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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 #1100000007100334289 2,157 digits created 2024-05-23

Value

132544116782609996506881016823163512820794675035920652753199089730624761934289594723921453261073462780775094975567592875791531575275169804174038757176361546593091009360032869459299567871529948051042313953223421427228424771106362152448798127243907364686990516268065333524155795915538761475623873127556735824571465834839850601591335636331962046385776196495163815003979184856740201218789404597433441751181844267030884660414117142260787444706139232497053594551043350332351527474597852019557918386037667616047571597140300437386595985110894221866749689646964113618572322132628900098003795846578111242392841497260543897521853337172848428721451012499883597997209897985588606614534521202139150264332806777704952545409235789227886455246972152598310877944441910322678565738776054868824098925127585672377593777841875848239558072472383460935195293954790170421536777735347501907922370556003909612734954497559485504178591138294933536880586783906379265260152399208922309972325229577644806968684260231385515694775027166073109589949997301096658561787739266446898115255571757473796704547043661668812097338682532463090487816508889306539807643940596276214699623843519264421834436192639797510086976005619043995089756369553534808565387225159629649676402006671348527530255805759686170990257810163357086977443592552201798657271007542989146524400649413154754409759627160557966773449858396692365213947847760083726108897745908061924625761214872244890433238792474067999107686035809327733949874424369310721871025592844596855952774044511529397746407591679687778352665999425970155432464284662891617992888668997044177489360936353687831685979429238104833180548784771763173842519237193639840741538046123878808666191681106799483270533471346548692818625860224974734154698565814393324504123545848527078372422413348922079861576859699352809534088314715530478167623951883631545466667657976068723613005832181925553812452938497415230729860714023094897802461734655663053980868158705745180516857497347127443472454454370430634657785509520055050888634870601580829824949655633968913828046602547137290637738474135796890428190731851837246909475273538401531658617131614336108451626677771874969090904333503597
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 91 of the certificate chain of a 3,454-digit prime (223 intermediate primes).

Certified number3,454-digit prime
Certificatedownload
Certificate chainshow step 91 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007100334289 --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":1100000007100334289},"decimal":true,"detail":2}}'