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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 #1100000004912872071 1,900 digits created 2023-10-25

Value

3539294266570996627778113442864758460895649347252759822593119575562588700912815402156435066021429931122791608774416424637403924252653001216909958303283695335378716429054967616994207961481442671150720251386582085374443445742921121018539536532634539518924811801110970741918540578358060619383982158187988423232445178134575561789734458038005851382452986029562708115862846794607796007750349961756158036440770393682885715359693206237767304950987953896459394555938788690656939743891042458205753036844502920020322230983104396109852422597324555618480163744406823655307204561929815722871391322557967236704392050674476567923218665777535947689809052906509724502917575691923889649095225854876271196269755935572770093910358405936201740949644444609165695565747322454479182937781854759190708782201808482781358901355341544564917072419196112276922526798159449861334649530844368656732023655839424635016168809421840243962966616284872889863464765303042209078951233332005396940809313391698260518946242755552581387666933143479851789816758206236100688851278996948385438825126518511954845283172436572466986154619299061654932991186668579740123926162507382151167640980442467939134193773670121488601330155119114884211137007797537281227262343168793559153827801606680654396299267181195048774202341846083868494673126720696237822987076697940185227526637875349793763716889599226628506850507578621017464575558198817913117661113510112455714824218681946231072403970967297562650322513080431191407624114819244683711038854262880053533300038052884564368172526351435550075491705562112456405589449783406338190956305539277119338347514865304975521091905037387358325712901478886914827797645779724318629658664985002010276863799617199983204830165777291547797406031359519665171816609400395206670944524104036543338751074651081953505960266479014523597560956436496516413936063588745969620679666064886574528974707500786084202821453979400390856984354009
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 2,000-digit prime (266 intermediate primes).

Certified number2,000-digit prime
Certificatedownload
Certificate chainshow step 14 of 266

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912872071 --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":1100000004912872071},"decimal":true,"detail":2}}'