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 #1100000009065276559 2,093 digits created 2026-08-09

Value

52100134132542666731242245972349806852932314562503757036493572594442910861405050465074077839877362493861233396356067611857133729852580344211115756708756442911380165938589224193360133232759353634183538158108661497956590588013779289352924732509373511305232963940145350123522249078620156487048041343229541521913972734558533934358654139915666924866192807682342441610759448566743270769026818186658100314393583546625252770170759273205136468979582430341848818714740585289857278315407525898022778765582979537754694936721062675473254155956888206340947591349520217314940131890237441649894269402429023184816454012271486855262047875761616383146911359670575956386880173564364058382174798520186158422727194011297945713183481640040220616380521867203737755304711719388760151073001029203918637983769024565809139458146207858447871675258093766081208068705270911113571184555498369141093712477740322415390042942499274220339895123191502274385241571088969150495335994966499019275668810443702247967834464931897461689569672128230694118857354293178869743094999155035760059290802870908445493952778765627458003732247660119897458237732820866426063771833479877839223327294768322140979261985139179671222029995890337360801201026218789908558223707830923467287375765797885257925394116255227605603590852488186758113147764875118659422142086455906339586071929508107866839959600970735215187013379983205379854411404776641632603564558125922857279355383883314551600242539590016967618191949612870143984368050490676697609601611089121481776278648951197063978438099691280271379767319008500183365843371980707294897413698860946661049588638108495512076191241325147612752026810522865733040141471132124324788410500578187311055346734617677730292271073141407440084636906260793912376346159281605331085371964931951242025363405857672727179039315157342576065186467574172713800838649413254330699688024339096884308479922855460080696589334119851875866454240230315412328072965744450028304573221011604118497908975980754115690752395629353711509455835108065918341228329788951295453798008376220312800782648988448590663845519845680328688348815859577177359867
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,297-digit prime (170 intermediate primes).

Certified number2,297-digit prime
Certificatedownload
Certificate chainshow step 15 of 170

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009065276559 --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":1100000009065276559},"decimal":true,"detail":2}}'