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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 #1100000007222400869 2,042 digits created 2024-07-08

Value

49584766231099236724637827706987959606047198216218810131448690917489029664447430010540006950325855486071655427681357197988300966503446864826732785255129151941639562705729004933691622927397052653111930065013169877773050924991238944314884462010808839583917650224977614753726492940169117632191099918385787002397452204325108940000874322324733831063596209831920071592814114822138927881106181526066804404576895166144198149326863341406663291811243986214674282224364254342061085502773185756363239006555616729676874246728336493487882351113626202124940879023131353468829278153893056665955076220359502474861182332173221162173713271379166533697698987183402396912187082091024970006186387329091146680337894918611624818953042387359971394538586230890263251576080053929360871645465632634616351295406452972766652601733398767141838440433736858163282262668153022510506826788356276692838363338117969354388371705988424600025232496135293962502637396451172043047530621845927111186876417555265669220032957511258504839034569522333148476364615917818095522305756036721076034810049757871531361363361647375695156977832333254909104194809174346039251135108011568233231472723859701826516329437408416471834272218449277106756356794484960749420347744215581037013587078136529724797874554824661334212830213191741986603680202261210980151153722960563496198915209065949628184177857593906797431210035363810236934655480798307385856650542457839292253144331788042730155294495519124039465024145965268383016301845644429460617676567989383247511817668269357981341044411374229231573881623975597606378930032264739396683973316808175987837863586996575296663899871467346632249497183510846407108710667308788527109740154271141007127112133437489670289845340501419525945140356233577250386122914243728898041600298438181117582853387448470022765175134860475173083482475522062580191599237757331673384684980473144184456677709493904762447864708382339796559835166841966034920027024718727249615293355968847842538119587129610872434451819569590904044453800391869546085414881288061383960161666574989882178712459
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 53 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400869 --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":1100000007222400869},"decimal":true,"detail":2}}'