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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 #1100000004837543752 3,173 digits created 2023-10-24

Value

53443532278912635251765935640785654808172189222120276657047053012233156121893335612457686554081831227251558440002415619361339723408212003453362216157752427399890326421334871279687438279576211710788750325934954020073807302958457406478185791974988947541435466337740819759162899558893412754593877530472777074601422329236709380387495484754345580597804081091194740829447319194998608168968553148589698388577993471017839713922880389935451764061751211704687039111366812114116213533717593248861971361033077938869739369809455130697654747464964450315123331062421663487048991810240546179846293604277705309729127487543524743600347178959859309192780755186149900433264721889899359757813441443413953843375731544783124477931057456718611384542463872512763125777459778951902243673823836803534137887181354794042321881172528586379713269756506741859894670699748398733304293373588703296014526397602987658394486468493028897233887732788292827239948556619980511943399852220260748364739796933389984278067823040002883063428940037748012277740847194362228766606237356944901435347840614917065689617112226774071744940565759418545883382664530682430005227578006933617093317077212455947469421145332375757837600944838422213787332695029449439813049544211780247407838514401031053741874909107536214141994172408116308904215046458635636519875953808940729568383368040792156963643548995812824208183692785895917419940118216403021615640268927943865832817196413397663233664447470634881832250265761844445973901783444382962826972810820340655112853377069048053198162433283671592829131074713750623735431386030193307936831203596568486282653787240325415250465843690620109741801569355691126202101416043531039704047166676488100249216715312777974636547097133932918743201200637673059875994488068213123419119732241563695880646756243693263517802962569454958145113598220904360046537148602452871188650976269350924465214548629057776503840126247085982997686253437126502779524269570162931172279650777197240128732539510384944213980514658273468163336434553129368231690899728471891121833023604352759980039172979717153546775659656925104778460062673873737852435477309385077630867212465233071622884154297459841239525368778539340038586782169373086594959812141212896051816837163660642542758458241422309573555516829396528569969776753032950814979584816588146620408736733441841277326144357000050629764956986847604387841591816656263089309852475107668997524693360909594329570973358612753365438969784495396392941127634538612470398017649028842487673075439496268085099907814492110585189788034794472515528546131716539575109278565092707148092414165500533514042302156080967483941710644261485567793180680483461199622656114509370387555974302507084070546871511899001072846510884145740296390275938895739910099704345675310480770088578076374410888097739983061509116819478189811918844665730319509442414040951326251408873743006266679744938822117812337402898236583286616960215233093103768091075749428208842811640509806549109897671819937714258254298066492543824897518603063825860493423910143114814948448605447610169591200229205465993062292012534059972660166232722755801201573169507041597457702555441980613879785803051400130138111815155126222831559412895325137164143
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 3,585-digit prime (455 intermediate primes).

Certified number3,585-digit prime
Certificatedownload
Certificate chainshow step 47 of 455

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004837543752 --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":1100000004837543752},"decimal":true,"detail":2}}'