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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 (list; graph; refs; listen; history; text; internal format)
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

Amiram Eldar, Table of n, a(n) for n = 1..10000

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

Adjacent sequences:  A332796 A332797 A332798 * A332800 A332801 A332802

KEYWORD

nonn,easy

AUTHOR

Frank Ellermann, Feb 24 2020

STATUS

approved

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Last modified April 20 18:08 EDT 2021. Contains 343135 sequences. (Running on oeis4.)