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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 #1100000009053827898 2,444 digits created 2026-08-07

Value

31864804593743376681562863833330149573168837334625444989266015929455205913069276296120541065367825627688501586309764170592248834420304017481778026138294542291046037906690712196144871867677432861482015780041874257544912818942785156760424857834020002825223586787781053746229975662978002363713580425974967893737472946602565849840223655796652269884289429752527976976530106198895096715343514096226657795854852182725663907489304492651177983334012822005869877308424469006553042615400254308763609798260777809650255136319635212280183078340448360060043569031099224214728330316118790533940317724675353765049995286541694806938774676874315045936911699778923491149715853688742014404799566139194253313817564384270385063635383435626887056520595902266039032114413729135297628428579970840918384504570304982645235351812989681305725871911541182100644208915285290602151112296873050888114361336950540437527182057714490964857384448639373896194279898440486602056655642516502897220013986088484647176143084891148428335095656801359915144984660294428639276313592341247228417057607294714763069483850625426380486023699668001046151681507283927232165792984598163565466116500989267619253731564405334379643574743098410051700914155844105039378481099623575446627533485816421285728333084712479802616255731922390061910494649895656882153881138236562243342351852838405150441571318791869813230678742908815251549431611245496773993224508557465442933721275669968720921430061113780959234990142820806613032441606804380599981277315034240028487041705762148482295684750424557257779039111107508101962847511285948751796932121148159882681824720054982715527297757075565982605912087506455241588503911779937150551551871302115703944624405055306202168633953430155709941790238156453815257164723596798359106974393213753370926472763834130941542978397506472772979979473054503363646876305477231329724039998557785162281121937873787901227092865661772699153233914946546701119758988079981666042215531255210927018596076084129985393995297218664770037328799400812017673305898873848032727760084353650298965341590630589396869825764707363415509046662041556059896910089643274317575256753523541746385597999863491713089933361841136562784424154132636048969065077193966658716216672149547527202460248353240056970319623184505880052218598567060753897992466969014908061166101291221236889225708814945993316697477912091631510798834840683401627549700332799977819040811796881313302197695013863684409565582926510130791162263338627
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 2,577-digit prime (194 intermediate primes).

Certified number2,577-digit prime
Certificatedownload
Certificate chainshow step 14 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053827898 --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":1100000009053827898},"decimal":true,"detail":2}}'