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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 #1100000008793173109 3,228 digits created 2026-05-07

Value

775745472381952331190819520170159956897516391180690213898214411315356561603765545828189675201146543750303115752433253253307825631065484812238242210185895312348156145764130364586770217810880203666126003140201488005750906413826680415879953280444318934004236967864641639291138134704961013593207056061342860757673887598248015258805092170746312480571482946181754730036337075468711196953106719683566647143715396897448006902267939244049143799415862794989269755486428245339146180924711364424714217189987943495501564505571069840754174373641683743451939178109861211094419750423952944731679810376112561182904026389775681348836144155083381243048365802824405256760224806068601260528477190446474550606745043633102126131801838864452456387632082693833043698261681811501587844491479764980170456731469856587720925240599037517272218058741608930987880804526363931287815921178671727332522488660205405411452446680599791253985317086235162524481012049855957086798358328304284595690722744134360650992546217057384139396010159802308161645320139042598598262115676072268468062481046971588442366419572970820022168185895793021123439927742703499663898853741065179669925493532662287790117886986407842337458414052855820394253778545842507733488902676304161394377266230261006433939214467728232093122034870050590359961379626553272931058459835967612399963273638335978587389851772087249114560917345272848579765054448533299464703787152119538615156936560248050498027923206745773435643997094487355844058474424572099595976416864686855513442515874378932338566593649300051266284888486363479935956585821587794539961148570186898232706968503960424804235518495702354719689302639676367153821807403517013639691959068577603029290921525258119446108839225381179946628893236007707676553595572879054040673232219314241335077441932018091993785716500013671430956018114777899897295859216146938875427083497966557021990735162825060757339526119325369584809242631345797093311340611293909227203410001866520913374643156766811500446302026990753664881405517030629781834583894338124984317205616462139022248642920771753894250033909122523230219330497470185520787263786920899034942365259467560460164585504257252943247350959386722085182320521886107511335524934758084088961790484122124662933821628875752096173556835906024770518448502287543497030408871841478924730280597749385133760853243763520349366735873825792895446435153226142816228605656611802018448541326506058079217132612004853258376408725022701933377473646538998214103995910290391840401833203539351611936098528458703705841512681471383761494106838784697177391087843399190655127226866077934592348085335381143397903697870777734606763538488801796467171970242294352984657017938484279553445309289096226221660024366505730048924055003530123564882930371417976748106137725668860549965520084808230448749303987669945205116628443865228200862570441049336111901207771663526870176732710598571087778834899387847569936610895598710578433462827740652416594304340485153065289231916616747196760926720492648457956672661448339712912185844741865954230367427591160164948789671199123305351306689099352179204465262803072722029950952086048841468977383068985280108454772787454089025522752669740167621571763541684249134953532370470949407220564542793825670875265436534481781761
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 3,895-digit prime (244 intermediate primes).

Certified number3,895-digit prime
Certificatedownload
Certificate chainshow step 44 of 244

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793173109 --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":1100000008793173109},"decimal":true,"detail":2}}'