factordbrpc · fdb
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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 #1100000005823834445 1,976 digits created 2024-01-29

Value

37416099462568353497565274617365060274517224166920023876157958718872637572826547465300932307043709097139221658359443482488749253473088456974586749446294704174717784394361576272459813282898975496896260598722965588287517197186806070038793638005561062956575368908296974119202903479359937507587449359237992564282500911758447378733680504817755812264665897408232016174259933052727982539979668879073321601516086272792834623027624822446171342708801878714110363334464532940938587289101079296402589281405781881260402503946654013625250059011201247014742457822894525083445400440044658226429312226266476450110760253175018066409817954367264096420327882794888291404547873898904951956720669154398271733230423180347029043574948309954109359136915308703498401277177328057562431948604022389357257546247557403021598932077045498259886372179778537842907737536983178022772984054470149314872145267099413593469677641362882903637203056554420443822093867497322288069113540208939532075431061617761226384091961279021868279829152246930768814206382312428091535760971356772076507472713025294713141656121371370457976578453531764799716727253684185744683553554528196244002349512474245971512904121277928097258684477759405160928455086245304285113031859747998111522174082458705974910855453617449115373671218562177335302156788148995908114025429867764191668526300780458296462535249303306963501116962726079367233015249985901398823647244452302260710262553365369011272167967264359310630935326993256278374890033592685926340929934566341778376231286367079096604569742897014735641920987311893153908849805050605167055790279557787551667856977903790610926815809887313320869414477969680452617210322355351136224511673630360027197719402109003324644790151107950922700260318758318779790285485702346284990453755031419869722806315121910885007839265325121303590393694723168718901099302417097593579470727510738791782627317524548413746655685468373823446673409474809583749229196457270779284896973506326106829832765714445171721590319671297
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,720-digit prime (202 intermediate primes).

Certified number2,720-digit prime
Certificatedownload
Certificate chainshow step 57 of 202

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005823834445 --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":1100000005823834445},"decimal":true,"detail":2}}'