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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 #1100000009079033677 2,276 digits created 2026-08-12

Value

21187662682727245214835475787335463162825269127879941654215438340852527593829271198928298411924223505105144019426399724000398976237620589708464654371926897315443420572694941100865291384211800734999055531483315781458594064761869587001446181970292755292122266320882405203370060272239029660700315266052155711680583517013549855703211745773277651808860417886259540088334897029196637743824806531286295362353279826674784954394933077767165474470080845849115291005011151049744838572173714398738429673533683490535155484532863799517686416705525862551853181790722943794114706992316706814261327811382293964250042194109732945246304872788819752074066186087974866097818870941777302856208124514276327076718238968750300216235214854227875881411327727750804784264295889178733122511168256945796442652639650281013948983815668337285733736477176143536204934626783462395994628671439520539327593877725108504316592152187506067223360945382101191178692678265055692485271533165560975625126609313770264717878332650583204689304318904078281528515111542745255653169208180139106777829323247307529810771111818828323231334316014013659982764717917211358909526447588231406170994174682896424513381699507366169559773026760354518194050497072420481221319412546904260206042848839775902383402440213615289145049241142931722082228761326299341357078802439237047292886319548271680585212413948586616907689553849670915407424471765569814620768007387948843318339505085266220193261234421090764924678898580521567062587059630880504254352351264273271277844238052302210424004568217614879012045089705461909243663620884226841991307185798698550202860510926778171355225145459481666822578802559102343600683665435424441589956747359138093744289751959208393501480147510152497725798774018192343508804693822830671968707720551185113606302568158216034738032832350173489151548801058413800202880942830848056801051854275718911659810260437356585975121746468302279130215010872627529662881115670277589067483627682241695082486336766692037133550972658521541508630731801719403001940872340834849910604832924742498213043821562467194308526258169022724476338851920772904343990355837601651246333600994229686943583272128930306698747205611442234008351738670084732340894932473762187504689820811701375875109718735349483513550343876351825105776592871164337117029299
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,673-digit prime (208 intermediate primes).

Certified number2,673-digit prime
Certificatedownload
Certificate chainshow step 31 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079033677 --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":1100000009079033677},"decimal":true,"detail":2}}'