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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 #1100000009079970157 1,795 digits created 2026-08-12

Value

8104513635235274333920873410517735223723319048731614106080825665536679895153256545962114556621513255555549953161929510038887088207990651375679437249898957551852266658771436374825980373062640414517782855779942830774375906347239227163651640020233274632989035286723688316464912340219876815754940488185604836510656220751649953266353236007869530173193875874829556685549294275667637732392055200833875817480607441041674858427776210376313407533636061399846677106750531508395364519977750228683893061651980640012277458323874156579207452285095044644379264252035216473081224913774690355812477115014927400470566485252978919305796524481967585776075202115983090923225432588419278547840194546513528060103320222205454952582376940429828021337570563289098919963814649961497726098038162196002097134234907399101738127685879391770389513907479176655068269151259765388697832539744894418512015651944775253920690614684674832217493205542299293961040945655703145365043280750290928045983705476518623784649419110706361030110018955901942808260130832210071142184409445636337958154033545572733769244830401873025722583025609016863471327286692935865149114093581840468145804094821802017187245669862332352867819753325590188684317366689862455908430535461002690298253822288607428549592073222966011222404428797244284712803671873515345969119540486348360870897576494708975310046546124053681901574296082498033251848844504089690153048876430976724953791309063339048699294865023679828701997131843405954830763111074520712582965541428209755252153623513107128800173578926081753639262366408914855399234589413072702131274983357585050932072647304500099643493644592366621737304266890966805574074036946202740597559597913821209464127481811258817487497339624361856290873256379083575123712958033919710280201826686384626826952503195178955091365868000199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,167-digit prime (155 intermediate primes).

Certified number2,167-digit prime
Certificatedownload
Certificate chainshow step 32 of 155

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079970157 --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":1100000009079970157},"decimal":true,"detail":2}}'