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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 #1100000004917632253 1,829 digits created 2023-10-25

Value

17047628891474073885093908327722669222755186370576129565178603038903396836793991978992529057859407052391280709920236632539584651468572684796710739595057468113850982389134825990865320543201434422506086712852751787225918727563505010618652838376672028724651610476580276645133003688780108216349006244748340574348933622689477047350637469867374135582274717787999668800268446898199751688311780217422834045186196178068210480951724186475347119939611179179383703411492686079574666352193102331121207037264186723318089521542856066727391722254336006809100117165680694506686453948964610225059824197428898677814039596251019034765341817347564289264429191648764694788207413919998548726191165030153328087648658116550136982182074618030900513591450568858145315035701912014041198440374422033753505370151997869092855343186903627623778357150037827433164106937052740495614958222492403164603939540764119061211223622705962840832661436692343730210609829340328970352162010024348198213092237584152718377663400712913099823203511114321317239040803274415361455063809071759639275544461036092777946221500115384900842772839003002403885307901687498471330411564435024410648689939277822565138993294743298944818761334058014498883616262059303829600722449938171185298841396308034748819180327819129237301583342129786919496849147199955548697758171210521780431542393026127181598725549479145298099454789583684514229652260988296839065168489136881377838710479360348798352849454718707580248691184557574882601271093919221772800350330220623666757744860590118717313387331974247342263464459758071676686853198360498345681220748347259595391077472636975069758093959710233989077782877322108984054527766079318217886436706944425040442547925647399027709175190398610563660364249600509730165820188428291005902101618398817707390817727401418828663917864856762487331780722576477912336790923981
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 1,979-digit prime (221 intermediate primes).

Certified number1,979-digit prime
Certificatedownload
Certificate chainshow step 17 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004917632253 --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":1100000004917632253},"decimal":true,"detail":2}}'