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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 #1100000008676078221 1,083 digits created 2026-03-10

Value

100571608908648809945022096172984789629589216380146811540953959932889847951817951118601040740088995684389748212920522586961043656767507831015832391384118024185049083171149223726914009226788849889745526102389252357052635318786871548380063983393963363705197705742981308246785644243724656789277293652766016081508801757590799689988673652614706990715350106402310660651989928215950295525527850128648259688993096128210877451329990839473411122794883926579337075374741460757205753202011970885512311336390317026529592965501688378564595649681467597752102952455410816715806078498970905340501205580582719423178063742471514137374058241541612505285083002081141069373382210531011499147101089150787145901095249452794285896347554561416412787939589224059347406839287028237608651512790590425403379877855448172299822207688849907569138724488226394225559963310088752347649549458852387904712577586267556456320908722475417575734430320103562949811562240263643904834049067300209202202933691912435942934823924038763932384058706123757884575761938738207789411172172910604339340754840049538744901785288980727817993
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 1,242-digit prime (136 intermediate primes).

Certified number1,242-digit prime
Certificatedownload
Certificate chainshow step 18 of 136

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008676078221 --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":1100000008676078221},"decimal":true,"detail":2}}'