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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 #1100000010589153751 2,973 digits created 2026-10-06

Value

302194197348991987394966412584370385391534174639080659183757435740535681006100534214713767701529773592075203212524193860965614124026389083863089524502840682710276345315321074031685549862896999684642038526365659553369519574427578454589078720631969799721362365043895738237374327140661256463021283137117527383098215528104187239642333022433944542028240203592404839487507465575454248117713494730929436826234923423868411179648789225234292128200865752729310464564940655454527009206987213714784174720412304068803006839695222393652468328345405511221841632416262427198390545977319078947074402041669118365788938684457634496617036454868763671389886445788671216657744042836264898861075961799699732707277643963247537324760620097324636567144183255956617610165076231601595528387870085805538562592391315107421009319533827325376571899138572215218353959607913069781739148566523511212766027583780748338763352550146627963905065426581539157313263984054590058109567293064120427918972115824568028145294503035843032404905458577487937684673151440670035175207324130644047861041787792491408319171841426005371529205551602198814813619148499523252676781169491641909665653912438515346577893638388263740909616784596595474639601922112953290399849374592770376042954288628812291085241811060197607227028561819310488340797567309766473212556720439265207490977691141283031949003697696118256827382251788335455595439751933395550576397722471546543361731288625614347494750435407476489195229164500818450542454587652005649549899395470854960756436296118201943166025727382721787286904627257555862434666841350905962567776556159855685700240916762148487354996331171913657045550519465361977993740388883507183116956212409857643573215745842171567588441742794937882931629157472900030245028349651878858017558383185855640891170427149304454185753313540165492899919889984158975487150611206630338127347281425198733208112844592714939337742748009476028116650734235215679643853901097871877238724608946064086153277090482087041347836359703632374227811830388925665189453810790910664051335599358134681934167603039053697718081153527129825393432328838773390583470775193355751896735560374705246855503911498618673748107991105233290347312944789865326689994729046735338799898459516107041218433750206349057120820126354364291027715835401168041523494027757227185250660644692023699722499369409404268277509797366556379669023254421242604022253423802659243469593503891132538394669068849285078593668331809474198755818275306477406036601320023556831376431680269221390013957907069895671336497163814186063831470513678014365444762227926536800724413162305096524006935085068733407977837554968125677912344586730003191669121461646276807029717438886156511037305368940565365379210171564069028809217225004418838119500105335706446993047937783682899924984622706182531409683125612239757986626921377494526457977505392368311449511709378553674917288626912774177318151082974045559000981863454932423597146156630372475116319109449513973692995792421995824547271972307317590161
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 3,195-digit prime (326 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 23 of 326

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010589153751 --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":1100000010589153751},"decimal":true,"detail":2}}'