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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 #1100000005243738681 2,692 digits created 2023-10-29

Value

1083405984580530610828557021451507496259203636847073985641915389583899145433632527515450830565570366555616328979342281015152170944107603368891386328728445655067064386142323325062162525064486560320126824434874979865896011835162615298236282445356912819423593098486003522680691003866688385080034709459959022786479197613660095809711020581830046790231748461877694679155452846952550270971530302570371615057104000920306680277686703093257272457638054544499300588479769636446334007652637347639029084825790480582248590173185908283200427765452177238255895541855533403747105562932337282203590072090573375056246707276461801708680129014202513570250553827365322565135463323445435404118555799484798364124672632416392857072063927622311051263368344272683428157418377205430623960914433362293771512469608730855241155000359030226164529492406484751075070547818109726691350571525431999251688382581335479836279506600452256415137741176301654760228478135223250754597791111994910610274616483160743470773453794694872484325316999260345413098049389317108440432860268340138904333911222875710335541264382416676452841493344394988913461075230069918810835151631966557167962939300384912974724708433362344805251795774965412913364169524112643883815375195124433650236368738877835754571858572377813960885657076706510271462938654386783131622190465156054198030268310704913879642593277265760520873025668499496458395920333446410419254607191235820697859961448250170840419884198259838593971747332919699484206850446242968365730297449844270756611018870115538223411555700406160837622405578642132641901724685512296181519987547864180403572447643552883734654709009371553136072252119678044588423868742810809953439839337809967606707361531158579078130974852770984578169078922803982068562883281573693688050148195569448437872387685054389458517237830831412692568960093268394543575321401225170249483854519266067151901105044219506817174073605902534849282056675400448090280287721642768232581927272968036429512093936697888436584769406999102722897236707014325382568820974109029154228635243654693213129726225667308744067506596978901559535541794145172187484576760742933110640098107662136056812788885264666383351340920286549141277105020794696392021621337277104043917455168938540063738187278594864849169240290222829385287560824278007072678253246799488352169588094681000662793172019674987221833669965958663621573810387070076150292369855872048304975877827482270289480342514150159716090447503281565491806557606036863591982639828673115062582364943832237498901241096464674048029015749335504321204908620291062234606585782832677986934839753811308986645470746217662868690143232183574715303512647687108405269497843751188497072014426170333424180703481503509434788021583
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 135 of the certificate chain of a 4,224-digit prime (422 intermediate primes).

Certified number4,224-digit prime
Certificatedownload
Certificate chainshow step 135 of 422

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005243738681 --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":1100000005243738681},"decimal":true,"detail":2}}'