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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 #1100000009078199891 1,218 digits created 2026-08-12

Value

514907341246124246711968426999085494218308280252293639057458990059406256889965595523871336687898937502091751767556457628340572498813805997631099730569637366088404548600170576736849313785340074839100222991046977388914649979207281567186101765409710243181038908621602913115784425815870160461167793136336690676436396278195610650201421022057140296400334933091201194387737220091362511816355699845028730761587984668684912144740726995624031647566311515113128055692359391849832200806794275192060137896483074744809548003401013771685280794099907465100088717077063603421995559726315037655279039652400070648384274615622042246466066703867687240009644689419116563731103923844648685854565546005468334646824686881327913548164295074600971447818951531302163542993209707497745151779337970461448527033738210400633138306712194067769533406294146181715480124107731322492002226447323601897045762100032169206407560243124909055291549361519008215359165356575808233858037496109740505878813226957163157604336482547705652161905601184992386076310762606373409165635091895194770134422891592870253384972912013114680575631294471434865986984784142911476681752428750842696073348648185039012607903811358376957027070023818984163710530992018626299907103331241
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 2,146-digit prime (165 intermediate primes).

Certified number2,146-digit prime
Certificatedownload
Certificate chainshow step 72 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078199891 --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":1100000009078199891},"decimal":true,"detail":2}}'