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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 #1100000004914591345 1,725 digits created 2023-10-25

Value

178969321386211768170067214999189768561145986066688109968095488521832022448002309376097022696689719047630847140671797650019185340507445416967013055085025958087478694940630755447217645392150607109977083371541925279386339417902570305847916388721014452255852966975103571516547917735732465092186095112469181807666286379649598821978739211317839700171292013249348913990508099517602484631925616331153969083155066482936966169063897000443132799177059490677486896388981748492576468897463221684285842641676819290798263428525095117062173730737051904300916577869402152169117104601473972837015429343475658742330112548322506571805181898239990899300047798656587389599619100179440479825691803514690871328275512358288280741201723522631845443004944455614658785671635950753399592789434307185975556591998912373584198423624156114475054431369760862441335645573823026097313806180125189462073999611001964992806626368640015050370490790255336549486189496712933973026352108608329102792227010154368797515168976224089397429699753448333992617188146229372291180711651578198661983075111921072851656288857172428009238907312107533700100960485646442911011655272947274944153127002267846288238263255335554231172491006841783527620606643917629504817224398717780020082413923975573409805708621618781252589804441619795459078235635681937520351329320307784894570333228954252755916094428315038007296616287647353911818586228172030253408430573596000351376198561764757973368750788075168994695802487566481409278647972699612144596159273690992502429807923681567755231857699166366408230413804888260639847433654855980029677228488173363644538761796232334070555654036758811532473351354218935198078528547252497957187402194708783592630352402667076982438120880415546011784625299349619
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 1,989-digit prime (230 intermediate primes).

Certified number1,989-digit prime
Certificatedownload
Certificate chainshow step 31 of 230

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004914591345 --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":1100000004914591345},"decimal":true,"detail":2}}'