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 #1100000005813190437 2,535 digits created 2024-01-27

Value

112851272305047325790606653097316777146822427542373033667188909942849671216281235158927820056095158429616549235490869745775035833860717755144521501750508326651428759894340018352195720862503524863032025876181037342751211593384851927009432090744945243986942389870128239732503635081507446537997358017551839321964018232686828737499113519375845661205372977278288121107420690780082848427049403737105617036130313861488418398789680087468987785288104839600150764257959497917263172755785412610617055428954760560750575604125718867102426289319923619848223239841498678282957534127444003681607367198958073089078708693663698662269802498597493807706559803453776536455525018827869073827608853015376780469148956234919844554435293294609264277800508182600153731906886332900454665688544610737788936722971973195798297896002291765901943720270751729192576310626859424713273147513246184378910012568372052964937159925573755726486312826459536552661600354722262962329616231590910890921005524645225375919753587880007670499500552087083147214151484033779707312322289850658656873885126162210332002317798877243124768870297050772332878120990466801080541488936154526826355154254336154286536649490904006342169661152783827753386555226760707790520097573339698364245220041395468416295922786668603762681749462181158830912262768011355905137394225813782891607425177229924149468928243064352317653093967517224800926751290691018076016436552301467332928365800047164924185547012761168001768579536134660796062073671121409238765963946701654829436149567778309490632918213613639164048374746995633314705447945178498652019568024700039499815507061397386245832560771352388698474329374595528632560465209700413196949122883951223258765052953460442020297911153167176116315616864295205739354490086893038057847127750732772062247428480962298986236962040752805323842343671060880579716103272140809218066115482920283422671522274181305981826261638252753839043362652962623509887696403885291098725444596306171591324229370090233767549194151895984709812018572305920265062259779072978192572828002784052691865744452125004125812483993896564279871835704177884566548121835196844794166301295287654264506565095996392905664878718407928742054101020267371911371757273963302537270204902479620940726593518680022470933819200239121759067527935854019938822641844449396045313720944330390392983875420512586354431254825672592736869893813322350058739203296703908004857484555381051269384696090115665044269631944968155761883882339405538291389013549605862660718393285917875525840839770441524508067365431940106877545867372731111
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 3,650-digit prime (186 intermediate primes).

Certified number3,650-digit prime
Certificatedownload
Certificate chainshow step 68 of 186

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813190437 --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":1100000005813190437},"decimal":true,"detail":2}}'