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Amiram Eldar, <a href="/A374590/b374590_1.txt">Table of n, a(n) for n = 1..10000</a>
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Amiram Eldar, <a href="/A374590/b374590_1.txt">Table of n, a(n) for n = 1..10000</a>
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Numbers whose maximal maximum exponent in their prime factorization is an evil number (A001969).
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Number Numbers whose maximal exponent in their prime factorization is an evil number (A001969).
Amiram Eldar, <a href="/A374590/b374590_1.txt">Table of n, a(n) for n = 1..10000</a>
allocated for Amiram EldarNumber whose maximal exponent in their prime factorization is an evil number (A001969).
8, 24, 27, 32, 40, 54, 56, 64, 72, 88, 96, 104, 108, 120, 125, 135, 136, 152, 160, 168, 184, 189, 192, 200, 216, 224, 232, 243, 248, 250, 264, 270, 280, 288, 296, 297, 312, 320, 328, 343, 344, 351, 352, 360, 375, 376, 378, 392, 408, 416, 424, 440, 448, 456, 459
1,1
The asymptotic density of this sequence is Sum_{k in A001969} (1/zeta(k+1) - 1/zeta(k)) = 0.12101890210392912747... .
evilQ[n_] := EvenQ[DigitCount[n, 2, 1]]; q[n_] := evilQ[Max[FactorInteger[n][[;; , 2]]]]; Select[Range[500], q]
(PARI) is(n) = n > 1 && !(hammingweight(vecmax(factor(n)[, 2])) % 2);
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nonn,easy,base
Amiram Eldar, Jul 12 2024
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allocated for Amiram Eldar
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