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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 #1100000009054544169 2,051 digits created 2026-08-07

Value

22425066371726387543838563114074814688142325206944601685265803549074855270296632605538517805027579505678683793885228535010827463061573827043320416407538710683256176676662729097566051590084023429354723352208467549620431822789771937654008201270356388938368791410639223733682779927885549995354365197717888586035704523035759104219275494125398623741061903021629993997153542578607626623614178414483219139432719105297257679978326174008921844029242235170690880898029370264290853498630112811309155738491704804620690335869192095186914602846459527896551207035046628608300132595078248403395576179111140076147037236591820530397845477207521310805826560647721785526764293215482266371958733975959991351089418684325659142801446778955694010341701553923739192821780753700563783195327126692615644141571961314103542000857968848104116171295647660445345632097317544991904991475850484188253145932882728631875849115087367763988870596466132902014647576333301780187625546155581464069978727835292101299760531401613770561020154310735979956034670826459433497877947893928308866279330078766804075479380527031261440391377454709588298178251672776989561933778909695237693191417052147122717693371298127980111843038628650950149450809665678013765042850771751386375277038577222887098673676274053367335704392762241270603189678247808269466797758676811130981856431712462883936849220607399699910235027838165930398833497081450718092587524854608707204049663596104867959006774658667900135257219778659775998762851720774430814526604595647436985778413670542464801788461565948006583598628586443690538908952901854784536094453766141991653907148783027954015087486632809632829463692660095670545825990433958838805713597125516777647835488765882337735492344918703102194096790436370260207563618985586284383320379271492651751571993577038137391983000797856433921963647755402096186997637084759240472039110124981203281361063961399067327237234754287287632522197736023287124486314837859732602215418894881093132962327680058462158750437196921079356370851877631325306016086125514446600771071173184624105821153663842297
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,519-digit prime (183 intermediate primes).

Certified number2,519-digit prime
Certificatedownload
Certificate chainshow step 36 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054544169 --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":1100000009054544169},"decimal":true,"detail":2}}'