factordbrpc · fdb
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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 #1100000009052042198 1,428 digits created 2026-08-07

Value

191461461755634559305399964905883355598987665938538466972811641977370219845504208910062616732652932990459668913933717024453507114908813801309561489872674535470131536066990165576517636603989128666031601639877795960613039158704606880423411722154405293231550972332849656919134070155205783473401598710590245016734375900916183568940111790563061962587084583088833644142959514624988123557504947369059274293948103739833160566833483020868894675218842147485816879911196745182724821048798068728501387091305602618246731719118242840046926426945937730665064747245976209862413111270731428004677231304781221658964960854956676475574452299375505383333717719492925251808486896192963607038155750326309438748914681960080517905876894723392462338298237841009775689890892343705964976446439740585517366168661860826294646629148581435126015111199194946007123429581173580556692578877481248015962242448010654935194062496128855902420651272858324539451970246026077548415130142737828170663324495105647418063783830508858765004486744662551353447532522498684454427398597743364614362475202902658488359705029909179530488129812918360679062760191738877511394649690954808742321443082529795935794055325625405057293204142193133448566574418154613607475806704552749805071087415080024691515078588438092743338656058906566981338220470591469612093773843861220712507158142843743885167388195707127586791106886965614397643648870463805313632918733456687451283852604715572536399287
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 1,577-digit prime (129 intermediate primes).

Certified number1,577-digit prime
Certificatedownload
Certificate chainshow step 10 of 129

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009052042198 --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":1100000009052042198},"decimal":true,"detail":2}}'