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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 #1100000006886694158 1,640 digits created 2024-04-06

Value

30604646344977889130063946143775750892557413218453086680403548369769441759669714103992827949960456821248776889152723385187849339003410149834926340211351783409380234595944815835714283745585519490941244853642107132777571312349490520765466056549603018355061665461644136876177362122540214477193979196287694492068159614897221589272710259579013760043179368715374308408848114678033466992751418958888741746758906366057989449951465799410980178208997573763299829938691482158399687936590436074600283168704523394218302356713625823965529898971946375503560901957759538995143671891031466449105248661469208405125666125483370579850071194444307639599214344871762755136599980580763574025152633154284664429988310239970071848129619680679194908140618172475989338338899837072412233500006728203547357323849660178065283723004630604247927031310676922758997598924286159787760616415989195442615692905567292767145176833282325246576638574370823746880423383161984784452137126548776818990185985881230709129279284406757976926087236113028023486590877808350092732300302250827455614309214371573123120795264676401425527889309988799822974929676019490096697732597572185495454180743237697796939926414034429023390348288595722484369503341320221736251118742166153892341088322213668116321686458761339101482136704076123570200363890810666102273691590309444219916950627699054974081489615465629004554587687702381887410589903470205262611551930390125450783233442453743958448801466902967493441900369857102200992800887976303717908360369649578936139867293827124112774829340571090674389568993723647247357957734958671912118575238896854917832783821924533440304071861257657625420524553617207393779
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 2,034-digit prime (217 intermediate primes).

Certified number2,034-digit prime
Certificatedownload
Certificate chainshow step 43 of 217

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006886694158 --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":1100000006886694158},"decimal":true,"detail":2}}'