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 #1100000009122831545 2,688 digits created 2026-08-30

Value

721832272086786797085336148052556327565358936498917638273673033679979913715106063822567441399905755311680340615588962769679765366291361858534492208205194464902097020812644111149680593399207590790084814603782749771774658679183823108993974372876023881822178337835002246388510030586529079441424034158049166266737992731121033513420719208833572911166563049967645119712556042191817566002142057620894651517119993797114215141677712449760992312159450731487489887261014075375779406546511408205390892578901168604783762376449777702093868348852056053150358686389526893247313964660683108715584341472393069423104992211997969620266053888307778898708560892420783597735415267811817415710738235556931794475131309393009563351703908644120599082172568752041770133571137887636711904207503484510865985214766839666007492470107459376776538888259771282958206427733758758801034774442413178334958514607007544858083383908535908911481938111974575747948246592066428322548994803219832605856948280140438887867191545462220139881491319375924049696702961554708632426999297104244679012988526458428130705894968796225386051842145902698440600534295216827070456908491558680519273767736803409949032965002409262770963596958752514235130070072216748819272665854549016009543276208973818329794296626128905846256615268532082608290210229292423777322836913540795955889505434167912076409667913951160577689103464842666712736772212899963428332360440604070758645338154637510534310508335690656569954751998033962926386762653633211575484153856789016622429597964447106268448573263201364144162792343258207800684848189437030515190163280328368944148777504279461131729217522785214740602478809521286222323985020527677806114641515603143644974466784007955528162377091328480451706495985628291080698954481313798408035242176231725459798435803854428410302073830922153115141960764924043745620628791781381119029030983563368104581420466015120131059293804255748274180463321993817253221862129333243981094171786159434472333811573190981622792312013790184653942277100450270461886660054553326832845416642415342102852270442336446881796613400914814124022040540619733791194419450272342941354201914090069822659163316866210617943349710947433084570517068684563888443784141538448435796654027621745056878146094280375315134289419224665514388208053371837166514184758015923442280936486955212461501364107142555399619857363353354597354761331668138437889806799230110330087137826177121114381374311289103849913686301119050831966571739780187212787524947384494608545774157790549285433301217666542570996117445614162428100132210946249054620894206410502074162951878167489257096279542447422937493954580217911804463179886980618319589301749690490906229024219187813421113693979056393783255439
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 3,096-digit prime (316 intermediate primes).

Certified number3,096-digit prime
Certificatedownload
Certificate chainshow step 36 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122831545 --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":1100000009122831545},"decimal":true,"detail":2}}'