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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 #1100000007100334279 2,278 digits created 2024-05-23

Value

1878183347610407909329764732474104742515175745447666604413250400624474221990315373852121089084333288234545479303388157120900832695312098199613792635412322732910972643718066812938022955072109627687996757823002734272280129779556747970897186218053629681846164280168846659371238506076616817075484338951874248988148648426304119510983715783010117147082992033566481928716416184086687017997417620257176644712751977893726271600104841683331558804411042066850795100894848756231236716093394655488861059832849206014433861067452491697195963993510039800843849568414488051413877736266731312508860588918555286615554619953032420242114241543240631315565671619898496394098606449173921892185361965913731602841537950510260341486323154347959854675188764215423627694489361447186307298111536785485075669340567182941586916178825384582619628104346850209250879207017972045615878562157146419968242245984660472620915451200095078543510366687448320240256670637279930065039050250661265479456371271889081091916077560044649779837769235514089662914119731644065404022039848294148254255060264897569253652851319824273876454351650225489904025250300515715045079235829466873832410836298748049111792993594478461261749889839279160942389508347365348410485085750385793783603766727011969954355347415366430974757797111458177270708023770584017382403704082448003415331234075657106571986339398057315672353732269768430248481808834682554771887488315120968489969835937712315038343031021017277987041060354428160229748789925168454763819204733981255123024790161828464490239458023927782576469971904773949148906474215945378031604589638473881868320230726562375109114809838594199285248332853045770759818646735836156605276939339043598343475734625701198086991148000954963514028372530108003056791146515314622296686699653001208750402904926039350481210379480178365189150138251414517341596918430744769617569089056573266874264768685120955296313986959363692294803237599122444525662955452518373193961983527282034938452402865883032758246449288236572976220629373025633490544492025896910717377178432159919498011129920791875207621474326789391241184590211985973934331719067941677992614039974817140319061150131394188028754681964818641573871974711777318482783165146912827851907168522004088592895048320519676053069444176722290036781541212687572716448499659
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 3,454-digit prime (223 intermediate primes).

Certified number3,454-digit prime
Certificatedownload
Certificate chainshow step 81 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007100334279 --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":1100000007100334279},"decimal":true,"detail":2}}'