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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 #1100000009063857307 2,085 digits created 2026-08-09

Value

346441048640434096207004145487227159024041989127672782666968036643635075597389679387067146892315864862778706703010393867523255717819689460902938679031900063768841190106772057178344514844603759767522026306606548497149817456649392170010987397045474627691234384253430138352304583634294265018827076361461931173252400402280228251812202237082401436978820634460489158839600940802493548358232519969406309521648311176244245361393992029588150104042657834059277552313127065380131226952352763972875309242831724804674649033630905286947997031674747875899989039090689241690557471352361850123783042601601031288933500340409386373886694418199995236253921985162942583231081372011090135820800991505463849248744675374424187649482875232453766048075410321177182363920251591912122500978865202774859486988067311529513940060264621558845943070915603852304646683886339307948165999138702939764027721229343615558557587101197330970824168589660817766371590136091295127823186937727271427349681620298974691741572379338465149997602545041816350878049154404978807334690005602637566702579920167765992265074753627126051763463943872540193828741282995522268412242457860162886623084648308492511134462932689566346887641278152157864800018408262062529015608500865028832000185306677879768484881499632704258585576986143698287252039232137630637879764338482073006467306925614454132948368867641661525826938719512544902333793771440100745616901844400271994084939151521600219877035863542983032890779919199601105885650732047105798268735918214067810799480575201978948097288719503347066350212502207515068183495842699393611076865340777723382839616634255371582571480212264551010468960497468534280523474804248169369648380628392104815831031005917444930886004920694985005228693528984955175416754239291240781391721875355279433875774204128293294685882991059914065188151074281973811955263081835087066543610909198113685712642403981278770863526422820671827747767981636580315288387165855247106972701909232672862162332590805399961535780665490353527028935031907173469627639103659453928446535583949403596674114036152467585545009516411600174572702124399741
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,571-digit prime (190 intermediate primes).

Certified number2,571-digit prime
Certificatedownload
Certificate chainshow step 39 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009063857307 --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":1100000009063857307},"decimal":true,"detail":2}}'