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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 #1100000009058378440 1,939 digits created 2026-08-09

Value

1947279597939407503062379686765426994827419636028420506912364439878253091658673250751642356547623384826357953166295091569790197235966358765643013842919246615894055965443888240665795243419427520917369737680864835833409116042691804974442525173931186880580382131519729132129053991411025971982211276357736248178387025219210822092304023267826060003033976887398492056119615920620788907706952189142355780098022738829278060820038869883132390711307025050975169658212479373671040250592745284542547459242816708307528625812755114230180723101901706399778949317391261363278081876934917994892917010908405522106403450846071298465745846403597691310301248238509845539422283780771713924007178379667910226827448108470971126841699681033123002606713026457877143587028078219782893252268749721155088396463569037080056157014463009990760989754985482789495027389390478230120409750832266755618326757136295178201699349561279736932304970289488557973139620606165630123785607556458358296383658644668421521846004230888948970739516644003356771483024980806832156188906789567102723454341553999170861114997553725469955254654965080921105754329265659609964382791635386262921512603558985665829953724955919825911963334868932845036896572194692283121974484569821725038115446492945087890344635906785590806538649245335922404581967591827046702718680219500222752894330858404458532869858585227480534178303577767971801984446966860797715569804090214977632139301614455067829919802839557657438753910363449742561951566570892362425195718005328284806939770698458710334486897745325444840443997965182915858739035026832437465247162601409704715025728955601175791714827529348973292201119653367225175684867690858335335284394802286606476388640213832369018498751399884356099511770714749165389991252313947070337948248433415859174380456947733718232068908409881013734702376098619226768693928342410616400402203919531328309335241875490096039114253806721758007465724811616203646643859277396825720580100917991
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 48 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378440 --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":1100000009058378440},"decimal":true,"detail":2}}'