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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 #1100000009127081712 3,068 digits created 2026-09-01

Value

41007839268377941015590059528853979842441102678047479115179566379947063465952881813675518299485520189815385597741490597721317699058194680912187565872923822289319654510871340384236989834055115107292496416068318261380715998956858671334429948114138121678820211088117375289501500629544285482918181844913146281408033970679535884751289620941993111406100139767593388931905990206654584518845869254035988139291709256641747102983957697717211384280354363464807938280037785144011541424824155488092750875982635803553236772077211678113577736031937307208492776764873578625331039749623660742786548921708698438768651349414229892733920314431124071424130582285629346054447557876613988408610659830075671987355595845291349038518833625448238065284022532061549269677184119431529942433831387141674297890441934709238161857372143645314857788164104410251413354131905317870138480028777290720454621088019200902525219948712618486457099877193458233487482479729203610983137319297187222112420931958771283380437302482053381174058865802707821191097260290098887003835437916734726433383910196406693802225689201586795366559042661102105857206791043659923659599189371830951583994280208247276311493796482905127019302210214871070190464527681967729401960721401815408039784066062709389256158627665522655287752288510986493511536706448819810078004688581140131470969068681197035528780659847947140062908912773584965709679156167700285117932987686312607186617256772987744750407976228536845927646062366218937682979997721847896877123579091758678528315583899218501850321167484945127165994483550523240396703318662179090728413119418680528848760312529479786710397637519676226129044206189897528182980204406199321416707516344123794535980464494902059910768467075901901118369176549156535937828150922659296010552658846816410590633975750197074491073941455965479334898361306039795461033978412856548500331076963221567559816634061088358108613837392358437694241261885300120490111799835637747592873896190824075354523156882779438052395469699131218455135910912317884377728399866432489995125617093785843196628582020854107011138876620706926269651805147467469817508013584074361898868046560928161223619393362673558140962328944403997966824952496437288544495083228214395209939818357835267010109050625800741912622084894435977689276956302916460734594856385224373762421629276324458345784458380111015388618499772116210459517526024608829067768480949284291097906845251872022683898645774641658761642572004815750506536751204745451229441208672806338512623753390310932572231374336077207045092372582094245985897262342258699515176901559621727350385594143867112388986673941391226223292090266147269191184190894983960015217090513165900047407687398286830708552847769101059513967852021724564072352908375049309646149051492246127168202889708668585663550589711989532456802990122425023354393436830194013932265081096963461658263465603115707949634527629346698254063944752623482455776353619130423143017201167489194998976552541894440999594956414606854034852272460119711387543244199067741387737034607924619900529439807286127234821693022541655694970627343192112848086957
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 3,127-digit prime (318 intermediate primes).

Certified number3,127-digit prime
Certificatedownload
Certificate chainshow step 8 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127081712 --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":1100000009127081712},"decimal":true,"detail":2}}'