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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 #1100000008647888501 4,691 digits created 2026-02-27

Value

49489456901042330349362399273298730542840733935941204046565215359660889412018928825585107180342305573239486761001695388156787051102835886892342785778362061112337285836144660622026149227493229465752926400989869954235214982947907697515917258280720311786136306329178121094457891048973315014715780051467195414312743135310309394311743837599575083699949946438391144254420151620956917836607239720643398052390312602128305659400609181845507247985096446604576772270125032400458122008342918826309599337492514386390263851219129499897520341638745807187259350396511001485453832435205704850897855495762521284284963120949294100952686437953995019841642595227012176440151641043314795361793041396409847182920414717358205897675454566061468275763408097803171705434002115705397711481237034723033328482307220887900798425918502496626529492409322884612102280372584544501928453049859525878342322054633171426621065298222141227913965825452545440709967818088569635109742491870170223687326639814154414827103163050968254153134888742506157909465471722019664506342999545280268602199652962662746843529835766542477804305808410356022387317545142425337595309096025642891717072713982698914425797010723300220988597138998733104559923717048500490665383153309871531265259583957382653881851947146135452963674226260415050226420658469506145076752561185830545162582459358074637191615840781187781403840845464086884952651480588373031308126531136379143262972750534966870872992145792830360007463189409385869910855345867582903180147592891576871408233890998978526709081522695506199067366150357401498715763182655702084005410845198248040681738745484320236277578367192237601934506495154676037318471641612192280075737927864962944376768985699863505437519724346323572741920286120409715384658146576812898301571502567292880380777360308976025305253970379601377653894364508552617492358847092588551644029879447369614395115534647272484696131583434784137611047225648650653323089841434211418520371451384865613618517753227374215953134901312941930459390804419605992968877395207859310708079070559744157090944695526909010956942235583282184201173549501528463797515988947457925419437148232411142047578352233935307288122359105478080182262618686860516228150084470366560246066384468226014899689984886564436297262158059036749149358353441620506237360881937940171858884709391085201837697718952711281712164545036897332165311234001444999459299047535034230890597259220137345263611553048962852135530569095966568387225137785557752862083583239841843281103526488724240404588458802979005169834401717207356706921099634452072290697714558246661519586874117194979223663766478158575440343898729516729818045384816992333648621439704492464212256496197880792421390111212381114654121136451047074032572778386298356881948490885418925376433599432867866668365555546277886725890188428092625250646345022875718411339883564149856991483137090595686214391275958680690831551228934434020455589919382034794711600776141834992625077016152207374334258613594476513616927221583564317706762550224581276010539404713867288235511044276998240059712948000756657228689260081647791197438651212360242789699701632663410044852695991669261313430093956968183765146151203672525714175480750318400443778067280378757039484695623763834200598199435395427988680067064254693277963098024008599363901605327828938264823999731139500142287016820219368572692658873973262798619086000815080384079555331912331868043996874881604647743246388532593144699933510504608852006230281594435074748872023325409826615734570581430550725364790474305910713613777875440912288112092056425531465264041962738318162479374014795296022151617600791632946919136519759078487011605579901492257377098941523809906000811310321464190932048836727170890363812122491675297158749740661055822329068051574067112583965037176200544218278410197478639428872610248157780095572535027250139087444959886819218220545442506146540958846675659487911191821965170685741082004998259839543677503932442714355424932879793980866176490424787852493707335037397947196373912563974875287046963532616666553321461643309986296302739257942050522936254734396204512358729636155965165199993664211648314473020448426128860442781417791832695086715473807452758622960191688277904843752049313482361700251100670890397109373819828562787685403422748314325604548105444621108118161942655226584922093117662745495914369577221936038173276027784217835138487312966307492235603405221588219568377435658713739587276309828723739713608930807022769114981479042829444686236750562529540290778435718143817518806549417265699529593850639047126327430395932309952424929607313005446088933723630792848124698312133883585219573668051189804287079752423939475437527855963015812165218483215794606311997502731402282946325948152877552598027
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 5,688-digit prime (357 intermediate primes).

Certified number5,688-digit prime
Certificatedownload
Certificate chainshow step 67 of 357

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008647888501 --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":1100000008647888501},"decimal":true,"detail":2}}'