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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 #1100000008588954515 2,225 digits created 2026-01-06

Value

34054311842852082757996855050261939575834496882493916247109375151041294297196337589569402173012166713974137934553649979644983801775986963488326249857522274753469792971469658791615344441241073582947588134608192543456927336998008300582584371447912315884013885800106357085686314701221039122279986365262616765355322645557429694126044290090889707413230056619183975226633860425064476711780733175181562577893815287521239651205705901586188115329043436861157713975729030990261352220703034134545062167272260624536920773821061514124220000510696938989036061205317586108416322279938096425600687975207516307703421557592702053700061078920851382911486532207800134086962533700283539895749858131190198771607630581291564024662052008078188558261470380260518081151044765734323377301511674625315844972345080493765518789667159712400685359869004955871259228435514495002851243734736404101816069474743527625934463070158818890247601401594257904959655539581448708713587382627640142274613405719354972313116793517906826910358194709826831754614317057219004860209041922806200891085273542420284891026157214535665487431463026363110556868033838599383373258415460296185258890049170559041449224951127135517750633071129481773542476317276490672661757092759276548750207037640156353382858792780939541883665094907087610018323970735543474303532367959754522706615703594780015893906665472740567490348457051934548866738723817437427109484136481882128504168848929565715117045154166911399535069685230547996231755996752009008683110548054575816361425299235324753638577089824275136231482361509512823071135478859685233199264914439948419672368368426020025855193119005280546455258317689626585121681103132503135481273698841187856811925233650404932948194108922103940310041334382689834279436251135867651266017919688018582293948487527451312222676677852616005315009405038473708773585229398108186809877309124150126919187010366249289506579054481585799688261334073619700306981265567273773142995523839971183640366631276609159401750425393246351776360588777181944783910081559011583589282392413768138963864282805402469564407586648956245087370860642378340314306289694940125234114644650925245625063026831626201279554388427884808846965831674440408953613963084084684299792452852117576803518517501
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 3,572-digit prime (212 intermediate primes).

Certified number3,572-digit prime
Certificatedownload
Certificate chainshow step 88 of 212

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008588954515 --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":1100000008588954515},"decimal":true,"detail":2}}'