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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 #1100000004912872811 1,623 digits created 2023-10-25

Value

976506915529177685970260585618762612779301978990484675131496551870468429277042475658748502626777216858252512212999543725982811964443552312944572787181215452059937817588344621765744067218144437190956194730039887024353478663796922602929760412012367564317231732932131853992391755032910849076634455309379507586565469472027292600261657579640446477356213062584387781177697803858868021595990504547255666579020040294284484316493872152824682161001851531485049485722359804698094114230853590977935710181943939531978158450718091474318812844496746604522712911898779961291589912000827535699996351413325805772982546842262444658151387216183538250034631928508115924509761483027952960780238943320011284840751889867562449826263409874243995543289177861240131658499369128163470315082404812082083961811520875343878936166036656004424624895947657147367560216557059328005024171750734933361372586099106953435245612938455978588436027447192897404241120172211956870309186791444252359365653258807089300961709483081227585239221242179866456451742195441067265655408415667724490146827704391317325268580213099323991106345959482693570744062023929407135707589268331616847346040848849926649862792441610201891418912899615022939936453320511329890459473652191608290739995557569896146501870917539628435865404977841018256660053841788432915800221336818141417528126272003640615235973709513889473329040411526864898648269260623836510197725994290105528420201696320965128133751486288133710523181534755478929186605083634165094706254407521854307549788463593302687061221327666148200278588614067959476368630237641013433449611713547088322229654859018530370241059204034486098221
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 2,000-digit prime (266 intermediate primes).

Certified number2,000-digit prime
Certificatedownload
Certificate chainshow step 46 of 266

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912872811 --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":1100000004912872811},"decimal":true,"detail":2}}'