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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 #1100000009117855885 2,947 digits created 2026-08-28

Value

2745999347452397936696467313364855455608443203902366861587353905981806667504641710973375251991907212657805106455668996856512686490087347017652175491455404534985988629494198970997230244946462882411497970750599870999675911976607769849935430427279412006206885658562963620219267333459125972726356016423924337956050783419892501256828231240953658456750082017277039671150814770896036946585574425664583664502988617602064689251453768262484081694602498993173888946603908892283256026400358879704894494666507584694754859412720882804551571370511553011145295130431976641452238303950443414699950710245627046746936907390587445940028059996250357501909939512706983911526182425149548727003489531156274678357961829266317467477803251955544209663984930842096626193204220665641294312296386107946077159684229480216607014941665047796164442638171924798981044558569608888810642358454135514587845511805347791461475131608563421935287245750142902722635561877446840283556673270738510178983556840148045089617528215272297690185322777790779897357482888973432328325581402788611631587963771908838637434859834639116190660504279132653337252406377663706433818218138327323873743348289404457827304491295292312725899304573382665269716967924116795690126687801306872168893177839414756830490549047013451646600040100918093345927599870680983671335200087621618601172873618151977791155697558455229141434318306038295087437829862791742352248457630305684718126600829522667258905334496856152132578544997919890388270556367225667624874105409399539283549505489492289594579426046621015593145104900801862874520730441492257644607664463882833698383774900054150867584361684704725298752601144330729072707222259807201997363560700480939792943827537123836561420888801581147986320487308127544148992770173622020786470775744327624304290902949618578768796221705020224464115406695667915253926322521464718569423227042717257117911832320295737492186045101398364851116523352944884855290759802293363163542449980625222859908358489595131302324774657182497077660208151830114786491205376635815225586156821152182079258056372703236201726409978146273921773602782532147484367569524633343790169151697283760981366989608373644977124486384295175744148968191865660845829886842215950223110297360373339561559119672666138851097720405875107838584339910224710269002782219924482114044819139772112463129688171392009923685015364109214716263476336248924682780166232148646881320226601067465751034963366729065087592583573747214518159077354897859477536805508783392075406872422357232879539912608912622324652310969178710794126778421914331440211932091252195989684904857072702914120872724696446627796100143521957797177749025335346913763293208977888995824589357249517536971804004734361072959805766694028895621444141374412423150804168508392995863333688664737208421164001698344126225269650191427167131606035513916951458093927454812471178347836960245650652139771745514626783224119778452071438138336003886757025702288944365444612755609488473397201594821617
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 3,049-digit prime (315 intermediate primes).

Certified number3,049-digit prime
Certificatedownload
Certificate chainshow step 10 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009117855885 --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":1100000009117855885},"decimal":true,"detail":2}}'