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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 #1100000004893647501 2,093 digits created 2023-10-25

Value

50142428627671002873599800534770064450307782066101081300149559373151423782222689862252623625900105131524971257417860496336153980171700663348851455102014925126220142576010624565828964003759645313719916074338847400838461770801641005744522395845835663385433872326195308197781044737816993045059095762421261724820886759199557085051481671999635601925001768445463119491773593757067173272567149780979142408802862863596065334152970090177849213543256807699200963188737071317507901862475857057171429208922382608767317275102835073818343207971756509648120202798392235885440159812766677890621680423514755962390856393330841235401588999751123336769173601646809361849179111627975539574869279147925759591025344146431092287598838336238252093123727833684536521974573101094746336672716486654209292192640706082490400955237079299907560090772422628240594701399465497683136251107840092010198158814961940713290626278209815557553578157936320879054960933097663703829199528588388316623617126643336492992667324068855549772692461507517290253050462139518062699344407600083107170399879081729001598499819023529797482912971116144534485605776202277986384112556063174358492518806920851065527156341681287306630083419256869964356864256117691510458636336851419945370920539792847353509877818566814217756316967979559989053647841207027819679986476968785055101712885414294064167235815143561708794585657160099804556867851372624671019501567569597533169413861281347974614419124683761197977366981932730263509147588321635454978114378522028948854254515103800748148960131624217635304786973969899809786772920013585769412835174754046076019688562108186802758663255322468752337471135581048809807293015291035664177416251822026146032563997889740353199893333726516947373364527041173184374012734623793271887268561521317883256519037688046875215774083260944901385098831476931443874509849729239641120245018483004680136953015225234802706228179032583244467365777743309522821294036327142768264595591724706760014576823782018425296832852364083267521846374592234578495763337002504468112825182738976612902185178278523564521130405283656980444136796176565828124409
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 2,182-digit prime (260 intermediate primes).

Certified number2,182-digit prime
Certificatedownload
Certificate chainshow step 11 of 260

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004893647501 --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":1100000004893647501},"decimal":true,"detail":2}}'