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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 #1100000008753399169 2,642 digits created 2026-04-14

Value

33781558436643258374403101305057679316112626781894515549374997402295999865529150807186229302262339484876738070097813321636635378678109830926411558817772966912286288224892308638748666644480994357595518341795493658252585416646919057424207649037923649611535956999266869210497504332547898023881963750468362709808213422857001494395550654446636513012021196537361754414448125498638536379045061121615444084458133896939501159349372927990735565521062644097497938886623655276904816573388696711257636020583358648088984889613931211463247556960528782113209534800284690572335723368033260228129237853945692417498840279422352474638315598554948096680295439575764892012730519474048967265795657915634738623564723357997191859015267153291610415593202496375891046208512440739794925171751345750628733560520325988867473962417618554067736989906843284995501784621305176725759372693071045641671293277233818252141944440201532495528688386755990972716294449425340611466073218001435646102770186963937175442289599546401090245737390778303100217897602658553615851570621571128477417310788651265826640383052535563276083492656514297816287608383665462781673945707913062293568841479626775168978451701752228351972466677127766536139372335056355904880649017113153902264700619070911107187016301809629810570837201526602564333487934659798276306865590268352626203428319096568491096037629246095180984452516047696317966364847097934866662075720074242251833593449459677293547726436795880026136966955357894454238480510568672262207494475926779937267134065916144880536296498655975782881155490951795466273645412187780935981089005433075029402964240021747091336870747322366368041077198415595057077790680648605636443670974652739760292398999495026383795019808712661066219459867496796285391321462856606753314232794614341436092355732616688780915520664031842066223322084098622496992542883296171378621191773987201809649843710310711085794151837368049976178575631142852697813139122170490401144094234400120108707743072982144848581395911405075307524096053267210333088229589207364268501993548244018980745191268854242930520409220633740733642033756766502962696926300985500400133704576645186172140103630556985098975360118912339084274731592519172318465409338089864019079782786828556879739791210110405505522558121115660378118152086598929717279177000056412911781336213105556296280532665783578042297359644641693590786738358693462595901484522293271707820963430569714084291951081277677891143280780802465247818988415328442739446830550069088879680466656789797489193562977783644487039520214879366052545612932205057071121605478067997116244299742958278422062512306177079287679125400438394517382481952157058496463661150501599
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,746-digit prime (208 intermediate primes).

Certified number2,746-digit prime
Certificatedownload
Certificate chainshow step 9 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008753399169 --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":1100000008753399169},"decimal":true,"detail":2}}'