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 #1100000007734452927 5,443 digits created 2024-12-27

Value

3072953016764006562381093702741916338613002573994319877330409442772934370845952596132616074098931010861088137632039077345646349802051187597958651650767469188252153702646461013580446719589570336973609010938954479855666379315910740508445529133031219203207481787015756929479587188927230322369414325384341844474907886067079862515759363818540288338344104772514249818430452191966892363498167143285918840675757075569784021005852933682507765091413248783436894117262048535665999513319273981560942328638323099598753605839609945801496651538582365906479507975533814924660971467157181701508981573467549898608202232983955148062560994618111579177761949717141299662319028250788285004279038989922693405934309710276714963564744812248631766906801078310794705679579125548340898582596151394359493237470258549515263952546085331493448730940986395890306588440803407025568232664149148603256867468012456807962494185347960569274610828163361018136405289738234641995845339799603749303997791321279234056931905117120019149773133056213349269484566373975832250441245016614120039501441626311472440525095312023266022710332446215774048169867125283379502912132800520635695704937330929956788188223135600904484894533054416050920260332577079523229707949407194026807979145393841559234378045283333593079450931024423448094109111099090211727503114576971738048587592292033645543710921960336525283964212219200299076970646956982142581095180654286504045341643525732131857090547122443193118783689224458218051500528738594447812642061381804004431996876270276054495995059715788231477644136741193722024678414529305736577082306225352228275736561472455767596401066716324089940663462067838171736595575998994047771747282355447948676563591833826031059661990906467596834487483254452860703836461600173980214371880723940869332638052805545920790560621871586455296452233997038896778057941780517247811361563241864837933634148660332436644715288548902436011203309121840899545688074933123368049668459014195159188115213013802945824844558163951640023262465644518964271737041170232526358194315348927355887513152153797309992589267969668711919535886223838772507231719542188860697467969563128251754091253819619382349752507531619060050778136555175924734268689849118748473821021323652849635764153743746627656282036289943559623642414255382899998269672002069013541558017359014510832751950913195423205564590262438440336895523848286427261682336436703021345291827504781396426758818337033637272301178369343580272605743991028934167423924463407011128870156614479344993777936684351933573056550103642586848443520961049031232679406513134706298809373105365123242549904824199368755056445194888049298257859985064125989074701382545365017391362349911928678227578641105382230190338703460330480598515064956983697535962885198334428018260783536361829219891492193549873090819760435194976914780608233113887027786041956261293988248797524466492842609344569921888926095280505108265774456240745782577105307161549242181934155208288800165899717636137019056488691396323059461519747425301073192355301240763268747359938338814315730137217829314280341190510754385400294065325438527012769451578517598194724629525859271586504509861061143361556811500265182731550215831318244817478331882154790798129106291538427495060781384594818092360972388779365045776539460960540960427425519643235762648045877437851153304940155266683290914048463088694822841903470479273165323514681895515658056531480939329934317405117371088829363857432493546252168520860507051061984625570938894954468358627131273761681609718826551521065382746659208989897610628503449052539315735051970386123236867368079750918388915697612129120876136125985966962927638794614997355590881247628663785586121512611667557582589837340122863688386802733411687942464532227763336599042104087687106861160644917086955701371936395448416967246167146202123621330816426817823017384899656591782060561115491869666190334360487474759242040578555080966946284154947352782751574161008186121503572553595630744144469328456357984066721100262325800496839912848124520284108326054543207249822199677316118507521658088630297321385462903634775098218246021953835736989354908600221262431386221432425950846128194122203243582252736507483702480364117771873523282253250176012579364738204022590031311735391037615807107529605169399072233869635605457522181249828117742416318831100132925734327910427519263514668331415742164999115690034107259565470367605887292773194016820505906899613787766397899991950405069120233299231922520490801692679949473706029916011939914478400489228759539740773335693320129290680521831727656533632808009214848991561091035438133110161460096088936174432501802140848274639297307011508399095498586359548900359761458555903683734381869282501339447619025456872643940851133220807635636159034702595501105434319443099081287602742202812373980406597954795049833711350313069153288681902343179436854463739817221343581595679822277714076378090289506752843119837103590846466610425883339917251640200900322018351148916357130673027312425583457465616745201789775552026929003548738232822012417950247153806624770687268657753969281120689479854261734164395626508102612998901066280739005216019817554568501950116156593128978815297376013322583869249209770846909562973065168421590646255965795790378387137819720849011416933263795972975493186983223614439419581560316271260157760907439047391451821310467819529214126932450810781524124911467810120614451746314520745626023894027222643585305842072190618689083295183946173215195649778406743195427988262979779
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 6 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734452927 --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":1100000007734452927},"decimal":true,"detail":2}}'