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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 #1100000004834167709 2,776 digits created 2023-10-24

Value

7938461987990837276840298483232037466676127612012352753617845045725725769479783300856054658163841712625822726091143103986221446996921556794266535526826091538238247240216222904738477048443076773929063068353628248781874016886432553744572097760784985406326204559512975728714853986098843174746220650651207172396970422487790896578092262622753718672681782456699663790055531434848114300594292208755970586080189967577740106684055837142338952202527176676193538625805269056187899879357527879620160239135819153443839027778623038299341166991348062156158755943230489848734138980070759491669509725048437472975954100440740462505153482692690323865807777107073812812349041437152616267267013286811506976393070484284902738680858498149201600101862426345900560530836002837311819235196205709808256702979662470576954109917811112019133275562485250945049379074857944482704484949364056647914486562185064217771228962149333726798341834247729628050959120208949054057233894351876496415758563117868376097667192663378246579872815374637158500129193960945322391762736067666101917231286803883661266067366865686296661731209394980456316619860455174009578585572640845050960054722816631438100094334410531662713578890142947416309737665611303543445192963642754901689151531583331703590881659062867233410734182170455325583254059949294971283133513095577473552189180227022141669213279685439039942525577340098672653964501727882565715575422359440080367119907114353681672364994358239182562178155339015250813440620383123653037177374766038253074162022485626100131239658721923130279815989494852984469828355438880013557256286869348488355325672630762499540137021433202316784044247601719332404453919341215187169468147428008459747410844753345966702062136666066105717459349766956288230361380544514009115711586356469339406830212190896958425611307314993529516605316818028797048374217849643295306793201078249912654607882508256039309479879342427913822858210872730383642245738183522736257826332917254649952307212577530840977020369211790409916426612710084757753966595895200826721267037896325198253038527051266694261183115570869494596093889782021912954514286415982309352657133226660086781989094429385827563754884118728310029240036563666421534174047864109202805560632227680751050866855015871928548096675126562585709346675816408757777107147799074656185204558957334096558139679138942792482747636730175804716616317874971751768631286679338418952684918530589646659948046344864877306157567950669318260516269389827758549850812563016504663921241792622982282441786118465397823016088299197946240665752889895027447131432462460753624172812963917510462320430430667778423776486769349484471889529116842893321462433452959570214558719515030300213448551804724379029079785074520537346678654036768584435544608088875032528447072154352667126158957901330924230687
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 3,770-digit prime (410 intermediate primes).

Certified number3,770-digit prime
Certificatedownload
Certificate chainshow step 94 of 410

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004834167709 --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":1100000004834167709},"decimal":true,"detail":2}}'