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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 #1100000007113549366 2,077 digits created 2024-05-28

Value

1583066085885453698786006549091102681625592198685974581520889578745673996316917056845984662559973802033795132393714646380057068169219354348142789695913001944251391136780750949837242767521519861280024036232633104955315683238779311414393953210831366208431427352005326220878062136718226883883737662390384280890716988395900416857511285199097947756405752474411890642229732039635299122354126646861863963499813411357727252564981257739359461420369527332445939067586174696828472165921230033591786671372776911118748964425575544829294994933197507579305592050770688733730778640041022541562227363569408207439605272444109715075109284819771036524736949139531538773719237834191637256296057171915355856740668292996915100811519648108258834202929278784198882257409529735265812477879336961631792701357749735626302829250558510141603424147280410853756048237335720033291056261983556584188117476577464096194831087186586206243130581340267742545100470416156820969364280317096201106000246826636313840534407577621608865732159899218897655693612554675244108708780381301417105388903400047200839350368981458503670538242774626951123431519789780211125191408740704186514002774474537423674551379950703536643243003627163563360642743597803398537400556069925559084549114427609404584726584437276770661854425467226787664421940244783228022317432761499177913128029527357044169846806600050474363070129468585718293686350076692704867793752145115860225230214525111598402500513704888141323819066443165642727520152699568440220608748892216175287821797114290954693425019037195903507008816694161499063378765291165425962025264015762018281418673071915730880751818340464491592487412136446509867763506883363629537054474777412265527126515149953652119395057649310238828026535846817727388041647939212061606917010653274028863309149207611424378069562457395282565943433393055534411076032766190117869568515102921835655819284558214717175563461217079276940198253089621384797220935471340826871605413212272866578927655278789366501258276898719935638510170225858406702959686036377858275149577013139717582338517659159566172710960739429126056588437
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,250-digit prime (225 intermediate primes).

Certified number2,250-digit prime
Certificatedownload
Certificate chainshow step 16 of 225

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007113549366 --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":1100000007113549366},"decimal":true,"detail":2}}'