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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 #1100000007734453127 4,800 digits created 2024-12-27

Value

165555709611634962040673824680851099192136897998798483761239984196320106692984403351215858350889168204733652877532406567198873953698020074422248608927706498296797761017213112489158842863847727783534422557539092843147469641353497509377241960625692073229186461367433580548614547350250374044669951874516145397948205139847649200061698992541749831953646221224799267800982404627255790089027085410734803617942027796611731948725058406573260064841170061450289034989928476993437660103628012696576403764433854721385012263148450856407227330024529395552022217356534263444697738343430635642443088877313241051146107976112988412413375095022378859281697446751571991971702238672112485314377299653262864897395683599361481540959082170123089697973061631917654462942328482346011432714347490777659402009774127351696147259236737342368262488376176253371114300812746580401655004566084083196811187270595133001737087045902016657695321857556070754902535291619682726929484413341540745236704137766609565187952914574622728066609110309532738551951442493689522643974887486958255670712558179295188034055657799349240253473088267505310202539079084493475082259837080145759748145610699436027691210635719549477300708681572369613001729228606059892648810098186064215939021788075106931919933461788593678611747276222391017703876885364994063664076861873424922586706857573451982985450602536080319794740177089278086455600544735333652806951753976038683458311413908871166101922809116711255290650639291353535436783425034793248705241387121347700506885249533048978195281402680806034277914133076106656478612644844335446586977545869503468114128641179914915258634150077124948589833678991947221781057178168258053734758538192994638693220611844553779211403657121939254410680457029219271489540687782837201045386989370021117342903958776973269415454833740323180567557373875488954767765843522290673664784548464521438628636949609342501193734596664026567632414119114193540859812209352856957131602002987770867267052948097488622146876355724799792223684603132219518359913897619411205287158510608717522121997754380684188013203576881347130632822291869794086899885247977381933409453079352379382905128075813032236575970226121464343917364816080148611603053330729237822118289123753524934179527482934959343815703756807953506022546715304668340290583631621857425983142328242232676477373373933378303904596010836550197612853176967128132546621844416689092096914201210837074311905967184804389357310380774257658593107323299487896054820191688234494984081092902156443577358727038508610133139233055056693726192691316477159027028508459707966757079035455940446845485790318960269235077353251622021820889899477782016646663636726706810852938580167440065471098732590299944999369519699774257700729930762835968142760393889115729872227982608636060304598100686620110418193743570677604350998069362904076783324789791067636813571957880781677503264574370237098832574681045316169198677857167087731988260233899624547807029691312158024461556052901267387797328309413583987273621238235499563975392129260436238977683610140173829488578968629695105504145140944900627060631647450438967366773222212387131465077421649912669290861740742189971752713655331569536503647055145120282404255950339662853499968798101170706934599214030475159581727051238071761188366972663118009280160771891111349017449621573025552254652863794843275591710170929040075297421509266503036750043534276746677271356905844585844314926438573307079187650612434943320252015598920115369006348597687391673433670521715628256580943467562752110852373226257759200406063919746073988212368305906777516554047801466558832457063038288367050348316579308976241684324115253934119765287383594538857679205850921422934281135332440768949046041186089684742132681778873951428305496980800338126432206625398073224542591085959967101583588061922554918187857074338726210319031771343641867044756379912056399088071600275879622800966392580450183634420336772222986141400820141688121342995476777886369277865306605878927533030674356130166204757215208145444781389433079037506586303110614478650651381505608174562614986111974309990122047525126092071393365462070131922222632409855974174162959057814901797257251063960071080979047233344952892631823267170460003844496322814945135233717181086779576818503993652333720377314741418138794685423196876780946498908227162819528456292883991380485555058952735715000270926861297259338760970250760462723038424171774618763069088383550110089243809821335438822696583463560615823809181942519318415612683985511599794219923348026624168658485583216100493008584494491329492532227742987120192723324752470628429170889995793201376123791501353622322524367957166485303331173289291292560561825301929046590128657678455182589122581272590212943826686224658290500242216370282076667637327409771580393438022597866024967883539307329520527318801095409866211758182980781
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 63 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 63 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453127 --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":1100000007734453127},"decimal":true,"detail":2}}'