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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 #1100000004817606643 4,498 digits created 2023-10-24

Value

1308139864643598292879429233044059817674219574674394362867924189415433626813792007106993522526374373892940663235898213945526584105426581369559255800796699607418044523722916787320145397202370032187065009354228809143326914848565581657764227641678542611588181293182486191604254280023786378853557925545823253786769401328902560103043144934348017860685769416371527639558469215924726015884599682492571189707684238691121126013082822693238690276997111731386445345060218579597143491396109422224552312492181527164207398573954897974354955377022259573862267431269121008941649794037068710192187490051149498028424331125268416206533659889897515074503457795167136437450431792073707343199009973084208833022861157085646266215454357306156931403335494474009991336957566669720203367930268980884027122020132399423218170257331801707324051427427304797901643548031735028279526151577350213192653119496627330734467291234294539862730252245627026603414561424560365173135147763663015234770112968268980148935767603712383243765311711565110093742806767795907804651279325709438902349964700270166315266180247148505900716333798523644176100892842885629380586166220744783512041690651810957379009043176947679667674006839823878489206627583376615256636971595455172219397507066636427292614286070864311958910363625415946407405382798641954502615481985671976578236757381440736976896367606598819358305647096709925420675441362113607814283598991749464125774878547821249178834406077386560270320658020367521230064354537705852690277412156337879226395963476523577487784532390359975056004912356528493243938599667306566695211777138198362309284519149773589151653141613369852995051090686608417751710552356747879664318347470004448227873729684070552836570017015366591329952477257177520685881001792399404546654189973671382754095073662946569676539588434481085883210821765520232449192291463491029073191044619616428493730961703533791848913081654205955212029929321835610581403054416201028667060408387724053992438684972887341734873174265878258393462078427408958992810321235781119303188265782876329526978902347050826553278819811250448321728318801467604941673970214379114606619329055704060997502968161833649554467195996264475185678765127024605472251868016123839084461429508659895648228018721385657764078495016424740451092536146678548702799184579890380566141691908195318454564184952254186196408437372535664467579615205102230096419812592337699122369535309238865704466835656897605718816822045652025749416067384838343304060021826543646103514767907643371715959729370007652653037900330059258229307139230203017113371662345095116045181264563384765602393908555793703963306523811161182804558039128114339491651000359279709491690247881027896749025417408034604880237077039456850243124858932662048711723742955933022912310056644083585807173471078087937244461152245403642712663257619569733763580379103725904958977789530683134475522531589106014248556700519531207285766176371405341961219190754997246244282667283165024109477602995460376380443551425905822522683017579605486076643304101794767522595072440191362063594921382353347168425146180024192267668600388364338465217886852608542528078014427831930288169469309740154821400855315430024435387608931844026264777491014200467094070890162060359624626756413001351682030194006899405249439177728247168533961950825998758371079710416449267567396999035163763032387651626886291180677449831117868407109987745157438410526492792433344942714894609783636218914741064157674689612902500101361332796827871920376403115367610812349779619937770580960012866815592132700572931514122373971008366494858087390547305710634340986250482557661809163144538484728830891530125809274578616693863972823127697586124904816914085430855995870609027997590290440103433024402812529420094449210485523902971857831152601781343080018158631810835609704839057889174412922407704221573088012970322174253011479900388275819971788567670401632275788054821890501143481888993947207525673499891350126660668184265753303386171054892310583249467233545324312193968799681024182262869018788228541702812741511006603225976974436750961850611717010972426516729579088803606467183468520883990348448020701340287845095627610337894832358404369259809048243598204256878449601247911622705292618785319217294722857972893077010884129709306256505725508781816747889828806010952065979656571994094057909273590425585742766201743757262227092178870697704843469392665636440355043348446112427697918223885184280201719628996496647933087813502796827191226527278491089868334665235356650266000805485337687721713397967321535601137
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 5,184-digit prime (679 intermediate primes).

Certified number5,184-digit prime
Certificatedownload
Certificate chainshow step 82 of 679

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817606643 --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":1100000004817606643},"decimal":true,"detail":2}}'