468646346984178219135884150766866636403242465305971424039203473048114475053330968446196801590247560448820482372222251106333568487985653688260761318892080133650075488266790943455772871893045677590740992315565483814600694067581308296211805441987947756090333216040555485435477198716023831425174172276353452842442570577296597589481754397487502480524357351139862677545614755260156612156003794438591870273803338538506651745537800463039873964315767430737662825040770768284951798589283614949995512299599667690504832389283396045807090358395198416901626500786612803782174526191223938361032393228216528362020419036948571742654503169890617795503003177805625449805970347948459218294233567739697304227579708699167147851268490203114638880602526256421396634100532624055268985178448085092268912155514800043466903979255579140309815304212746935632245434414714982453865911727649728861733923199580573866448402831743634009357104679518960242075113844427138990634508420040269754194733232357225875431973682325852848419583244395538746520659314576642836150723994484976240977224298046924006277427225912172360458997372973424303464082839347526076095492895360567180649017555210586270756959548633556061027512698080686252946253921057595999867887274211731764668044283184600748547263610504053123570293546726661270470530789531637180528473003172438913549626148321102590989817330741277316036148185681194393765504064321879361544244239673423681289003634692523541529597310805704720446758831156924197497624646124206148191198862938111977620571034603644117363518257040379472587241127129655978264170545153242635333014902064779740137478900338022535644247276245609147247339863335825267288136764084611408685543256782434604244354294501561919209390193343199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,153-digit prime (152 intermediate primes).

Certified number2,153-digit prime
Certificatedownload
Certificate chainshow step 35 of 152

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078768174 --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":1100000009078768174},"decimal":true,"detail":2}}'