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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 #1100000004840063175 2,933 digits created 2023-10-24

Value

44947735636778902089246475712296667500118036888907111657844271041804200908240854295211884944010226422122794712793749875757194669178830728891742978521447224901962925684714724816063191843460807627430718142122804751703943859371975028601159256560559755880260613829547989667126045530900161298778585360626880160818890423593869741228021716525823260057120321429740365713835814883600046165703105145167475216867386228475318567082544454099990387091141856212604129917908388644596017826709085493636080146925015823301775725576796807267298023028698031235831100358533999328283441618883008544959176022293390235579034889379970866659913140951458073865992098562803977885838585044636486126384040441427584410297319413834792457878422536897439777984523233284465955554041308402395251563797142677388939891227502661861873887325815688998496897539227970922050019119924070327644550138608943888400513253776863485587612680495753600453074817512508962967856004426692831504538469143162641796352873855412256336191310093521456716864755233591735273953375786698074987892175747689463957734882081839387073635749848910854565020980406725372686251259677392221264055923107095176447656451162416018592727639434932074225227562434557775348208068335066279910545169854597246174588659188158504416180544254586554809678507869290972042622995421547639182864810737040483884839904385368056273729501714106647643417745185021030273513528712193431009921509679434707750887631876590008852641957728167407527641333478663866141666323217546646392274039929853267846970563259987929201672482950224539483894262117434946943107252960692447879307549358415555371325658974254558341170027871783545185632529315992623102630719062621265617091076399743917683121703218886708153886324966576359336164408513997773992032377767307174458254514746956293861764654220536072629215436129606905970083097313648987562546252251909046929721056776274837598132250961407463810049571443470374463057853597051863976447592754588068884372727458415841516858122653791037357877788217498621980434187833485253927136860231597024100447951526379077034000535780933441762845019356606727669685620321372691972363983320800661239670785418698217603373740520297971071718528542602417303027590561132241683139663620962163733073625829095776007668697535526523050440751987916327316346044527663799139710332204075700740517893202146075910593165948163531375155342011025348869454587722082429755212923532723152117680413674853784978924687266025305089334569313314545796116668115452858111879294678600575669731712827686999888583096580926997604285904112071894788480791877309664117706710383554703969095753273273973330198179766725333284652846910977446340390982797134003953217525587131368980156656336849977983788618600459339307971386199504500694898897619345744690797439640913432638557403217143454624285518358795337588533360789954534680640793744942220017234133061881987304379258311859672558911738388015375680339901558508085083309692782245302201274237719923429635696340361302871
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 3,495-digit prime (378 intermediate primes).

Certified number3,495-digit prime
Certificatedownload
Certificate chainshow step 59 of 378

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004840063175 --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":1100000004840063175},"decimal":true,"detail":2}}'