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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 #1100000007734452944 5,391 digits created 2024-12-27

Value

211378547842598390235896943350144171306775702810677039369635213488444612960782743068071575880273944580505572149472889573374637117374842882881938826468395752986597171358248727245950309270450202754475631944993826747001338756307550477600990102498651068713663615421776977101713297355350727980771261896208720449894020865853325901791168175519766989841588695020811001235267830008554237999031486762549568642516009511569244684284819981912680742006421580953243708026807479058868324925093759090532723732059664295926898233067641382911376007359936676742708126887925000610645787034370009787140928597104232121283872568820996315477873959498053892671019695111611278272570799321787080094615974027768889676342243137528313588329947884773395952362068792492024844248134132725342104070370219868449921130464701256111058739873689196352454849577632051509965445401625162475647950075598350048709922143480744810681514584533163906218966659327056209760320239346885101728689002068143559716923545084537983714145643293623707265386211389403266341154929163216464134191248289095796202212283625081612300197201339189753475024886139244648054743634424932881665051475707752546811450068891964950007234224941374073254493015282439787176250092230970995617704770694283870490161104454216654986396924839963408465235238018942563386708900266469276143978258170196397882111032552514099492274254805015576587857129464304248120643568046876006716815100061012483045790520870394989777271784591493894149522126280801211724964873572133596772800009823139561627901314386188150470616370291668114665002243228411990531295493309681236561113807333639001811654885189672495652572074676643204740508811230840408578683444683732808102500501251949447451931507049151278700106961923317015698715538066547297130231287363818527687546588001993461178075773548521295062713277431016322235817398787591969298320446167619627419003925310701417911878261846074382886804401050459771225574016792868835844823716128238170893099196441697751447729844321507121932816750174801697440594298401688481881363573290900004672130220894226611339998269438967934204282065051637314770672801437195488760281713841822578997229646182664861197378066300153988508368710307497998227298822879179692672295223632258599921003040754904808694822623993585621277866852494019887746097613123618645778946080273558600983702028987931209182096976619752441465556578574632244753796576839678731671039070350947270895842884709712921260717923429278610536661445604065415503446351224819539111604821415744827199912645973871954984310950111591603202249391342766992526373455066470864528999434026238244015258560475231948687065154840252288663686819574045674815550892013284780536075097886238188186329996982832719117164518236029356922849035739369291912432119192662467309746184273645722768463136208865065427835261655662989181804634275028168070763071026550532215642160234155632943144752567933265520691555774269580753788643607243643324069686742875232169931872691914592864553383061358941538447069292257903824220265610745960440925712514054690257133157629815928980759505451914779555395836273958821611584274612474561359563972209055084186664394709572520263650866411618578113337704707938610780646524685853127859452278583077263144942227392075133460192444311452261469444421667394166057985456081497906445939993628377648795290130411660986903232809188213348283913057700982587371115453991059735622987305664944846430575856204855331675038531664342302978847322049560138894418545557432767701027305809797191986170647430236842383928247195213911657441965763698580976680114679201950547112734276900107027334524286126846509536880578992454630800305361541139957085508230419474844951420599795708383950522070002109123994044655593087693672065418709337801151825504082728470072818896519154205819342720432361672244435364011527189387913794120058687821810501663759692593835511799586225993659763586662376480053311449953434040793089550896689042386422229781720172719668024706238516227581258657477561870829742139023833787785817839790009223234109010192263731582545206317238831512372636907634918000558779295029857478602710970828894980031147739131924997023947651773807217150388836521345598090562877777503216152189672966544365824209914088883370518132191271520854456824304834690419778615901902630610089706781131806442720622705377426920865370979942641232507508202990007413093076858175945899428528265166100371743222051225294197541794429393980002117804181061748267515190188616477172792898665761301610384211328275679454063729933976121089649590251936781896900551023231466564468833161673852223824374463512840292908174967996367444589514413344386350999048309759252820973394814586659707738417770716386223762430429478505336552030315331932762085395890881519827244801758330039651716354168710929663736878033895857608267604063761614241406286298517609083146517962496227568133507511948651711775877347588859892710791621409053636986498569207711876004641609706659686785735504965594589159368562000522412732379746046300567774328500426899789648204100496172873498954593986268368291868431109086065884924014342547871014639595002111241635735081246605647527515769877849414659406053354654427861602200605616349510725954651358199275386880420517559728911390254397047777094452300085680948213682322932837166341527522261159543865438433681012518853004970221978408473954329665270228578059959771657566679376357782414975852295068322601445513257765501443212350673629940306257065964423267643166077143805353927546367456540787
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 10 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734452944 --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":1100000007734452944},"decimal":true,"detail":2}}'