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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 #1100000009127304084 2,848 digits created 2026-09-01

Value

9838922378808906116477459541652939310692290997838275012053907450021321195721648882063699353118198574229604553341472671184106236472779577705977322797699828255785081440761852372195934498529286052512249590072592982730859262480392447052860259471260469678579357697394425929041101115039656600353197610965306839490060848810793104671548860610642247721689783812563359605786374129356924547325587141141373445997027592521735836217898055919353502273590207963319092423504579108698791851148938622828444684419936504134488466320050331511188977873356220607394168669271298057055050907758459341825465261434441802375253725893099819929095060366487587983654364105802946142451596114149914935929980418498217629048949705033298705966193742870657030980755663336414938747087263950798070448915531430391287240315766405489271093244783803924415391008463082427124040491304110025632028853203167835305457105944454470744274767903518882579106017155053359322493852690305933701070898421996666979190285782459294386819743699579407323232638980781978621678578618605190312338454048033454744016041109859878153792164958813004752368302208328644323017909831134401361087963917231764561195297243316342183238819018512027107772471664495992039589145839629071335525174262490563014827441123306892945738386973461671339185514089329808186405312656322039229868573798811488483995421797736085048394231454795644520038136012180893418463534463445671894779745711143689647998408847800127408309524237695393368663203225941635136084667339047352174283492947323900040914908406664263889069957964479429754238974489185433178520716052926349011611186449985647319001423464588509695758783828814192733020827709403517996251420398446075928701493295795970938243552206692148726131810315871745795745657808867691007240199372083662464446400786851023873795087949221926699513191251192848167948786900439032423894960522566691505441097156676354892795650157202629722311694463203183666069186264419888711915298213085453188431328570878980242983410932159242320163195857888140662455477201946424266927332400713385402903812095382041195539159401140489261517725044952646975298920171737687059935103021124894839057498026136654120129263841678893029300359022034340568824036916171323901427423826532802568841762216461339093521035288654352230696534057016067740289873650329569058441599268504733335742101440731041171536214976316921576445620042756039931437840760657836761120672668025474524485493620496728623927464180514335506116208911399122699917322270720192266199149048695682928280823014040552769228523837405363979059126041509761569903358248446974061688302192056029052490444916856096225131548597364058688839817361633740808609772065048682231130993457362979021897053296182781574368207233590337921981762954738430987456118378696686455126550466769283078071914186082273243698798772222357996208208553707480845568243149736092479991564928042053812861922178516146113721
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 3,105-digit prime (328 intermediate primes).

Certified number3,105-digit prime
Certificatedownload
Certificate chainshow step 28 of 328

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127304084 --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":1100000009127304084},"decimal":true,"detail":2}}'