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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 #1100000004818347177 4,035 digits created 2023-10-24

Value

140172622275974579089060805857763053385123604099259066986397181701628154802817564009375284394827770877722395830893272614964616458484396225068912680444153947732393528677579876014095066893350656300566582908503179580893075953966008184372409627297325550211382642660637426131796022482622437726964110124367065804828060220287882114303956700412336203619962800737235146842531490228634849153217290346893549501415936527884147292328297904464349096230433398028754113506012030836024015327245054148413149995061079731183444319585528285790771888944337311223728466567405941520695800529664315047463298775598468721839595282412915125320246066347419056067658735907815524302284701575781809345721235152393845016284491768149840370612849978007242357489740860637097543577677974220342686460296652857913390995515886186769574575198401434670003243783440401835125230483996890000675478356963023520509132649902827897048893037326396338665319870516189377474414337799762690291681452363451274824344932612253403502318440539446992483589586994381837023896060931314412541315408133867315013447699589605539857411693686467729311042936283060997913222460409144575530402249085779985731113830123460656944799913699869141788843434532754421519381872683829463147593651799211373393656468075249540206222247115719694606905256257313862681845971955858671879613723173458451224785249671598478367843623507147320257236467852613233779282482232854323523876015400996046720300760767235712368117054509816713426211818832444878343538578531674190692966854249891191436439453172854141114436222827097684025288996680704113971162408864259913096970501539490861633576408664038701037589018294249280239676423990558984084738686284214364724919599501196771304657956075524244192996016010379514728083108491577675400057564562098862405698245461934341687347948721062198515573547406030729048560139782051070392796455466174370316928856984687478506347808721029489690441218506685920353716092963073037755770380773586408922244868571490305559998467366164139188554718840281617743744337482100642225687806544734706463585568239003362122567591155741722777053740133572949805256342861588767762129902516066382867364651111650550452422508641280463301256193665092464077080806913749959580648910982943437453223750176606570841547278232666126538122606896146683508558135797672181123962152964108049712145914244530867391419350742387487542210993277560079722526117827775546302364813255370542232385372296789363903672564803295387719733341867799087596837558196941535676216375543872271047103923922802947473183968710382328371083235992348136146096531450256653301128227049624310240355267376584674176348860713827700268954439884775324216854069327439516738485589687148278883003152654392366431924401803810812967969442880095617930151306861778045562672992774146828040417833723985122680227533003348883906435796270516228660390286914490649494633711823438567542623181016491971072916210909122503305738537699589352139631360960123266982386396348704272799548822458798123200397247413881311110394853783452911537375679752932121100840450346298095023684793367755245376837574282647690132643542962153761419291898939011449215914830487567028769997591104138072408053396056535421631773707490170505692672167854602645754564922608268606737762645030747789643128549681418518800185444612282679325677750605058876916246343516322295623708858027819911131140500038270719992247559696087505424752111070824795943585155765384414718548915628712014683311218940966807427789747370298025032881024223573528757334972792092425133875798158004611196727918967315475824463104300374199850905790245273306127625566556096304179079712373030499776547641736015042577493020747895194519041005582422928362626449154186112852973755098086529163936988399959834089106232852834245996411549537555233282785966047631928556485841603386216297547963970313105445980894607578247565280182008210062165203883560809153177814150562043439110087949649622791561260424705367959559028265949542087092318232560205613022960856232475335599601091182954228716710922127210962699095318053705838336577702536026347340414261363180952848969813737783242321
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 5,103-digit prime (522 intermediate primes).

Certified number5,103-digit prime
Certificatedownload
Certificate chainshow step 100 of 522

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004818347177 --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":1100000004818347177},"decimal":true,"detail":2}}'