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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 #1100000009053591564 1,727 digits created 2026-08-07

Value

45164932591113587074182851172687154982349271536270170563146898872084412128494399193806266008393347578932871159914489321290874904381512558323055196165653267984271652887298936790498327945765482257885715543844791571854033653692126910700482663990627883241188759537933191373143004060495094420115916504703271012973422369461601126962283123526508456282137701157930373918565015994197814778811018841678856902322343520985932008692825113799453492856092943083366758718113040003103436466520167884254366735500229731339818268126482571508262341522676973106286347764541036458511854469010313202659300449797172283459615306435075548354638460232218953886193532665491488052450613451318861930005287286213115833220881618061452926890969550897726224047279334509215129341934887730434419324480885020789536271651996457862240092707600840363879443126412535174208893651254350828183259156318189748125139763379904255685511986586859084862885977860943003042526106056552254653274353905584042111238768748843613501948067622266158280938555182736368395754398850450601183164723501587678123389853324136664523441695615986651993231340801372638847216035574841180430101141184912289148028029763949148682662085348988833318012422328828737327278493215031125347353238627416957236066000695923147160772438123135366507933907750200103877398011279796677005922162852810441930383170027848568831901518963971038948909712598966927518171623869200200347888311449513306015353191295076791626531862635806433421096713544934150612424214370798573554561864591540137309633234243138408686314002406754648404614309517290288111005351188666700440091407854687120079906839330115627750847832024875145795154097770373578283120401221491605021096439327613774700171079643993797481090000831889057717676539327869257
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 2,203-digit prime (166 intermediate primes).

Certified number2,203-digit prime
Certificatedownload
Certificate chainshow step 39 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053591564 --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":1100000009053591564},"decimal":true,"detail":2}}'