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- Highly_cototient_number abstract "In number theory, a branch of mathematics, a highly cototient number is a positive integer k which is above one and has more solutions to the equation x − φ(x) = k, than any other integer below k and above one. Here, φ is Euler's totient function. There are infinitely many solutions to the equation for k = 1 so this value is excluded in the definition. The first few highly cototient numbers are:2, 4, 8, 23, 35, 47, 59, 63, 83, 89, 113, 119, 167, 209, 269, 299, 329, 389, 419, 509, 629, 659, 779, 839, 1049, 1169, 1259, 1469, 1649, 1679, 1889, ... (sequence A100827 in OEIS)There are many odd highly cototient numbers. In fact, after 8, all the numbers listed above are odd, and after 167 all the numbers listed above are congruent to 29 modulo 30.The concept is somewhat analogous to that of highly composite numbers. Just as there are infinitely many highly composite numbers, there are also infinitely many highly cototient numbers. Computations become harder, since integer factorization does, as the numbers get larger.".
- Highly_cototient_number wikiPageID "1372255".
- Highly_cototient_number wikiPageLength "3038".
- Highly_cototient_number wikiPageOutDegree "27".
- Highly_cototient_number wikiPageRevisionID "679065291".
- Highly_cototient_number wikiPageWikiLink 113_(number).
- Highly_cototient_number wikiPageWikiLink 119_(number).
- Highly_cototient_number wikiPageWikiLink 167_(number).
- Highly_cototient_number wikiPageWikiLink 1_(number).
- Highly_cototient_number wikiPageWikiLink 209_(number).
- Highly_cototient_number wikiPageWikiLink 23_(number).
- Highly_cototient_number wikiPageWikiLink 269_(number).
- Highly_cototient_number wikiPageWikiLink 2_(number).
- Highly_cototient_number wikiPageWikiLink 35_(number).
- Highly_cototient_number wikiPageWikiLink 47_(number).
- Highly_cototient_number wikiPageWikiLink 4_(number).
- Highly_cototient_number wikiPageWikiLink 59_(number).
- Highly_cototient_number wikiPageWikiLink 63_(number).
- Highly_cototient_number wikiPageWikiLink 83_(number).
- Highly_cototient_number wikiPageWikiLink 89_(number).
- Highly_cototient_number wikiPageWikiLink 8_(number).
- Highly_cototient_number wikiPageWikiLink Category:Integer_sequences.
- Highly_cototient_number wikiPageWikiLink Equation.
- Highly_cototient_number wikiPageWikiLink Eulers_totient_function.
- Highly_cototient_number wikiPageWikiLink Highly_composite_number.
- Highly_cototient_number wikiPageWikiLink Integer.
- Highly_cototient_number wikiPageWikiLink Integer_factorization.
- Highly_cototient_number wikiPageWikiLink Mathematics.
- Highly_cototient_number wikiPageWikiLink Modular_arithmetic.
- Highly_cototient_number wikiPageWikiLink Number_theory.
- Highly_cototient_number wikiPageWikiLink Prime_factor.
- Highly_cototient_number wikiPageWikiLink Prime_number.
- Highly_cototient_number wikiPageWikiLinkText "Highly cototient number".
- Highly_cototient_number wikiPageWikiLinkText "highly cototient number".
- Highly_cototient_number wikiPageUsesTemplate Template:Citation_needed.
- Highly_cototient_number wikiPageUsesTemplate Template:Classes_of_natural_numbers.
- Highly_cototient_number wikiPageUsesTemplate Template:OEIS.
- Highly_cototient_number wikiPageUsesTemplate Template:Prime_number_classes.
- Highly_cototient_number wikiPageUsesTemplate Template:Reflist.
- Highly_cototient_number wikiPageUsesTemplate Template:Totient.
- Highly_cototient_number subject Category:Integer_sequences.
- Highly_cototient_number hypernym K.
- Highly_cototient_number type School.
- Highly_cototient_number type Class.
- Highly_cototient_number type Combinatoric.
- Highly_cototient_number type Integer.
- Highly_cototient_number type Redirect.
- Highly_cototient_number comment "In number theory, a branch of mathematics, a highly cototient number is a positive integer k which is above one and has more solutions to the equation x − φ(x) = k, than any other integer below k and above one. Here, φ is Euler's totient function. There are infinitely many solutions to the equation for k = 1 so this value is excluded in the definition.".
- Highly_cototient_number label "Highly cototient number".
- Highly_cototient_number sameAs Q3879385.
- Highly_cototient_number sameAs Nombre_hautement_coïndicateur.
- Highly_cototient_number sameAs Numero_altamente_cototiente.
- Highly_cototient_number sameAs m.04xk4_.
- Highly_cototient_number sameAs Q3879385.
- Highly_cototient_number wasDerivedFrom Highly_cototient_number?oldid=679065291.
- Highly_cototient_number isPrimaryTopicOf Highly_cototient_number.