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 #1100000004822927938 3,630 digits created 2023-10-24

Value

516748687027337980733867074223223697043233239357898143755859902843849683484823635828421544710615326739326153203112035909577834666156440267267926858751695041471351111648200868431902111341424239297466425196301339391728457537141212261179050232316642360391462235564088139150138126760113210136324983007858242302575443384905019957124868334305172934063301566194245130484748912048257296188229704285130418271979858622006024536954538339983775290234992597128361309433929193534454791530755454300509878977638723669946468690469819883178547835812042247803245987159400549339746387228567312491953811036500491667766916761255266847698692359923388824900482643246249231325797133093235804981356043511546073139841519475142402800751882668663313598954639782721834339429201621080383162449741972250887901907881193923474842154477138252920668590843546655318982413000568404617506746768479623926015289859818397952066901333859813108679732086625899390385948637737373644793504247201520469512873635522571525246242004474368588680606681749051615497055333331252000089684747791947616193609742886537810972544250357514465494138893418050680104530551662859079402251837227817835655112122908403798309470258809483045727432108872121007073985801594322200397033039439246103011792264721516646051878819950046115484401576724876379180153015478223656996854280866319901868979316057299162057647133456914401982371663335855271982350388876453894627778021414984821402321895735125202546217711897125646024369358227119236928331412972360879113461077531235219040006397808567652658423086845862103643510525504054080274582608378262743394727425768494683035825527589777840670604499182394164644052844990973476686021175014312001852275082890313818280904661354633945385615688835631436731278232344796180112931803012485429131229039480272391082621119944395210674130338237042470871050030578568197292740883470025611567417507201286458086043969721719889131430318759638532337642690649589692572364194164154227524279781925652705754623240320223506654662704793763766337169824815288602666405435035774030098308879261661191667395800839124087351030161226672625785956433829889925868769978129081742788616703688766856761051575873661814602695468888628589627187888731612396786422119385084621235253797660340805889603065663429789606166796165965002257475308503168410026628209174660010079241233974085873702935734078861362130667186856695794128519546006804342104112946882173827615392474136380551482290416981133897792856560193392839286595516431675518342374334245075842255450441597785905688259499436078480770304800834441272738182783142597994595933055644512248508356846878592514277650108214076410115193183782440244715872299650718488375798495985090010695741370908212461527422902459137391552646144471788480343926894469192729714143993206053316329590470974452287026335856352096840313700578587077242460586822900187343402248386320823509353470444490957432195077522449033078906358112879031688858417676770452231417172721263670003785153178956775918812677610341618162797963891499343456849117384769139037812764479966383484537123682961148604898299301535010339973905267102926186390115315313560725995124662961132602286982595786487631167978592586788298930149227475409566853902326110824243769389728341569405918127460871605059725155539951324549808020464647477811277657445382162842323302228465045913042907222127438284453778399634824073963322515173031687265684454492674417207940935847693117144335532676698610031108904759196801126749117055390012607571537754070738681302559009341531712608019098935666166686548559749205605373224622417102683700019420346713554083135367369999849424359403331103961927927723572984180115203880005007379579580803358857320136257859
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 101 of the certificate chain of a 4,591-digit prime (557 intermediate primes).

Certified number4,591-digit prime
Certificatedownload
Certificate chainshow step 101 of 557

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822927938 --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":1100000004822927938},"decimal":true,"detail":2}}'