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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 #1100000004890742811 2,222 digits created 2023-10-25

Value

26697258941101143551594942724960446611505022352589576174515212527647626114925536522037217965019887970661846609461475361247455796161226437794204301053698621791281050348377817283980418874891777247810686950596858881720470039725750018553990667702470558354128444343648828069138056478939688005878972600380454598867097302212297155103650090385948984338602220128262543938068602205861701118233700566779611100792042230857328317210870113661270021773525368214683585707257578420175910253459057212907122020016537276650846061420200562414707168473966638209242025249393814495664630124414438419862191930920651522855885655809270947752583584887148473452262070194692649055896057990204685569744414773444161751239974263109153029183229933284435886284603924677566153871133928670955212848758269404392662644196513609720013699352403826617707640583583487499421159519755297719621158384313695891343375464074083202695554420704421602881287465932578907552786633904929704431960783055223061758447905463679129144582868196060038957486576043225263950604379346776751305887243679247239195187567105937237700359684827434284476364414743675839564485930710761276093771281977443762706218879378836104581015027953374888802039031980929902608051026335840658553968063745506252272630726990797191477960261060140498858717746863565766743894339157491586566804885861605954820366638084860925589705191036758374815405616130673895573992562242388023567850454459994085621172527937394508756868239317613126455139952472883110121340168625270618803559975648489172618785101329333284739688846170710567503706701292467115709131708048273449800626575267358960864899851917304225975947900560137502452576694895789244208448937912761290447470316206153953042288349069450110474943907210568116896865936100816178365906365131852630989189930774212995524876694146840718218682823715249495865294830660855242040177293466989449373899882775735578773174699635750065803588664008177685905103526579399829194631364739020799260726470949069969605980049486418798856264866203660992328214361897686613880057640529412630787904480277942071908908284590775250035965857030878006224237049914822293146070944785232525948327704025775015762354062520662650212413484614934582936363019271816080286478532000705498392921296453856620146971079
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 2,229-digit prime (258 intermediate primes).

Certified number2,229-digit prime
Certificatedownload
Certificate chainshow step 2 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004890742811 --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":1100000004890742811},"decimal":true,"detail":2}}'