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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 #1100000008680836353 2,317 digits created 2026-03-12

Value

7870727574023472480395558452297079342911407225926885545121265473091996420915948646781118880339133960034997318107598800516070976920095630683206780946630402836335671922400123000385675953105564675378541603603062486473329665713594460419451192265256945120578127540119937330393747861945026519822673508840907328208161697016307093532998402075081421142268734230857159138173617938540411908433017504742974730459742402329169458605191513621844290659279544622492235227495921700214922986549368407465863247510818079516498404304427255496956466043419213627341439908372060961100653386022483094132118409437328255745618560739530039938706271962690710035753834577072989883023555416221445938656003664691653603478268473687428611834385874101756809825381874678632878417945751389062992847429236348905735429874213862824727384420513525299283863530852537305608878032358070241588421712922896198765568616755690346934416461662563153182626800443990200617614848074060130850897217182794061562630528041296378188355852695804285374866620303780165193536066104053418735576248987065070606480192492731658271893400144939102659320909793582850889502597163629078330290445852506026441873781528645890254861051841416415732666666118284365762038330500411296911118288625431017322367736028866882195487710381625562194261248737418651874330040371347713928362874048358062868679648972148255752129825445893683014638045924838411610033695854681909252949511025846978051794060571467354711159844407327364901694715628722691298363311187352893355026060646772054572607955844810879735194685192520552957139487066541717800351323640398134462685340767670594503534995185418370135594191616545707007380781901016672864533990244309540499450103891974280247373250678154674810228681652610228871448489810097356470391225859078702109654659964722902978057834202543442632176991216219894216816386475296167530839462084797307871781847451277113849350215033647608893674372009236430724961086590576655683729685534413186823193243180488423416502938197183807833589719723158755736931128220402306481803552671646925884570222166424614936607271633236093712021279629432532307487759960764561860033838595516741519003579715906483924031122602135514551871516534515078807066163459318372610564231333249335140348405089159249324389285710668152538740324909096091604798732021605951026190012829436088133479587416099430918035477542059
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,571-digit prime (165 intermediate primes).

Certified number2,571-digit prime
Certificatedownload
Certificate chainshow step 18 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680836353 --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":1100000008680836353},"decimal":true,"detail":2}}'