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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 #1100000009105165548 2,061 digits created 2026-08-24

Value

149906167723107690327208555439698643404437473551540414272431396678679200056050350445747222495115933874570446970292377038790793824129603198135367916205877102385857457263794580090765770484859211526164348608651542482251319363855007538855474219189604079365625625123432401015248694040182540893582834093268899439282878282624071269165944399281840453633738921390403774483798780024522428570597232813878399806417159732777746589722633369008360875605963492035511081579975501321727328617208035545249181081329806758999065638926082868343806082053948127641538788271703472966980634801163769761916298200726229343146262360874291023681182599057718349376690465100944686412451256346464911679557566853082983835291215987844638854047646141750333097878181906056598675764045398097014887294557626948935469810014958783278328947723726307826383213515463753721928956622126781411282061710528638823592872324572533861787209052452477027885722301802588819232202331349066954992868307738673916442797907166680347093290064619330126122213761440272306278668464079668503404882924948217490484380459000151342996050473530090681059928396783418472886187285673019366738520187406216099401152633506210208947251353266247376627166269181553388122862774960216646391962448162829337212173693596590013937107548966271597482176575702341451369101902199134478429121843348204064823652435407515213303307548717535907749770165832728160481792289140544732992795278916782639517835920566333464848470080460354100625909044564556006814451925469039006982281232769204053455744745577169061917322871005038104967982319786556237725966274965976316280221203889660604020547130678399491874656104760006222176513417407541333807525432260639432015162637552601272202850398323534320500330900080843808267367143940017829352823119549070617964813764546033192193583194745321365989859323353808462685035737098998230977630002094260687769401888287969532834451114422015205346620392564933813905084469522279863269889198686744540005226339637673756009239677306013179239476167596781989484475606213479974226961043196200199084158012567555537786307210317985447793707707
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 63 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 63 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165548 --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":1100000009105165548},"decimal":true,"detail":2}}'