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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 #1100000004864049057 2,049 digits created 2023-10-24

Value

843627536496705121831555031135461532693078134549375841670451356906637378284228515477190561324185059815382881446130528807300524832950711089972502070228539380415979695111559559332269102565791478250210571883944151581232333755830556609301962466917665274585227564234872461712546533558477810574248369119990375431695553152149388170160793715529341428289688347834336534782528892304574453795087167353726679967150779821468057161904024111767292075383959958896924812603499926891537610869922310636177345117827721615799506456281049411385530008114956557384730820052378728254163397804026694292723512683760118310129604175006376646128672550589393678090101169495642061985591305964909294887334214819616318659340025396245195691384801309213686736635462594178011657531574856698411723287726772268896131860759916107368086535633107368536446826590623324170615347833909383221337310274424644228419741246448390035186874887116266060886529473037749078225058481557562397727673403380752217746589568927473292473044464094381219315462639810380888016708731947808674568709914832095378692622880480238404393117526558375535364923225144549672600935421530700017241625742174557254933782113251434636361773451424280954315525459479261702503081640144527390988302563085405242186396662217379471327552266999666767120301269500693120447051716399691744445923386122414611891750301728299840725976046565513225003078844294689988468188287816874573538662405545068943709872445171614827257601535421787609089864556600179330804722160416129876728688064215698980108955870330271101003674641408461822471616834972783923975370180007899138647210771361597518529152111408985293427422805714290105578041370713003477300402759699949305201425922465258264632351233529275599305098945389811601816748125244033146417748298199358162515542955009603465112959156701415602489178021871935999481335438375956248343207371196185529540549285320525786002264532577744237132873452832693964569789266200242187938634218232260821303797910500350404583999214411452698629873437656481473185759579871023602526050019486461365152828269166571587818342570229041
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 2,831-digit prime (310 intermediate primes).

Certified number2,831-digit prime
Certificatedownload
Certificate chainshow step 81 of 310

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864049057 --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":1100000004864049057},"decimal":true,"detail":2}}'