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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 #1100000004888857672 2,251 digits created 2023-10-25

Value

2455585644840162824300806364931486736698000517987348157131336202002841165603399477333645205589205085023216587360532777365669289211374642602969008126009222189401074081259078206032637682642050858589704331097548729932017241152330361749292344711002238064022772125177400839689921463705093196446232242766260879204092991982732345084282605910272432930126843796390594552498430817882377013092766158470498862877487849383295329031273913136823528792173232506541279096639167749237678665966753072487270294175176476398640074042969143044248416585502233202561839151985756239309220010362353382590541984001467950545720382802428899361260099335644670648238950485799051903160395031764476318515534923619888081033934284501671993056589107093997169760107742909360828282648152824852785210309846032889694173960829116550422576436334773056898565605527730766789056759585720532214579296726953989826497452319677366292129172807437673336524288728846853840322399011586896796876638179398116968720618655334441369466598763885069768549237179770947392603815889140815521603238247242024038067947968410116115417940355927472345893902148514545331245895628600816736209660624435241211463923935319122214627826582985967467338713998404278513394831551514169735106647688789419782103118811161252059532551631438071424437751360195908241811155753448593021431310332831637638413917124113349664139165761515476589281580903151300104516452720086802467747755458491512595087061520287629794346814171603968026127780901946644940888836566783709491239331710574037411255188941401870277235510043090827214800622810027522912587935420732534945921142511187973324066436695475034323745237963059647388950179791907765340598072046930516832750315803488182386284147121593138926640984151604060436951134276151283729909350046455388190235372223323847960141264703108447650844200375452479583987328033730881249939615965762536017819850028237880837070006937967081431266085764188690349147950471907074367642044951825092753037030558585115318076218802455079682088038966990625583552179616593938511383427629502779088895297878134303673715341817347066619759778236402240729581338162627533717568259287541938961301409259465515257421329748383884834674496568973532053706108281671703354151456552784914327393346000268171096918038609271467058791196062509961889
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,270-digit prime (261 intermediate primes).

Certified number2,270-digit prime
Certificatedownload
Certificate chainshow step 5 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888857672 --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":1100000004888857672},"decimal":true,"detail":2}}'