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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 #1100000005814652953 3,951 digits created 2024-01-27

Value

168021093711585993688543293913848032378270342596236257371920347464036414771439024024689605708071495103094483768340262994482329230034841679173309447749710497209033919035102927340189886474778191466107455493536226069973966045000138226898415821350769188668657548053879782052422412588844373824154874861033037246126052673382906043789519115644927380392086233599173390898550591332092342409368535667632606999063004309567168960743794694666069255825630838299683931834596783702938784088066100408412343657057310482344597557374503499896860133972269595656472995985249936142915848388364094268278838692561433490116705709143358964952665855066209896277075268748045964961525817801464848132817054221069902920714346406001847244215688580800578028405465064835182162067789681084559018971866979311442597573340052412350022384211482413069844194535016368620928740615970642651250870008910475949856796466285436692641254853236222595913800497363094357578983373575280407491034930343988698395179733826879182824970692547433372698729917113448363482182611220238595838260107117373121915411280572451172498343471200746177110389308483060124860113024775478916606439644107130690419425461716621323603700655882691899732589911197193949491355657353032364827455751550334340703736471829727817814536673218412835481494418573580471108235396361421462405929963613131166825347605685984764495523260698545330059251069061026679836888265665373818550785698391250590780678431967000753096045551667434258176776650196797168006647869579532433825994060080682119032210723569499320368497711083539207713906557018592212048217401189303146798491044988362878051775111283285724304972544215356850265699273121061527632804947161638437107095694903337377913952918213369783612746588969205251486890779109655613499773712644412100726554901312365228605428133822778288382164474634121488754312134691903617701624717594690766413388648516370276465834609021774324398680568548887475216236473355324027638923866847776390223323255065374031066730096555486853914160940569816211061427318840788276158982325812874361359914128017530396856445592550184317405518084448110553221635223127062232769376534382453197511998580279140000051007694937072558961373628539127857713808834220343552885245352848362524786817079302445781380156645878787972127137933510251310504651259890696591076821946625007871532405661337594998431910838438957495031609545854583095298764330190395626608190695258261831256186163192724859242237856070902764586505744732411887302757002399400615363590164934180921046708590282402644752805499926508799069858394826205475391952120714954414330910132810020398773613490741349437809793083222410708180564096306573520792778291825677422009629440763690619233108163732791946866332634026848925592007532793734480148206840843746636808675998021655058990223834037089182983407918144711733733102506233318360161384169916615235847016972374299773910972355748062433329834183247792097204158497164434728251190576602142563319459313485007903423835090277793954149430256534221230628831193383053446759156208369139910408716791505405847092776976701937625439034521296061021959390509003262664041942920760105995625816112962613742279936412976885900936574023636178475670872953942573311293509856529249315211551928165889557086813427344567386444486660507725398759015618839498615088187830062544662999205265386720831861733783901101787612513081756250884226990694829932749852199780213033695756491126318103160183276215822407614452194085778090648205012407237677370153128964694641993924644931666132370289413302362209701667943884315115902673325622080113996610955764821195152579412616055901534931817310810955075975969374370525928214823730654052790653950372820204019109267427688949436804615133967802394457130148806677083797114533926994031166769807192198425756942176116343416821001390284503857430658111567991105746147595397408599446103716616627236710239574626761851594413238719818778126182483275477550945004227872269863449059502599768103113527554727206970352178417453464113380850411649888580975287389
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 4,404-digit prime (265 intermediate primes).

Certified number4,404-digit prime
Certificatedownload
Certificate chainshow step 34 of 265

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814652953 --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":1100000005814652953},"decimal":true,"detail":2}}'