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A065823
Numbers k such that 6*phi(k) = 5*sigma(k).
2
11, 527, 923, 36859, 40549, 55309, 88519, 120139, 138301, 280579, 293501, 313807, 529789, 719927, 2458859, 4864117, 6191413, 6811243, 7297877, 8402663, 8624107, 9487477, 10475821, 12356441, 12940957, 13624717, 13971229, 14869033, 15293137
OFFSET
1,1
COMMENTS
Not all terms are squarefree: a(74) = 137640191 = 13^2 * 89 * 9151. - Charles R Greathouse IV, Nov 13 2015
Apart from the first term, no terms are divisible by 2, 3, 5, 7, or 11. - Charles R Greathouse IV, Nov 13 2015
LINKS
Harry J. Smith and Charles R Greathouse IV, Table of n, a(n) for n = 1..651 (first 70 terms from Smith)
PROG
(PARI) n=0; for (m=1, 10^9, if (6*eulerphi(m) == 5*sigma(m), write("b065823.txt", n++, " ", m); if (n==70, return))) \\ Harry J. Smith, Nov 01 2009
(PARI) is(n)=my(f=factor(n)); 6*eulerphi(f)==5*sigma(f) \\ Charles R Greathouse IV, Nov 13 2015
CROSSREFS
Subsequence of A008364.
Sequence in context: A139198 A004800 A322065 * A233198 A358162 A049654
KEYWORD
nonn
AUTHOR
Labos Elemer, Nov 23 2001
EXTENSIONS
Terms a(16)-a(29) from Harry J. Smith, Nov 01 2009
STATUS
approved