factordbrpc · fdb
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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 #1100000004829754129 3,984 digits created 2023-10-24

Value

161735816834037904244458583503002690669197793331535065942973181184455259864945894239321467115628025031826881367098786961585786271901022375708119233205790161363197084078670377442492927831144602452443399827296825608966510594030307149207759094365672707727331458056069447484426643676613281562854123912109208094926136783291937204880421318371448797175070870304018753999814742700250445980271911509750411394112178287424040745135274710321890490466046394866949543057866339279666280606902533975338260884874322298951992760255521626325267328935158943852296560380201749365440753315105011481064829204600262896298586682989788775430338721542597117469208716158057428243959046243869832804006056487969357355138893551101207369789546284412877365233541022183178245184808096570573435547893905335715853910475421209801810938448777021870384134231395096645871691088576647453214034402699722634814740319093503946105108851812918145764584696120701639842678483209794452021008167562298675926594607056569676481296699809926280776095475854852006593790744240382396237621639900117288917271252037316707957276901179930145054443744645776808759922166482108199902153979995858858986631317316272592350132397445235203418821567975111185549175732774474298626875435609972991509085221503973185614498436436039630624162200179017885714073711599781524965143255835905833874139145027535746696789493576466559954667684571282029955790156164641734659714605805666099292339573516957169755987279474078784516544097451445472806287473358108090123497050108017007374448574395948735005679214926587735037405645854653769116430712605532398999278617677331834262245597560318091335589531433786933069605756831401613570535393313283596343389047677823607648667668888529907891017026738526821471065252966064636714077008526393245523903936663965663335831697084890344043287833066289259357035035329129182687344410287549647552833674836264551087848472190017871417317207303997060087666874455571098918498140734642761179788983655228171607528024163654429609837803030471523477083153583432979811363125076055146249744701955561953897315190321882022921811422538266052792433672575453533641619850167721279485921842483433839458437538702537518529155764420634099595080120439488121222737743186732679977085306669177640608548282369738083177392748219241153855258383563004151467829989150333920660631934253806074011757611702688391005765834926377990644686293295368886775715746168789917717130669502081798649996986010671969329972896425301588505111969925051832877379690846520200203446051497282659006606193129266863243823890477973961051147880106899562990544215105510589066118770200699729734530445819236041343908036428336949191855897491265871124662280272704050384283036934369758201577639928003727502585224888149528795306739209251817101595970174507589911257963032892461679100868691955138730820878701376302768426790531614130287224030643709729129670724650520392990900257364960748096630872929152156640886389460391771927835622063614280156726874831826747546318183039750833926812293895754545039889254058557478364767806950312277155436602585376718709988055522648583510860409965391035874379254667909469055513144878152370842404204880030372274777670795540296126096877528680125741927881666118254800697464397049836928659117743058702036714002107754621218956430593358504193921355560493880618231512426632005886975950424045128200883135991470779054382769473648650024704621203654308814099788125890408200938530530773202851184557031411621778860872340926122632973488708041503253959629828156463329616476714768037910947380452651179817340872258362545863846469203415626814408257736463810868532662423838483318020983995096894005557970546891474288122781549003960179830289039208044688775278220174996174497956406795273174878532905458337389065295927551736185924309158375989168038545854100763126493931297082592262707090502554956180922795620876415263029046136439646215895492559272851260455486207520476023401802282390848731948041334035718384087264442053265893254414690944837432264028985729361125122023952708195992722332826949898423053
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 4,005-digit prime (448 intermediate primes).

Certified number4,005-digit prime
Certificatedownload
Certificate chainshow step 3 of 448

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829754129 --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":1100000004829754129},"decimal":true,"detail":2}}'