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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 #1100000004852663153 3,040 digits created 2023-10-24

Value

7774127838772491004435297603753158615139749670470915162428435408156156553840957106473703305437871865951549798240589445123575017433508274373523823700526033779737465549608652011002923076931205460605095216183473276095918721416960926456749868102546853971954147005959914468374130245770340089966244927150220811665158365167951535492060764295792788199899280887857676690171275447663044593810891663352303715463775736349277753986509602522837738917935248078858788775226127155149779780826398085441995769433549193575368150312768318807054978948630017415274193962418676331585248984808852250657933894802315757331148259213855870200857915911651151998050394740105066201602608752603152704937921767193494165565176769784778726336062617821377536668182163739427542934456486008322599977654136519680108846753100719463890518543263790020664840086542516199112495299529519794125596302018524998318804078741982505520949562822600121563065111152597983337315105585275524681685221946366519772488609634018127958137866524341932581224868282332563793401980757002896256281349865667561999845837041269421349647205380685881657308405835766367434832677125057016481975789292333630442106537253353400819879699157791564370810174496393464010993825272608445815835892723317662854481817423536759186088316044950906541763790181074190848272390219054666831495685983148911451220083197420299883843375189460700039495511557325557205383814355623250273742315809997837382029304157455697610345980266900248371432107600371101361317577050901797153617056268650658813518925756829141934914846785533062139083618756560634070968658453232938315030178864997805856238424709960834566979388198271321198400428859751177846717435211835000904207892107858672172739740080884316319499005016873530332266389327456517374832175263030416849098284381419603870724242388639426591646889485280485295495324458154991438465330430663708332746065851454707494731810838682109017485067058342985958387889735832111676223049265996115663653194518770770403739815568174908952890619123223775188745910666902032900786198951366345001070087928272050364044276111357521800846010696093082384900073718229245425185106030338931451867702618345214386226436281220387292360585862972899415259576678774861257873981456910452292184864351666188829805882487352670864636455077493274410176484605945948133823923039497198178218403645753769325884264613433067583771737330015340032695051327000957504171478810959297412459288731622852258300651621046683581667692258320868187187341986747024758541962782003686677726471162023671801339117856074420043863385961001656459763102389717801102771149296065661377739658867216885484175905824316635178195548446275311687285426097720238791986402666285315750131782924048196321418365576860032316142487400923855375315546726830577082997636137243287582641865270679897636434599930940639975261917278882340683624492310714551317657820956987785236093725681312130442632113733859057860419970117948289973468141719106233125571332586224692376521798389366764302188209703126308355412467310779589440301471566184197015475912733399149745804453156941585814894850853472811
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 3,144-digit prime (334 intermediate primes).

Certified number3,144-digit prime
Certificatedownload
Certificate chainshow step 11 of 334

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852663153 --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":1100000004852663153},"decimal":true,"detail":2}}'