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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 #1100000005814611403 2,920 digits created 2024-01-27

Value

1222311170663756255992965911011977180666745193851649967882642741562406860907861769705137734495983563635766254796239255419552334305907821819930045453063582010203965256009486117239239757021515006374282312558581852682470851803410212972550572224646207448181406609522537060784763038729981415903933787706171324647250320981766805425878912343094608506777449147306351766881207487782891890361966658993006776378592254500389393325860091559832204205129071775674556808247507913781684280052514170325168523015996400186363314513876002697229923396351500308190878011868510425869635787440903814532485656423674604318345809935762879167422022740042748214246670027882787162871366347101402155630100094497021986963429266452671886864142597360429182572907676120628065661450665261264405891720887018972480662339772983870634038445013387689582182862340276335529757914538543563422604772578606012255671758701228039027982632527396887819214014724122054853504997114482206179132002662090161872595946740559158460253697402545538010661416718349802642969452063205501675598799482433588158882315140967873400887444180230934342897420600607519289598803193546473342480850661744616214385072836953381917113213044663456929694877952079969149311997968849522288787187594803703299393013868073720236579141870141768456009295866774635847404342039362026776086803870241823967460678285662385548076897386513297974893352340681421374285191900844787609490177881166648039261177163043911399451034029173330244398001826353922791970729308872649942820500534440825801325984133661481398169184955209184275689489289082541643610277998910122978442188524516044636232168836215608636579518786231900348570845174065913294721817836525502621116802856389388908701836929458329317540531470013502788758878804533610046197812407437809747862527408540176074183618219145687071159581823767730112694012258639634477853004533563221620817386414582310379518453426969093432077484276033574651172510350493325762125172539039892664158051909589450096284611084347610813587501238918024711412187030196836758486828172887321735018899148844725539603026224996402267297477093481176676403742221986755629309141631268363433741772935046696031721006422202699877330288318838009130688265960014775140146763213952185315696009928411726990281900921041730568979499072662188645012204148706341109017426014509753570490164379836404990346305995715292231185869859055914899946010528047091001779580075622199842690410251145600519091472392324552142251301047097892918064926209205382105464551765130460860259966683722566671675001370849582533503423032576760192191643561490125987981358698458900110478850741335767278762031908081368857050270353646244983978662293670852660853207616321252041578239413702462593450982369629960184552661184899332094827341134338009535788256871132999973084641467817011922879121222370351554733118424445870487343551759500610301074911790283844016104334555427254216360204884666793887983499437108968616356233306384621443797963902907247801237
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 3,798-digit prime (226 intermediate primes).

Certified number3,798-digit prime
Certificatedownload
Certificate chainshow step 65 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814611403 --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":1100000005814611403},"decimal":true,"detail":2}}'