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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 #1100000009058378171 2,225 digits created 2026-08-09

Value

82646898700593967615888076620081040986228354735975843485785561990345085611885304859704408540777933835102467044607097348551984314756781322357169835618237112575630470598523295635342308401315918748073454829712202951897993499023861628687799974329658149269864446887972969726701354137304051609384806949806973300948218392466413423131350299918372185099761474345016072859531451962515667043497548229681595174344736900880168618460554918282041263568110000149567270217630048885602697999794535995031081624436181570000874463114809573616570270467974407752736302247929553554322627349599588916292377291724048760478957518624869095841410006339204630287194705100022306678914810846243409438206353513799258152749055202735265996857012695297164556906049878446562577421616262532234392645406489549445436815196199260873143030399747297270774898544936481383060657793641593536607079123093631130040601767367614971095014292788864934029682328049491518735263340680391888413837578358039266567534227455342369221561765003118467530321509930970537804026150152786773328549518665747377361165954952257015248956300242751378073000055196425724042303285084135141708666226141814100503120249225520023522497490014567515056497896267307535703446653616889174306549129770841250546818695770874118638746434858442985946734187650407244138423587514907641583919736073707651384632640172396990281591296243941758664151045326273913353279319586126967537128009730835434672724726251959791579805570621878185902063494415312888436255287743923864346787394580870497607867600573303369327420250390529202514914652477803900525610837005326003573009645839937874210674626679736675499792738218627351787090552373525233308873660220727232368629121263897616892982671537009114313302216169206001398344759434001401056642231062887537424000562065683996082276342987154193199822452835947179016766386014906617507957592186769699514264381143965682067264694576048870947242937940582749828501596011684859981134892192054858153791826077748348407450400734837340941631929383868119270420378735981832824660292494685440207383997505203993184413379709535656303347653854453870300823338095645700207449550493837361459512567929814550220064440404996592926484093198436977628091424415021830757335898287899767389206405202209311598327005573
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 28 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378171 --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":1100000009058378171},"decimal":true,"detail":2}}'