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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 #1100000004854695115 2,933 digits created 2023-10-24

Value

20854970555271995931105409454528512895380278627800391391633939330978937378839368720794970018611224478926215413562639427338490680997398971057929165015298890966559025097317396751222370691890232505500671337891877947035093538886138381271474292752166573277099846043784296682170365272033278222550967463245272078200250873884797471566244651478911309266223653872257542650278624327431930819902000840861756361722397777251027889959783007839688654610889132404776662270526841700195589396098469972536432699878299321720151088027853027162051455597758845110141959911835892169604983584989042874373879851817045483442679313629914167734210513974031482213719896956166752401726989335887267972977190009567911099113883845637055263953277929122368255578151164402210675875027028133270580877232696654661863350585146161115507242176500294048999933583083142684515535248271258343705437801739155580430861114242975086609502737298435839950750829521008336462845628747851625747781585442769435152708710626730456363867004034992452997870707735249117453150471103584070460229638093468907510154001625062126745084517995534296817725504381937495101158782392673760614117793226081708131962593775360021157956932081478660732976832230892131308155088898563306277564737893820146178516261179531443526246866171422343041543808858626921648562454322974248490447527090781052874883848563263400168435678802726112884223027322079039758927329498962868408515684479039117726288627644732960548500779932462305856833619839490455848018016908035365226767861974132236292131283207559437987891043189913071502047053654957676460434524104569996643841805173195773059678662215099940237522846993897578622866604329237667837159898586221978760022675625367940198334016072169085211259261070358768434406115921411760630147812657841991729845312733022746126902798351368904008091204223155729306370940284011505565938160143550803727102635933003879759009075551625919817833664163409993530002844841887569691867621440546500796315410503877173323552239627878946072822623441591775871418070078409258490918923635769242615537897536042089510054566373018012435067704356321864755025043220682287653015364096518414181945806282773766064681932311781827777067612729322985776023260830332174178838634060689308807488074413973036595789271736491278671182596065138302688950150536951580796906513409060519747555184245702826076751947584554454854129638496903284577817351306785055633561289805973905993363802688236949170126065055248474514283419562401251058376795820497569208590973562409215348895280599899054191617632586095623988056885655429013578135793668144970154010376664936971460849947975721888896668748229651231307311307224576936184880060222666955892047492114222357347072016257096305062488074201630790838383855559273365560203347350624583396976760114022498752715007515425317740117249429005387117820383900350791496717449495363828265402830827718849169970791994750047649762384470224124473974040005165186117283882357632281002659292626067080295967107412534033
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 3,070-digit prime (332 intermediate primes).

Certified number3,070-digit prime
Certificatedownload
Certificate chainshow step 15 of 332

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004854695115 --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":1100000004854695115},"decimal":true,"detail":2}}'