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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 #1100000004828081765 3,564 digits created 2023-10-24

Value

937640608692261412519841011501295205625377370711835460067752660657917188659991562496438403499461153957969493547641925957602782471199198391148566507362368360451686109150967952001950291395069364445538932665440511967379994185622302898720594528131775894974508598570770963536999184460376829647299818243816326916798008207896444132774517362141396344193090531169570615797264479078421645659748189019375158529346620545548963285388722911950140337077117738402164686681304293427930144498327492837387717565110536769396008133093837964767060669985335455008445457998349738928266030383674463237169884004067663529899689094813546032019445036291699901064025443669848447335586929148790987540439856956968609222228256848534470502612609865664001117020407432104530979768101584385512054858805948731498102961179282633178402885848690750528575097787318261996478781067603236465292347755403889044994170896746508796052780932735001081039704711781634346241957680294948823728050499693832148691126868923515167227806632641577100781747467894446750796189375280914380253294406384136924778042698489333155662300907045390300186014233316484735678674438774752351901077265360071603218584699383866307794467330970400821381047065164054786626755937895745126377086456877215523623526841414837174359040384050610320662424117113830907440346690654796607884032988887095522657980635366745610134421962852349991868549878309412365794342083789671431702176825527863473913046538127432190830176511357316953347254586033370777983276174111403651955629794280536870296929227419877960630225237157779460258984135555782105125317904937407185682360583502202192353239448183852181791414193585027976750900852034276812359212328364946691911949247801774238109237991096186231813525319519451310964816101928773870093416859573421371434095597406145364380353715197575590725964183141786368821496366625647674462203867976822201266544259014298267025955067393589423697559514101163740323330787849252664376977203980570026244929774915101223732600573559363963274875187423670863406840262499977817757027606071834516930251392058054943612649664621946406585026908527841884830292908231713382351636309981688373378409268905870091342479797961102740553977787044492303923963315137446731353849519770516183238611917845322144362701809055876838191068404348615330438585186216053325110888948011844756979323777581687811397757439560704119682272291107793222964865185970844732129338582190212682955364727275635465872651065162861512466265857269107861968818351874515714140276112706641159375978212247990880816756379676450917481136076640982258903021920421556966238489144271239455285736914167733529196589395983965230770391111786630249359699004347980129127849190865803343596124184035784035855990767316500136323478326628181851098198119373137331827750813059908835433058938686064864109566167855640712387264783781901087995118122430163300532448692011599327780033886446977037208354941389911182861302316907888760504504224918939447626223849744378995363369206271613490752354539856009318974727107477677939614333339998968870272882399724218537385659850077588568807674303562542680102286141522124200264113372236772862750326967218395283452874121759310971153709335090492282806810862396517354072286317728614542850100830493601718095255246290534510208322110373439433402188083989133465436144827706316501470717481763903002892200945319219451541345957932694146671183008833081109678300231939981358160504502805236866461068693503861141695314646744222347860463812677297615216904316907311616314096894917076473475638021983465625751981241017772503863835104302496344128576288255092253952195361434151174484319010528711677
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 57 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828081765 --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":1100000004828081765},"decimal":true,"detail":2}}'