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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 #1100000009050519557 2,089 digits created 2026-08-06

Value

4169098562644628750015815100901448241694905675945377740038503224077992391468208364766528378799421865681289198222749054923490643696750317549483582993166355670291204854678505748111965407881232277073035564810314466192699743230608480773622558420156125016910087790461239830317050071353919011275407215768970994123714707293584308263358729263857300174241068963611808507493797799046982799721953219990602989243985129163442317922072283263931188806368692020377266825920858137027729506878573082292098813372304522267051295628277486657757045144506211518186553890970113055521040803560204734212383314121197755594715099978620585642916913544675726632932766625075944767788279430359082027130604814714662351075480820249263379365938298390021278898970437286267714587440363179409162914174689174729105190967335234208094272168556942299728620219523636713024063649986217173546170337387143300027968607026771366555368572788217594681604813471163930737311348171155581526147211131639740158422964888619745749582886673094862785639514205392583209535765183529209969170691135551278566365356649270886406904350265243864290784228708066557327767781777467995770793194611345419860334011905899797765046108777688213082128118048871239395377923592567279123384116838538967621521612546547705357816750527353964516895716905738165145951572818064050284137194528460770573360430028650354008528087044869687499070928239507459908821779112911661580099674675936424981908329856267290052720371529362659188714750797307177881586232374010058352311350946293774808791749922538550295446736005711580534599286058550516508996927945227322610120051601415709067310230586069338142156454672482921004520306134821048620972221941617871045471738391756406770308188461112536724094567834831327776887392907924444309532436283898712262312068671856152918630970306424260523195057621115641321401600136943358777210297275366075529278741272190001964292994564133606356627348775373097324748689745963689421878244492489623268570867935666564214356284347859501783942954640479037050029752887636476828620999001367893815638660433662185796377895407257086504400803760396749593100286267309429997
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 2,695-digit prime (196 intermediate primes).

Certified number2,695-digit prime
Certificatedownload
Certificate chainshow step 46 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009050519557 --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":1100000009050519557},"decimal":true,"detail":2}}'