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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 #1100000005812658304 2,918 digits created 2024-01-27

Value

34655827800607722657879913977728580429510142142267726295633476232052169780421220860810433473947892993938510239245607929084227603725263422776286828618975788138262378550683682347114977096981675503373338051384332908902752027966474125540466538191672979577290397626065855082571008001915907669113680786107472955318764696905129927017617930066349117892821582982533401737779050556064146628168956077054455609699734527635965089286706241962015208625464456975159118414534585145638949677869865915307763273189284604137986647678695537370133882382188318877131428395281570479502022912101120621092941411985361734545124921930954467519272005091870912257413694417820414499286889799415349327901578004584445321204961147276565549538521593233916729706250174939989028569142495542934268007575293561634349629845223823916233480509792068724737273125160314743044829177156836666168501720015478829070249374234766483748141540991326791623218804671795016567038381390796019158568092428800809948693667647883564868470778320738767053265162554773443715813848760054269027760621959683384875935483763907146839099836989850924942208439491807493175473337956067394270642039238429963988955693394661838677802212365445891923410991852150351010818810677755243492055635375374578894210101035291062317264618803647656489755259857057906197284216946461627228101403267127783972128804605438614295744251940886967547137743621785923975441009908558047780415723296279811014320975388993711610707367881880243280430312752643891971438524394350504496487777651863125314863165865862547006031357096671844638415100691366198150275589152550458810523099695477359799380608939551188866551407604576470393415163644808791978195933631894272358933726208579290057426188501176044960337628028477241720360232998495282479086074183774590136630505729072221995938109090051047394231796719802284389812590915012611776065491595060906583379887144804298170512340842605980497135187349192739280022419908519086278792964803845735315485615880775390826801309806620623781927281906334961038246246472694115924832505746582302646501779255720409443486621487860019074491450383721616654554652798813044451142845855201169808340592962019421117464870388481898023025144858301279181685998897236587723446816170518406257501284436910968791966364284436692528838722700994137043645990868729828763150049437383393225986424927309332588572460177519025175518206458836902676484613626028364384668755297847077759440218552372358367356040079128691367409382550690867355816431710155349587052279856051945616255433167741339464201346287489757063235920740795667093230443183357908572898351063348886566352232854389561029119251112213308023024602579291797875743170358203653396982284600598105804205049837200988355631593061978732257707462961997707466166018920559443996804726715350475280215575069695604836465711839170785898385020209009355087972366896991414017685236776122571222914503009529316638189013890473751373401230319385820665579211519042376838990261070665282287
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 3,246-digit prime (164 intermediate primes).

Certified number3,246-digit prime
Certificatedownload
Certificate chainshow step 22 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005812658304 --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":1100000005812658304},"decimal":true,"detail":2}}'