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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 #1100000006886660727 2,477 digits created 2024-04-06

Value

12746677488758214243176153133148768086678280535398450024813790370614335600214639425435719957528299155913935535947449837349471125329615700113627552665550860145409383341356525593672504176231633401995341806823296297640294050305930964308061276084055969630378170131944634800201613437398914078338796467765264364981863834721582153794090422249138104009955342399547249863573516912344335290060929177382927913222661522263797527407414604767513404898624648100728641669923956080090348206476004047985164667829159747452877148043892609363872392169033778243884707136538219760619483560145389080450088668119600726654115476494460599489267943405660155327759107073801953183216143674868882332260570984006334025988050320446924217479344340440949106733778057409837165821781186327869244634271744853831139653116980196527719549302871334796582320677279371195649997530395077813842655372447747260552124627464946322249447781091854308500581120505435660137887246229638106838371516687009472204418573730188995336585138765236375209142587581458626318920483463178557374978558999645374131044754728017295387194649722998698469024403408220285018444458072903138219560898506979529685425490507843499762620821863946654225529865836946983950604148026754122357911807376054408922339049510739217661881547930695733261343161966368618291103185402335111533057747158048152127496011481509859102853505803153142096166498795798006589529063155919451928419989125412232886386964006914102245448187429194426989431399372597109382455469937246918537817105609423460007918806687471611927682802357449174546411443192619802991945282298204446829158243089329144037632791174977479061607141322089671518714882576919018639896226747344183173024948752521440630758484069343841717833686412255969491386209247415663379267765119691760084868444274917420569078819334220873677179213404364641680406745810805573423770222363522291754082519982077923274607463690462514665607722873835416029478288709098988834462915941916431964558771810422887777807350653937267000355127258095287757218970620737977504322934634937430751269889288295663276665047086151911626409666864884574513777647828882250517415100068967865642714219775147139094090796539892832445526799762583841275626025998570942528144174160542077111774296824545617982156213200918510894904783652218266867060976327830296600060735601383250021569355821966639867768815833067187566679950829472987210499307398098601125069754259440627976030010083837345661554691726108003295777638809278294672885449153580475385055048137364490923408978179
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,980-digit prime (295 intermediate primes).

Certified number2,980-digit prime
Certificatedownload
Certificate chainshow step 48 of 295

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006886660727 --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":1100000006886660727},"decimal":true,"detail":2}}'