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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 #1100000004873696113 2,167 digits created 2023-10-25

Value

1005389171001700314417961749999704970648791739774878325025589450548962968358854678463432599146773466188958787117820158363389526427216236405154649161882223774785898316746758009375212173695597191316694464609224171586621727459047794957470830012247862084128906560060693204690750106941125375572294062338853202980756424365165506976125652468196410596713332642858815029435339142336142820369608083605013134024525942338466811494663177938224552409658560092123710896628190705120606458338257079857864818379834713185981592732541988633151076842820187116343045453996994803028858999851232118920414740762553252722290730447708403258612539071232278711371794863396683885206323789729571754036840886607262414334518775614007371043015516516268379973517545238718099103626853134208813077581908538470141963451996219098979454405144617051103753490234341842302036600464306461982992346589892951092594066410330369089788830367155848882382429846970482115915922474127515715390213903528089800864425133378145882846865761726489355662822738806427547010312262181077524400953491002838885922494865673350029020273219145141800460262179678872552913305297491612618527838821869448716438263894576012683240446190634119489468427900798214641467157847434142452496426493263585673330273383831908051257321621884318724487020709412089749138222679304830500544020039951406328148811155621117488223198771682640778531628627053805751113177900828604261768016696011149318610937270795547145433817574884374179222105087721985653391689572042581535176540591861722697812922402838701553987311910839562137978487701581722582655915689822872638829850246507842600600127539439891630275192051874241897008550371972530698255888296892366348697462756137716997917133065614368628001953109244719993807810818226819910967667800901555555380175981894790590613796030679449581982269676219320958955032937395916226172328448525445062950062018912492734129349769375414765935743067878799957493159513481363283646993257582626896975292919139313104037140949586267363805807426002947010786476832651383174700038641603453291799095350249830755135508933664410604100902636359728981288600639042563953839322033486789697611445909585939009619370833295084826311483233594984555197773
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,536-digit prime (344 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 49 of 344

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873696113 --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":1100000004873696113},"decimal":true,"detail":2}}'