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A362841
Numbers with at least one 5 in their prime signature.
1
32, 96, 160, 224, 243, 288, 352, 416, 480, 486, 544, 608, 672, 736, 800, 864, 928, 972, 992, 1056, 1120, 1184, 1215, 1248, 1312, 1376, 1440, 1504, 1568, 1632, 1696, 1701, 1760, 1824, 1888, 1944, 1952, 2016, 2080, 2144, 2208, 2272, 2336, 2400, 2430, 2464, 2528, 2592, 2656, 2673, 2720, 2784, 2848, 2912, 2976
OFFSET
1,1
COMMENTS
Contains all odd multiples of 2^5: Each second term of A174312 is in this sequence.
The asymptotic density of this sequence is 1 - Product_{p prime} (1 - 1/p^5 + 1/p^6) = 0.01863624892... . - Amiram Eldar, May 05 2023
LINKS
EXAMPLE
Contains 2^5, 2^5*3, 2^5*5, 2^5*7, 3^5, 2^5*3^2, 2^5*11, 2^5*13, 2^5*3*5, 2*3^5, etc.
MATHEMATICA
Select[Range[3000], MemberQ[FactorInteger[#][[;; , 2]], 5] &] (* Amiram Eldar, May 05 2023 *)
CROSSREFS
Cf. A038109 (at least one 2), A176297 (at least one 3), A050997 (subsequence), A178740 (subsequence), A179646 (subsequence), A179667 (subsequence), A179671 (subsequence), A174312.
Sequence in context: A259715 A195088 A050429 * A044219 A044600 A189884
KEYWORD
nonn
AUTHOR
R. J. Mathar, May 05 2023
STATUS
approved