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A332799
Numbers whose smallest prime factor is 17.
6
17, 289, 323, 391, 493, 527, 629, 697, 731, 799, 901, 1003, 1037, 1139, 1207, 1241, 1343, 1411, 1513, 1649, 1717, 1751, 1819, 1853, 1921, 2159, 2227, 2329, 2363, 2533, 2567, 2669, 2771, 2839, 2941, 3043, 3077, 3247, 3281, 3349, 3383, 3587, 3791, 3859, 3893
OFFSET
1,1
COMMENTS
The asymptotic density of this sequence is 192/17017. - Amiram Eldar, Dec 06 2020
REFERENCES
Emmanuel Desurvire, Classical and Quantum Information Theory: An Introduction for the Telecom Scientist, Cambridge University Press, 2009, table 20.5 p. 421.
LINKS
FORMULA
a(n) = 17*A008366(n).
EXAMPLE
a(2) = 17*17, a(3) = 17*19.
MATHEMATICA
17 * Select[Range[230], CoprimeQ[#, 30030] &] (* Amiram Eldar, Feb 24 2020 *)
PROG
(Rexx)
P = 17 ; S = P
do N = P by 2 while length( S ) < 255
do I = 1 until P = X
X = PRIME( I )
if P = X then leave I
if N // X = 0 then iterate N
end I
S = S || ', ' P*N
end N
say S ; return S
CROSSREFS
Cf. A084967 (5), A084968 (7), A084969 (11), A084970 (13), A332798 (19), A332797 (23), A008366 (17-rough numbers).
Sequence in context: A171322 A078366 A309803 * A045607 A045606 A171291
KEYWORD
nonn,easy
AUTHOR
Frank Ellermann, Feb 24 2020
STATUS
approved