A332799 Numbers whose smallest prime factor is 17.

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

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