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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 #1100000004852665185 2,225 digits created 2023-10-24

Value

78574287973937087688574938971653372176933379367296843866226023380735544637724148387710219629835963971450928447698323565829184302390241624705441070859515716376824475604729135174796915961060893897005233537333943337346790217202952631555926798749190887159904334780197756957901423091776484755776343655021042228157255468187354844249550566036057909772334578570047932251492754854026564192227122283569425202804217163158173161161747034411364843936000446502381454642741473872640636553899617706102543185507569272325504198842156721799619450679038164810980500578591368147388403669727287724202907758889500338931818646629589282096687611176846674441408224604460820530396334803370411680321395785203026895299235413767093918582208326884594972610374727968569830289140212123018728438119748856856263208458961858803136327423186571947485599543059192452881308215282822084253318278424483099885688855688147035060300345620414455391681079409559787259831812630101615196537773981249093296650015997492417098212145100341250286542081837951508454062206991521649108099300401090777021178354400355998272447485543935987593006872281838363059172996391020595724071040981608453550780113375770420676342111248607426947962803616174960662551358810577855179640501534768062917291800829166974900482903048151580137339314225568226476264412013388475809404132264144862077578946195909821764800817362173889618856574139832688647318631381810343514002527696324154429112014799992344891389672404170022330447324286334852715377811846913741998490364192338704369076624749867845657803564486628867836119286713366767257573238397301493383553294412617080264794862835947939026730505921418603898561900431855602653172649880573353125124345047416560743225022526732544206197285729934912843881203756513700127436885633439642068731878408215295096023980660729440518297981856814582696057775384606194779656814821256769848864287229766802218741197198064512229968174826526677694964462844881352870617781874692826575359326448772562881105835281881716702340867913660085714412614226398442432153992240817530077649936599105588909742129096620428466946037321073506720526228240168997826227906110674489239463888944762224218335491643224811279592904126467018492711228775335150574885018834492350461048468069637209997068910087
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 3,144-digit prime (334 intermediate primes).

Certified number3,144-digit prime
Certificatedownload
Certificate chainshow step 90 of 334

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852665185 --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":1100000004852665185},"decimal":true,"detail":2}}'