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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 #1100000005814651812 4,351 digits created 2024-01-27

Value

3365564197083640374314982227115377614677314255826693690181676536604921504599460360355367271360091217839096184837521618594326951567689758185584997655770635498812160811491002980931748935587351782333811373364974844145263589839267359753015987090004260570865140000404617723972565144372333120684652346923763545912256683996800204788392620521772833417201500845306700980600159188175118793088298194336290218689539920981511968979179770767940462493143462618864112866057692324578826783348383744296751611751111192570531238828430469341303668348951946441647154102727843934053264785487728342630118947565308908799320935512372573023933535659737836462915567531216344617182029219820239969253353918959590226643090426973408050565390499930720565159074189291269631518200338079715822810110789864072737724732352108226754074304295410490920528702895251311413351085161129646246214556952177852759078445764382311686722602971721827229737433935115079008529612516340134513020667140937783803497671932527951401398107291249727528682014689877699942910065342358385462669790674121433808304524249035339734065045481698642656641746712456229711810446922996823242222194008681956882572887924199904113705755173672581609300367584320942755780661476869279077386430309036779207404689734107921241095146724970154606610821606539148176491245957555177360809732541847565606420425760497818346513363133771862084027735089179301202124529575461973027091937898210013869913106023811035936993628749147826245068789180408712476981051975814194003800641589351222102214902481408157916634615712813146119706924101674310857246281346436768000484479384162687916106349786443364298079756073827217927718763092049932661978199249810574603345481418276396679976571505761877952766083019139739573137668139547633030613232816039641924670093665248939212567818215541105526664824815159238585441193749375777767546004428525080667999239900361728489351139846336463607156160772675758811521278034629945817575799244916081920578438462587423865696918779386783688337270034379933142241724491653042622470941439249042174538347848005249825657836121959648856155368384047382508851425879852722210440013030565506977868045687663584153785990903647614501730143166494963198421389211387722953467426255349919286844812851543551719779856786316720783845742912106627893172340134269990571274460198505248538792915358688334646304035554090117481864080957258678203600875682529855202389111753047570230509197903226902686391179471038265264396136127639735295715321560137164084319978411931353522575253008692380242846378008648339315647572457796133090500532459758956774436107310926640530539932136400576348581905376441018178265498827733046860372910122960043136900716141862154071920042650497903425770584567567967048389065886540302315901982613415478363435937656579657477785498881690921104098326746294159914495420006231836273180256838388088036400333818534527581168102275676705668653063853973542644637752021580127001430973114769616710356340524096623290093104556378752188699068929270005119412641962625604317205107723156659104192890134348796438390905778843162313461512058439866955436758096381999215318605016944319122356196943033658319275287891161764248781855637253434063468238846516903949658709980446650778634625800067383125353234521260935217647346013502037023622527093349373355692814875995953325601988423571670543717766279717443418416462191784083939980264166728570242597980102410027008800134897943838858640620815948072712101440347774503248013917501418976775827481778962422629104749860072511272326680943029424958657270519297692687310620285147244362274777516632162694242084524466138717556098233740524812982691816006013310719725786267570253806584925703047257976299431593130822820131916541901885133794522686884434726582040480397591752492192821474091637227870407726649180173318668069984862124021064651744991838250363989011801897760007654034414084500999178421877786872777255364666138256435038127720841064782796127243104239265810323020956609235638325253660618965441628392770627621514741809710313504134169045378413239873775360964952512817026958367745790986292328297283020975593720213158970505973671926602202137921601715440077234975669360962815014028341522794676825817430760398123913524816924416475520037698435508075873641441202237662303425318225988943486983384581518540291031250533412188547571043915291834859006134654745345085760063505717772752234421391675867319449118860675365860045053922935889
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 4,403-digit prime (265 intermediate primes).

Certified number4,403-digit prime
Certificatedownload
Certificate chainshow step 5 of 265

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814651812 --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":1100000005814651812},"decimal":true,"detail":2}}'