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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 #1100000010596093291 2,669 digits created 2026-10-06

Value

45637739509501449718517256891312056669004980142522361875707674104268395562722325357559134977589338699736883731126632659452078686905608526340103461626129360543772832551975181989188792403468257988566007364039214704294488510262988803364029162445734543017460983350078387866562055491185354584147936701691131198609670847080140931895719455634308911333594672704301151111088381996446756017810093708745349030631841105007936718741519036594040014695942648886215804798728712486333599977721646218949634363788779322991278959733267172322281402881230913376444534342185672023044980807578857304069916704233781783707071594928206993516991871721409333219268642544155869097087891665873905050314790950419309306382979713546497500121428654319202646960995979343585775474759024042861483349190588402948088403439136308654542482412544339825346078281003177341774536102261539668546932317642924227862580588332546364250783295128792281190123199558695878986400354945121654907173299979923155181348058730236049509605143923278719465337715860163080806299797237517582512589524823588766853946821700327533318674340423453050699814906759550167140904737808019820045321808160290457939217272263536036444718735023514445990159359848212811918191295359062413283556844354032679315217401434200871154892790900846068701244517254114198714097549653997991564350263843741472911985478601948346528967098509897771224426552056882496500998084306252643978360458420553583678483085805583937293375763687263552705800765635515495016273372271450468995634905070894108897286691207759960140888787211655005074625220558390703012216964252366299709281272662086615346039672639626173863006765758337085260406135520300068639144388699474267174321089107474123717638914666823128384855518359122411606500746530904964329070736430452424803984090365883582982902387362882208564788048508508706026736795323154348541489265031282801809670756618984842801299652261060316504889596131404559682208852366931617940959328156118461307219316972956676646531149697502137735538512905485378243557093377726638521542135897307967002331692122543985565274838225230289036042236658097531733786086859608277090995058785443964835201408893258973757733385439201692733668322871847707604433692369059680908327127066177195551921911866998509785386033387132391197967755982944242060699908346716990984385142556118066389601328148184474792231268390159570331297789475072928047966569852366477946428903129099948763662283574714335545455127980840516706653695656787330375546103040584647165835808547931722470485309576891962274372929898241698745770701909900887906659084242680988165951464364332749264348072534119237155824959135624033553402821914703778050232214668120908582843223926700181367071525197508038804989
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 3,195-digit prime (231 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 41 of 231

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010596093291 --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":1100000010596093291},"decimal":true,"detail":2}}'