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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 #1100000004864647417 2,202 digits created 2023-10-24

Value

681238546306088882010582023593695354936980544001187143247674222189742450019110555700348957246533370464477299282463936823568143167813443101749033484963345040643214927827710770786289489131049130304983403227294497016600551472635629417165277652700529863547656080257139998882400208330310764832751503629890446881228418437750277781497017899055306387503991400218747180721653178696314524981195319371780684440463277189251448897330725726589207001396656610791567019082862580560284316729200982791912728815514627315367289999850564649077429134337326173676698701653417191586149377931917746914387321205847807692143898068096433238927256517565071927686456717729135956339473706616395356578593135646552988694206530737346508776479991898199714652386012044792163924409572058640397402844718096689241373197803239534928079394791696575383454370894667223986429602914055812038851863181087342169646723620429058959788512591329892034149316552013339245796491082408315084114177812012422530162990991321724389929821537579164641550044875719542507815146291926462512378439772292661161721022278851435817919326882831541993656512225588973793155501781970276119455161471442581093934353845171542459716250052792438670628792462757362571793694216489599764499119075732407304692329113203585296662206729620811565291357466225402421719551209752236948988178994682099422669635767374170143745008314608592516053835425224988756614628219894052264267344223567494916470024035297289816696370222028064290915371290960311883240797967928584986045645461706385899037499706620822092448720322560243922469800572906651928396243023812894068177072962646672137369369103844207151672759442821939035255756165869184084853924807225279111786085325469351469451284914184723734250293981475424330512467178775389847672518059289897150344454979962728964971015163602595429999787264284577920635303792971146762132933801124582836232237143269572246250042731480996423454938185277159317274627185801392018750600029057090127216329442091159848280583963320753833373328410737017336888627687127606603698131948438565959668053556573129672207772676628098014730931162980069229261224158673774768093619579242295292536113518268760837730840910384483686995510909373346722450161943403627133543933743178237557254539
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,808-digit prime (366 intermediate primes).

Certified number2,808-digit prime
Certificatedownload
Certificate chainshow step 67 of 366

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864647417 --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":1100000004864647417},"decimal":true,"detail":2}}'