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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 #1100000004842738202 2,723 digits created 2023-10-24

Value

13938128451370329503726862726929825148981793422894422169060427855485590735260531041002851862001831534607471206079720003339264657133276830111195159960521068301766787400646693058773470592251893785126193577468134514098830013770840895967488695370041007712168258307690380774991737254006705179217239563559098802078625578553946870029027313553060915812478769321533187098799407594716420494092892692961031973151813650168573156103995515080678823438207984798525748057922340479640379544091329936058030578008014691970909080780417520608732771015718322951522616592698993848218198753470988352310597159966573704262943551647827568609128017763965771545496216905210391647350764787328997150118721690589949306164929835761514511419044477514785833636744442483936198050885234791512298260241459876653247390249244161141219612287801051771946441536385893131276921097902823658472931405563005958404212415224529072425069312940596664416695187708955415446467969897558720783110817177684839016505197712001532288044398455599767537460149926851882708816526845332598217829735088370393427923430134288347837645959109196186985999834349294737115617074492362049026822784523420521418410263616035726456985957166801666413852372020426937237095850747332753241080512631722910109610408387336411120669863474208616293255865427007879353874252161092703134362990647911609164750448076138662893993749497699088060325530703122559769925735684564526780424916254559460095419846473051568756130866954538549355048093763500122577078088603276457154765237785820996102699272125776474028876398092777106615933760025096402649947418183004135923669433356388992404013027143716707292793955582822430193780921801561079344582107803399646832613651078491319810866919713371914673114681751606267725360843453801719765942437235790126640616142416097032808369797592363644629621010447062062643864925458593913067456560427613553607326927884787380419051064812455877583013877531362364516576790722912144813422384386973391178380833905932381064512974196914496429536404166711906998276755779979335584215535621757771971368739427260621571471328325757173708134995856315328671470173924685264672040075727991210598263743182662487196999326726090031371483383338424621371001848589904548873314880417397343915684455852793956018914089950308539222922105456551979856980986133011980210360172974001155303433198034392750756903292042462906154378083091675412113032895382558497259730404146901462501667102886913069267201770774298557645446012646113357618662965379537422614129277769635791289880234854352698200737446058962502381686529774233060288213959582151276731765138718007199367416256843887111866898350869483220418992637382751399591529741417725851023329611145147163587468590623918542218609661052063489666788713599282701245321460713333018906751
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 3,395-digit prime (368 intermediate primes).

Certified number3,395-digit prime
Certificatedownload
Certificate chainshow step 68 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842738202 --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":1100000004842738202},"decimal":true,"detail":2}}'