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 #1100000004813477078 5,500 digits created 2023-10-24

Value

2242000089667244790097747136608947028711791839463740508286223042032367195623154253024680953430490058093914451743649515107001329869996428409042761141159844561177616500821275599240370044665333073270463210777075480581217571719042363473763307598911997830571233393767187683587661403667216549497827692739033058475570370926632151066267288020270967526940062290302539347301877720635832317522786801865822053734151807086304162415025707399576205015098624760241487256899238978846565831518286379801913027477243357505860368772730374550938443264102175288735236705312985234649653641718592587550070124081335598064339900686003753825261897960032591293246445878183996532234588211063618231506466366555317088517770007029553226617277978307327542577889056588239307739190419926721680657284067030034285347550760664926534248194842775832508291563406447698548950495374900017792457099588644320380985656709926788705019225802187788286713966836626967231762139461124362207709424897400428752494366885386687368838415873297818630342812226207125312183697968618737488267234871824349111553718830397619425541525122975266404247979040016420321089081742710377211174660795341146623736835466699249181388715042532069092994622028677776041446851188688436980571128905891966160559711620568293343844523167768850366068337227175252180586875565899400613796371294590746132282672918805733635238620232653713269341280392778377933290800883296394347960312709224242913470557871139875049326569256559338823557336052853423434027082866455552107421217317071065159026471180116765098937449494567096042345948896817507568844623299027878183161513918323592233170163102666317329545216976932623088825568478833243285187651631104139879052837649966839458383099997145058295738435902375250675679988111175529061323825772520590757456022283642875325237235696228319739738289798252354738103710983393281032554417005227141307038113833349046100929448599913813343753928152255480579732326501653658520821516258976892024738643149932481903311159502151732323040572186191303939368144275970922701756814669900337250701967759061944662046027783982790652077860247530511372995406783597324902714832669470552791262872298865094989351862220532479417515447934724666945137766286963913375340508243675161230171743780355295802306899133189027478341622932807052717703036960573193908930039162483993412950817967020555895189834837817116162572075499373651699507149780238061782560664298246804059332572305041630114839154411143071385448059755885856826420951236163019160952374979969118376761624988630053554456428528870166921936444012683655321592166183337886696001210900675500048137279501444158746662632554899357479407021534316789522920662281744480187989906307114803333437350551844416536272267906783822416585664272030085731579656336285228397423645941864168663806803608308290471670246007121448240775918262814759789059917978746076974355030689377818342480304883068761805931983425370956645108579954475255468184861733938630036566674135940642239726558300617005721480320359426872062720186333399576400884201473614759240005648549877817898935247659791724000475358398722031535412352665047090774357472114736523369721505785545135812703517637810034186548964613485555616046746720558996766165130441069317380803129905416335057876757943226974006816511305650535977406998593081519303285246768261675190776184128014733164148601957693860213335101396844780482239236599165787850633652510869317277141863857579704897253988880675633696217782075107705769308172089323123312583571451398186742736064758126945776424331304423960339683852099767764878612821700504671135387529706943879259442815524046757758822673338088709372499126846094547951619445446400980837357960310403274553246427523972475213717815842395118676451443043103030136075875320895742429138071872087547467058541589830441464762788542341442791872989267307324571012431278202956058251141154807694743401578245944762335824419829172677090133361137414030492564797467219865255438090499837519377550351635668682321462983205240520641344318943843009825134049415292422968006285960640987451206413033248233632314733883302447143421377864999104896105834808280641763814960735656005835581889859070284729688095738100195152131984731143461020119008041514116872311203397105620341210704013093627340802729075679146215268590270704761951110613785398145050114994236619958844176122616362300302419368111067145660962998496056580697763496962757356606663239936213399977063098734007936645049841220023499273520364890752991420702238680864302815859327003950522342654836564904710606091209016392637812415755799306847590957136841480476892979515311222869592920665625585598882544062178286421344988557727987213991480022213415710536867375459051566624363160258895930838995095228051493267709929551186921380799827187088854959616996759436199376446067705916498467653660217690232916043271264967286758279002934201443828295964770333517743862156713367831491234566753885811266526088613527162575376938781948519203886887342722018079406543744473047483998313252334862791469462531040043894621706905316676218641541317057541706953249443772431404421965635387803711718401531918273847483842896150610938070828135681320986365598454629631023734391024653550466729724792658960965163781609795090264717842679577920906860425258744792974916956261887284348027128674466136412961745148961579707447880589806593451655520761018001627904104192825387375303551483934844857749095896651114304433630889213573253275115876326689217294926732609951618175405627111693531892401528083550923627110664959956015986580853699790939399168128851334303256151035372539727389091468940730762426244797
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 6,356-digit prime (658 intermediate primes).

Certified number6,356-digit prime
Certificatedownload
Certificate chainshow step 77 of 658

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813477078 --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":1100000004813477078},"decimal":true,"detail":2}}'