factordbrpc · fdb
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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 #1100000004861939677 2,465 digits created 2023-10-24

Value

19538702714211586411802374709819194010262841253815977580794096137963839502590589356961748407635127540609085312011199902134988731256233867163356453870047564110437365818530992407695447234095505481566971662259541042726479969131411453661185772375389124361832830728062284940822123583793519475604290458087913127288194631757600336452184683247353772589878706569540195273733801086403891312769567933214197681579460601623085847384950817975543836750880112998847129835398695629752156628025824918920004833025078066632225387360896496618482295647425425958863521391432444830810298541703227309241402464169254495843208836343236776965781147994517065216903006708257810713083348547917589134788153934782258661363803947102125244171203183497743161794278314017135000031879463213044853508962395375036308756877308923227234269606441646286666051437721125248616891400641522948200438273184849782996873237722737427557126678482172756416128351811685242670625248464105216143562740067696717433588719888855530670376480692959052956792548461678803155511591022803502269441388619853066985265061206531595122919195706245736167272497954760203684621838674796862022089342106671767993870562645096355102723822557272168113348488878034676334853212263037957195482063988931804569461097449258967269454969707313087586796547323575025296581790246016575384380337013457978636390858246147507437600798523301565178307059521172451425812014927711546454169084038654972558876387161237196377883717425156923336783676890135402601772204654531362577559695488690413076987255611760915182475474450481459822333407940063208414799081109599252041348652594387249229356592628018190949028139499284025143286743786469705500596209233875041413957061411562243753457589906347695263057114709912804157200146476719135686151724006841767881050119586128736085465809614210102741791455822209809608196551377655177885015893285333247746293147708938904512725272738226114741293696817073305566492032241475082928089149737514711551372207828609314915900484770939776666609117366177938616991454071979390513275613525782151989278188452712900355988030753221964296998755152730375784762407728504331560344707552371156257378400972454343033645164866419695667102708032613525258455661708215864816038172190410702836024398420842889733661691875432048933872219453925831301295724349376355835550058753521895117139716411110903453041785550081278034619333802284962069911839494986885604231305397653356384861005910059333522793146655896000119700748509941417000822107344945608607765544346466189
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 2,897-digit prime (318 intermediate primes).

Certified number2,897-digit prime
Certificatedownload
Certificate chainshow step 46 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861939677 --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":1100000004861939677},"decimal":true,"detail":2}}'