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A084970
Numbers whose smallest prime factor is 13.
13
13, 169, 221, 247, 299, 377, 403, 481, 533, 559, 611, 689, 767, 793, 871, 923, 949, 1027, 1079, 1157, 1261, 1313, 1339, 1391, 1417, 1469, 1651, 1703, 1781, 1807, 1937, 1963, 2041, 2119, 2171, 2197, 2249, 2327, 2353, 2483, 2509, 2561, 2587, 2743, 2873
OFFSET
1,1
FORMULA
a(n) = a(n-480) + 30030 = a(n-1) + a(n-480) - a(n-481). - Charles R Greathouse IV, Nov 19 2014
Lim_{n->infinity} a(n)/n = A038111(6)/A038110(6) = 1001/16 = 62.5625. - Vladimir Shevelev, Jan 20 2015
a(n) = 13*A008365(n).
EXAMPLE
a(2) = 13*13, a(3) = 13*17.
MATHEMATICA
Select[ 13Range@ 225, GCD[#, 2310] == 1 &] (* Robert G. Wilson v, Dec 18 2014 *)
PROG
(PARI) is(n)=n%13==0 && gcd(n, 2310)==1 \\ Charles R Greathouse IV, Nov 19 2014
CROSSREFS
Sixth row of A083140.
Cf. A084967 (5), A084968 (7), A084969 (11), A332799 (17), A332798 (19), A332797 (23), A008365 (13-rough numbers).
Sequence in context: A171318 A078362 A157381 * A209226 A208503 A207696
KEYWORD
nonn,easy
AUTHOR
Robert G. Wilson v, Jun 15 2003
EXTENSIONS
More terms from David Wasserman, Oct 19 2004
STATUS
approved