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 #1100000009115726305 2,628 digits created 2026-08-28

Value

353122308767457000417119468281975864160386496996370384637210850046509502509155254855292009993789839589544481565444149873751077580086743405524962119546844109234264404272993446268021624124345242060727335299397620491489126604489628523365311859043259862651783232204819649925242929313637249025159829671032089542254774087097714180101984463074716579111430138925894135278009556445383907884013828359124148121717261148121427123889295818115526088890799779432923998449718634431380120436513275248886403692529882953854798625932336379365745187694233427474096216060781093118569327126925964814046410389266074807647439065829677155105541996466018270478894525793607968988580139933976270524259913707568415367923316114031809340246503929640400766153636485114557931584295595148654168985137586326794406808809415466363041771928541148239970853304487198818374849281269802552653758779649406275591786821487762010175411890331357600243641220872351269752961291224806997292008496451285881922501815713560069648537952766838789217189246240618520933523787977245068712124584747120053895689187990739967115226709717382812300665900702352490424682278043438487014989751250703157288488871036874239325957164258565691662101468985032698962537085827001135228198891646954627335154669366804489303404841831197740377739399121420466178072905231033660768132333473570810475590743394690947681210396156034634708820531921244976963938259932906090985222909358384225983792245719095142486137414824133542855446287638565955538644583358694499002126030634648931985615753690250024086116968785131656432670618276337913024643348975124616120050080689144470372272359554243170335085998586228747065665560878802214180464212553837840911055648318273200247469392417688459892598462125454424629949570194618523629894652091882104871099261901840741170317612478384315939241236842238892789586929487132733048878839589342154094321152657644229972893463529245363027335395489889720142863509029790460040175434412884694977959486461513225286901388349239236265516438787291538310150687100168471528332013443876811717074188008942607552016503415162000274195095834761216638898588304969723317442264332132779803092365930409625958628048436192287978017484222216177955981335714750828362720109923011732541851319647343431070354094760287987590206592309253204477966503479713880786704523895852149075903268244083040695400474629906563321780589608829800289426020874104692613349966469641257665134829627406565056230322511220441578012424061180963764368746491914192079960600540101190890276836058294444715604490696857596200721498196920413826043871411599747733730491285711261441332296949346782779719270714589694855921698718805799343585435554066559
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 3,052-digit prime (309 intermediate primes).

Certified number3,052-digit prime
Certificatedownload
Certificate chainshow step 38 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009115726305 --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":1100000009115726305},"decimal":true,"detail":2}}'