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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 #1100000008676271768 1,946 digits created 2026-03-10

Value

17657799917250341458822464570568214873776995479031992013574071285578311414399767462359916574160281256901890341414830454896187900046532434055216358152844015145781645977834152036942066732869296656568923356296521827603095088280970657032680526095327926770315464500727592768163036554618446930320908689716133050821238603170498631283724461900609271186717511340072084484496518090476152766367786374479810878413946409698937635030211380670196913328051518674299190142818092926168429300637771926671681225237546721840047684885447869089285210361095992591826169937377434020768243414745153423589732356359312748517985704739739424186667615211229761537785206893707327027005173740380220534762844993984806616763121504001163354429055635772016857496575053720310058449376429080480513380630872183696183502702106420211099166504963143245413927031416269158279857076610872018932238001017879436974289919362861811841043881257308656736965858990040708087016790862199499537166022391009144698430539330199404131904698120130336985500834800868726885184986666058797372521380172760654425434324548574256424436081939251770114899310497152815097907561785920484472804919148460397726672097376540790212707238085661891215495032775279803416103027972310111479125358839787162877062850062350558625160601035993291378826461031080436250059288228890331579472485937289931636748727400486548648055104862224759923355944735845073184853136187589716068993976156115532980449148968541221847089975636124964879197575029218377524681972224610560833028028512622909709538747746244123400247663357064580252323742552872544209970294918245100736770334387363827689832691843145382021245995571752130153770084470235055004487389732849275509250892663860757433021639883633746621333295626828061614050551771937165752500862831497324839319234979252130020391513178938888009402183517542906002967411696303557351971991228159031617042970152915043950875627950345763451625271364434822896652525858626061408144363842048995980980547526148931093
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 2,915-digit prime (222 intermediate primes).

Certified number2,915-digit prime
Certificatedownload
Certificate chainshow step 79 of 222

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008676271768 --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":1100000008676271768},"decimal":true,"detail":2}}'