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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 #1100000008793173103 3,303 digits created 2026-05-07

Value

498302626724980592359430791036790676929786803884556767395571976168948950727756594786466886012649296477787482804263203926440044988330359442551885267192034155200327918674244255634052248426735027111590355239555467699745684220730990264862094794827488647038052388474139810649007418111614520357469229659517587900012233226055011162886082353409051177764873009421126103700049723933011771188824212466893900287042208156400477524875144299803405482222242519967157305803635229514379451889157484424547731208668396740223217563149512563767552486072112695716091597037881304879412969496592288798330683178142567998977959442405224161862884617328302002240216255230833947957985087810365655745892613380923060181196094023169229584212171066116608265128339714603061206445632054053847924222084764922690574715468585036011282514335515014598799543890530120149688886087535440977213979496482938304871108451359790239189663836177443198707841448357229886252598031314962305311636716049904199020012474028362320860975427976492390845523270687228687694910999710618908456491624477563947502965472430620358931881143969604490095215012049821243729003966809268596052796403479860847646758276998735859040577183835600338882969830663443991409219812186769571107946262631345316376832949330852515348825325183346478770087289377165327190799730272398377927563926592672467849737603201306327994745893396504888705943864601117745024627944638129842252650448830836955107686594099308588879682115264817772299971254127411310081358458574510082237128201789672777217416362940228345392676441600917015318322436509038193601879737537702167782856435169588655812065843975249749108035502491874918941639081280139729702289965841413128262845592500610896368155709469849562781885083267534091569849252907027123779119529715471891474660872028887417226111616865928760402116219280182322596438631943957682070295124892852357860681915683397325817719574743621794963849504150614880954484014521727805473962005928989920911802523219310423712725412649411324965146933882685433654197206637511267197358536777897867732231790314574051776637065013379924398176793879419504581889560637499228551284264545307907172471776385675532109897286164632828300994342622955633549151924225442273206072399762983647042941753359908583714436538346273651312841786331295091479208881247122714761364447987427130361210428693970571324310650179093791560885892782863602167009852606645335642653918761440783587604012698065686621865707054717803048672782038882766097498742510507502723645550708628229664406551856627762499665509488661423041773612083842492257992955502165874410849883235759849790768246429953339610960095240010267071024978937939992321649888397045187564857580137292590167642179030432636695874968892354830250790134001450008703250633729071668401632906739034715559841074793606830167584658741195147628545720476353989103799709099800839457578473966935525665935253915232062560532745371289035373846035669872181817712597544442432212054722832091806384809784859035482281442119933725335282582791454727335606462314203778335356534264722757864209401451928788615733882196006746950083268702995866101435602383794766038416232275229952322810521258980236998887896076096704101573985665658823191270302764515780819265311603103422604589476790469148308281909148861733855581527487514330739503566757979416876701011046730092808591525896298832686634905541
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 3,895-digit prime (244 intermediate primes).

Certified number3,895-digit prime
Certificatedownload
Certificate chainshow step 39 of 244

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793173103 --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":1100000008793173103},"decimal":true,"detail":2}}'