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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 #1100000004875248131 1,994 digits created 2023-10-25

Value

72000820381064391610515940615875601900652815866054661248185795163139628223031171950947206682423328057299784372424431074665224805309405759468680713548158230722867809957615613115024932065045222867684517151841447807832994250559213505842420172927356856510267922029656816352403341687101149340311925420815627929372162826623682206028551975958293611609952738478145652208248006472746384053597627988390934041747647277353392349400524441831282261969926272374763406685055265088945075703065902168808874292507287252624077022322262861895243078637252038291273432528627596531885540147363361671304573591728347415668774816213928061454140019546869994524802896232361195998345218833779242171419474157795336557805086512192369240255822047592410844663362873197624428824367254627820389367971921122080544868144602630343383373895458435387601941474772414983288840655758340533067754401376525478263447162963313980297931742304933266878540514727121127768510423266404268878563956933260494508979887179077804158913076668544938062000982185165495935572839196639653272122337852199999000730105758586701390344905543243005909943851735013352582081621948372116336142435887869375630136880231070835164126689553870929999974293767768055210289957244325717248285633729289791116040594207694136072143653803099753265934788036161686328444404094083248030665411115441545504082085807804280571660871333104358288773748376222899643481241817564611087235011073416699153019841617508364338550225594755712695702079264209507064531405448434993523519072077896849500312643012961707855774759891722338925693191110670754913590479820802724790794524638290595168888460787025967258233191461745922904520809581782651923192275500357408543579840342685085887454961592861219189314085349092051730560285012862045507586163572565081966222245865422410004098301662925370847764156187467342202087504990952288328992783607322527221437984965144331100090163832981816751731212952457353885519715720763169665147068284754116965861312435426457366468875416913432079954603483794736800813017487413
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,498-digit prime (325 intermediate primes).

Certified number2,498-digit prime
Certificatedownload
Certificate chainshow step 57 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004875248131 --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":1100000004875248131},"decimal":true,"detail":2}}'