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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 #1100000005814643341 4,192 digits created 2024-01-27

Value

1768736656612041091386365975718114466043133861260275993313117883342050022696612237511678082748137138003415690256133393925199918982716609659041929009095663479658932334891940489869288745409985104794572256097837761002905217389331264723703734808029375828322750672821274364052943198700469238128757822528761789456640861535669613809942310700465234367519036957063031250369703058538119019319469751313941093294565557216652261662556681220731673955390906494560339839945342142800432876596826692769661782856880721663103195930282649591578227434573954859446160996596002072295413550309725567096102891115613994940431045504473778413525901580955320220653508819776615464006107080032708621623569627406302889355744318525109851340115599530971119794785680332717473284601936159511507842160333557702795566307592744468336384042440501198469923714986467801507536485479809745508619061094327308052787712646565752264677530531936568980733707568834927139430287590998319897097237573569046191994848074478611133242329615953875581165199194009249313216340369029930898080379832102477517422111077737475693305980058116973891101332563533925792092965492445304134966445733850022665843138533850250606058113224318043710937782367959722898308721613423050435787723036125724670989023261010066508872914974459855110272988130449236836410424027683019632454526194813781760313221563023139225986389861985435080275231704268888435261638588086623916732364396277270289913550035894016396208484946567418744812761993576792513961801410600404817356669631495641559068894732079781141370074439541917615707910310928873388444628489508573112037029352655861451147539018974602967386766733067439599007937230088885564392158451109404916595505033059773626527355817485902076890679528313782089632538698559999465008834818873414870453996049775644782872051008427538328666897761718619319636596118875554941738158741959646629703068234818251299493243432792683028411590921136642725138481350915955671934815703845968917447547096894611994630515097705470286633589940055056510007978987258782901035600171627450258510184755637580142805113299276845568589725999141941147011502264927924807244428497585875728188495553735109086228812281264076671979599696361123408466474379151240750254690002095920746867446035484828050504217906738447605715016105283385346831491889849371733624870632850288226223292706742501395654368762272297765707603031579461715672090030585756877038610285184987521510217626626084730946318526186782337803373076802326961501367175758405960308117074699087950657557381449313705384501782384132126911351940461484426330119654858248386221772020677907135450570033034240222475774349747488010346854350989841532749298950206084207982537312775431998319496739922675770718230514926983083802889411176518100744947984833971750735253703936565838015803389221460829965750237704102282909540336695227957564951487356061307269739711620505298009841899235243275998865429887543550836013608028189636325823932736333546511070512291552167741677278210252967028447318521079919036016602446627905188814937237257534754628665914101742178701021008255863802703699485111589030413434305248766341255050786323793028488650255201950936531464519266129683232101867843054940362267130901140074061993459274292726711481944797829506841908564145696869736970064417485790269723612791316415270622288868590869778294544533707627578042958016615999857980867573342008421614553148044089680309583853734588204097495537257291722887513060513876198490194871377699925407128026972316614083518005125748208359246361003516964406694118052115323954720155528073133434646538874698879489806643108906842851997503479114818681496999340136276462491885734026403053160725335644813442370254634856231903041429847161167672098485905767912186855534977525147593898563250293283206414562394919750330302434251036216966255186133505403453570266590520263116099689427718502279628916845100160326588973904982092801552988663765852255664349131295284948464731967671819650843229078340408259411563926799350156922837182987705828886470824255100133761420781418774416298795415895979147073389380725071207628960354264604180227947405569558934985329364026107056678125583173651899743601567595048309780358910526059571644169358362687519405877209920382847277982882234013653701265457559487091618461
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 16 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643341 --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":1100000005814643341},"decimal":true,"detail":2}}'