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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 #1100000004815174888 4,109 digits created 2023-10-24

Value

22938843794244209209843507465157012696900400030385144045558392574871589827543418518545730325564760576966839419510416572951943756746800980467382181005072144203515484663074203791281528998443834054235122057984824649633131581191578081131673579437283167237426003980859372880600515662036860824641234951612008390471905416796968881017722996450462324070463836377286840426926025566928840250580204617019831568888379995408522548263624393022898351719647896841938324204169001628479248454023673102074848145454310311664800166414582912911331635649995768205703093361593126524960022126782584008112086648800124164036669808236844235790763342994848938065010285254209548385679755072569473980185770017508225523553830547509774872713556277835771847913048313586178697494275057233992901507697891433924991816700052420179163269976252421260133848951816628475125295131121403931823469579049834227444843433772977471961932063596936934877535907758228390419091707907256526922247554835686366162905745469429431853835319866362856292527071231286596518902973932334410201115542249686362269161304227902436170083810822907223803881583321813041794340371495836728085450947608599841222653366407244304104164361387494113576920549926463198019411693809453534864002960430293984043388639607192809375671034537929999350835137227243365280960291607553503363685103426054124653839876830765704271917033919680578548870959050629815964683336023646637156039238815199891056597091529739961205557887806598560235251508637383388541218222917142689615629543547917358977006942605348560680988622378118744716655988054782652072179913279903082978620841723068749609374834515363291789616319270803354663119506718233072205680402620332395855328921826750346393511553736549613460446672244997420327994011207610009686023597291960687611098955800981986306002014212637539978049754878281737175608108140304463363859260775870246884441077139266979444747208476291107396620955934479567532797231425274238048551673392939645952048332478940635229414814296002561403630904370406129318720109835456924232804650119371736435904479033239000272831349917199336696561054225701130366771583862256368431964922893031056033908634509190518259514961346218392783339446433246823200234130670645648662969126303467932058162778541746384694504737923056836633780857895500069712352978351911039706057033156924267489039666344158009060874194464962353162219893028644071454417003254529204728374931511627358655926005618069517740964023692242650564788675362020242922421525373340217433347504180181954587493167339891204807453968291985644618983201701848595514822831125196508518769784934605170869478604997677413389237481295658971782568989682325130855330412976169774791653475588575424305530538454496042242207478532891264487000255729125747509381371181541025736606176922501390208619784044755131324627429870400201901831582823808644806984674009889335629563339107447088412542802859838312491416478368041023758892979410378184272648718198200814850087934784361544566615679658715190604542984353929896769755878950187356040229315062695667891906271332550476666805375060746763609717952460249756386200773101698775942934888038462133247203530692617296003492293271473261337221905189414409233667728264004374514732625748897952576609350119761106744948683620324204529561173347524716246170619609455383232790340641082315712840612488488820244748339668777609092548162706510081559874759088136088166090064841361911485196057568926414720072935141533457096767558540283276900357710083432132404887933463427964033382124005645326793537356141515471874496626117946720516626351392939570075936177876468254305600071100265466202675220313868977108972672896459298998319339022346762256109747093314688833104445033696385052433292653063207860529170443575743792297334817208043290971812203263046642755603073164435739706637318517809772848380752880260127149195800152409607802690706205993032862224380180989712900965138797756446794306667837053867184574784347474603588244036143334626449621969206655189232925181059839281700484692192595587271135579792839275488255970307265699592626829090243978241380620137997183461649974598200441990809511290876045927562846177153027331090842508015789235260450088217898281
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 137 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 137 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815174888 --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":1100000004815174888},"decimal":true,"detail":2}}'