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 #1100000004815101382 5,047 digits created 2023-10-24

Value

8949162505156149032894586723162418079204072881120799601099090268210296233895837163762793642294159871291772462741576795125028006504272224072396537359563249755416954936862437979952043754983735392942624388833496107899510319479107501882097320618700771576735627244556770654024399751797385942567811829596014273637807943205775476804537673546886262486734654932754246788060651879506676192878722245829050665287808519022076245982167027700844293927406080735156193284105460563974026487756983049335270051956572058929304680602927959166598840953996587152262560115104235127252529948535561232154754606152645358442433768024318566138147692290707482214516949609648662370382466255900540378602315117942013390558730336670952280431342860295812507682400407760270894997559050165683429138275122550716979672984472876646853212019162294635252234904073567002192252041718699139423137355389759994410431842205434373242100777270376263347443086197250779295136325202104299883442731007068729199069414715231751157252606809931621287006787509881023777976311093134619593502524876588645647349970612945143022435692227318454252507051406389194784446599734217177131311903877954231618434565503460689104943811327522959377732409361105396585051922564089701240175995361757098576037517291498736874246424891502140662456363051088367151519005321953189354156544804789305506566447533648454259159430462086415872867819265185427270710261687975645550145045139052579349689786906412672940942515366774253264204226982088624500213186659161053512629367260972415893549768575160802163604243621050717455422056583926705596000649710261797340954344416201700152785965730487740989209642090158767405176841730477468073170445917969039710520042465546882825375470107350859913310610615860717274162304919002470726382222162867557704187882327712927609549583884314494202306682292109407898288856489248527215238730712979234217064971992154750615673725597546105763303255403796108515423323864516559401726619888560716775613102312064753650923034880673639309351351418933175704843168318395122128640945507105304246751022294143061347317573610160374492283439431095666245122778626820167358745868972680850018164436865343433562959281502379873945787475245094250977162149051491531937999253445994312364274746470233876564253061922359487916123724761395083927616926823682545628068272011869088636851349456374152749426959406572311709831024968403686229439943790265390295143465275270167902744751764526035727805636324261036628032858276495800807683879994938114448567207899939222344429533494072439358132271393524017559382311555189564827073899918926519934840391215783213956650427224667505050558990300182513120654290328419152015574580132550014004190440119653577234936425020142842407111793771329793546954349297597648036175228149082164326146883837848218861483999078924886043512565416215460402324993540678233280114870452253486877730252064795719497644319396172168683114584960281669460803034326098450202576187927762327301723517298899334117908339467342673217117208079914073802172760938070091558579204587075120182147797300913121750459539784610273359714223579584957918322778730785372406012392750935180867870810326121972364019671801536645087348934223247631082832604884756618659805621457188571062328155205182039013278424709477431013033237284413323663191647301427554588919053247158942017794927806093599275838197185620702400568179096956212619494200245073668087122941759259338681835227264089102206062607603983228164196160998386593261223114520446825338218365140426337035672915062087765942055023813664583835546352263053343194487258671109621245064174599234726119193922392038701074249549761527617564092894274214245232398968500504248359396844731641322233151806978318137477967905727670525844082924978136738502980021549569682715529129163885425718630880386068910839629372993290648309499319695148675509394908461249336034347504030118423642426108819412276036541929796418007268114291937961006545032447615807463180879298030127922649694655215872455795657331599054358040060085091621806810590293170972438983918585612189885086766132243714807684748077978317672653646480473376425642862955218335222126103685366894619092210204303628435738976402809464086041273459071697267246631254147689807164643934893476422981476308303477013864631519153330099304481320658065048355457483246521187837674664945481871892763473300116585693568541592387794163895970708113730154324520329297773597101001629317860250373047375966408951526457623724236134416941622920578039129400942945261785202630824482422396579106879845988871384278617087664448374493223526007010246178587603731998246665733840923615259699142551308815576114865360677453426638198541914803382465506441664143367166390191192080069708085373644461615806337136998735358974449028194131057754766314624700902742369028988490318668360627572987000071111726120444264392624055153673859186691907999182863469310099895811481071388653623999695055411830504598154171021141668824918341807359640865622459076403341276403457126357827397699509993857696209075975310200768468190124962729686709271099528484884095897358459773478394036488156733123751377339403462922804726396138990545463804517
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 5,517-digit prime (557 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 42 of 557

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815101382 --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":1100000004815101382},"decimal":true,"detail":2}}'