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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 #1100000004852663413 2,933 digits created 2023-10-24

Value

39110769933743678495488307291630719241182400369110126508138308084346865367521805897626321668540471371317908680189888055866098376876413596466677068047138220430100282554023415439092123148838200470025728329071435930510815647202466722495317268174650795017021664234335096308905072176204819034923476399333129675444690641018956427962169356969384783588286358582039769592424559057104588860001694467759034147142127574953357910299934569157618202264636235991708283255460573314348338365440847770088743743260008486500020031625620138638122790632426912906430563143104058033387688262675597449203296759560578970888168370638599999307386548434842195943084414274668926717350424121846622700791066844682461067377899789538121215558333902648112860716232886204427781877319573389001212442646627017809033842264476917477464561781317537657084105378589621749773449264752704977365555831632483670190147312033036634616565949274498378043315798584935616881942698459818153565587666681473812898791069132857009170629298328206069434951615383500661593795140563939305478166589712014168138109106073143927445475156635748871637511397163169616592211497024749893033094443084488059333471046039785614156422208639392157113199228216023719365718521655389464950161019061708112705006857553492609613157589941819529885960302133974560998835093096506171680138987123312370938908954116292136192937232455084098578064730645608076485425856409816007446240265713715672405633727938767313554289338684850669828538402425970193090991217114539911068242224799447210351271431459759080319298556227699261971047917721061000612287359727186609422411147565016985730869265796252098391132985245559923213546452561927188424060570096222594044416078072810690446870580977326117882867973593407465484648071502880285847866006351068858442855165395357447062371864531364805424177412631566184426282579990028091603793442916238675225190355380676243119473824019017511150125933611826345923972086545985311447564392058055551118000913780156975371033405233550985985780149449593433599926498454305163098626786672358097280184808183308825659412022951204902083176593157762944817122663969033309624939677511786140236626663386554779197926843360919936259427801106651541757083294750159486490289522741990527991953434281712118509719877563659523786647040807553875207352590152852205529949693102813194574151990488903941320906121363075844151195565719983546636100280236457058477189834427388939130251603297871177215773543442824843316483203514487581366452324364604213568685415087489127837586521294303252098320612528701064385003776891442175612564406047425339226776005638109766107573370099346313180310256815605002631932744719203306273080979318396563012096971862940946085116216492975824639934323050217623421613018008006530038549535649404545900794531463329990922674025133554817728958036393559961509392296452724258718897842371575138618602802874265189688453555495157854124981571455502651944883729306778684667053589052534497570969682104665935458592035586361543
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 3,144-digit prime (334 intermediate primes).

Certified number3,144-digit prime
Certificatedownload
Certificate chainshow step 21 of 334

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852663413 --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":1100000004852663413},"decimal":true,"detail":2}}'