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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 #1100000004835846782 2,784 digits created 2023-10-24

Value

815402405521996641105934933839743499432959494207567173032709025028902224175329175763272903188757572548730293341587562765155367280629869224775149360870457231213914580308485795538009280950060590873896133266303254719616317065730415691836665412514515957719217023587823167211609726281141405706232864636477121794646342722540186857542271956765795750422880409996523525695576676456741848207306342162936790582881277260733084168734547988676245442281628242798749343360420448373403249680796236143972631041403457777246432790634202039912062054184114859623905660015259490483974129519257322525477551901981215219817387024371200116068419068869654581912995557545765887020682008448043751328504347965566362752629031745871846721991691093591503210051868095587273016182164218005063517928431476379696643020632496052794308963371717963448318014748976978632703176115983880043728215878607531760960607940613393497642332358561212027393865510789159055787636024717967970500843652510714666620192901387300834916804655596770040460250337665233953441179108142058089175386557341023665482054437168295328051672484391305673022309731009906351366665714834142375184763420029394899715825323135182654201759025677904595991248622411782579397150778112049708587476557821228417251739529047794792203694642204446238819490468217482908532896403738966189688778437648374217257884124198537569515463121478433666738388438290217922534466889558038592130190540684836622041977671179901536352143480819258891841767388797452733938386176011429513525291854530751233253931911252492691336905407008671199302887182010404554735135220151405320672310284427641244650765009841456722949172101962890191607110508581677880370898219250505775385998552685562943100851868619082883011452796120950724045925644766394944053752425627199552014769600262975698872351063252113657822811720320075982470201280351404558765912700170834079812719917285722094117012808189615975172077688911669773711269817568993901415594687933644710253176045059630651046830458747563730920361813248456512624834700217678336097503650568602031877912347813888901518839812382116874613605147295539293649598213737529553895098350605739634553275633463852433830062680869689602039486425961638688085275314730352931152791988019699566066511201946545718087572512079980398305802385547676903320708626589234186474712425797318210154951508045707756076717688980550728267474553863022070430441077213612112167994623184077372921214603085230260446466723624458447490697410216443170214248826777304399416294576493764960161645808787076142332558369500931057023776242056862963398671761697647307266250954571485282060438400215649380312567021478971112080706937844309952247503829067608605548739617876538071830218447438080057514404944904506329493954525992340961896040282600101734799485856586026649344893637704324320476094093426742732674522043681
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 98 of the certificate chain of a 3,683-digit prime (410 intermediate primes).

Certified number3,683-digit prime
Certificatedownload
Certificate chainshow step 98 of 410

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835846782 --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":1100000004835846782},"decimal":true,"detail":2}}'