A073735 Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.

579, 968, 1065, 1221, 1428, 1604, 2092, 2117, 2126, 2236, 2406, 2872, 2935, 3048, 3330, 3496, 4085, 4194, 4434, 4697, 4887, 5148, 5446, 5846, 5910, 6484, 6846, 7355, 7448, 7468, 7773, 7939, 8324, 8746, 8923, 8957, 9018, 9093, 9369, 10242, 10318

Offset: 1

Author

David Wasserman, Aug 06 2002

Keywords

• easy
• nonn

Comments

These are the k such that A073734(k) is not a prime power.

Examples

			A064413(578) = 620, which is divisible by the primes 2, 5 and 31. So by definition, A064413(579) is the smallest number not already in A064413 that is divisible by 2, 5, or 31. This number is 610, which is divisible by both 2 and 5, so these are both called controlling primes of A064413(579).
		

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000
• Michael De Vlieger, Mathematica code for this sequence, based on Lagarias-Rains-Sloane 2002 paper, page 4-5.
• J. C. Lagarias, E. M. Rains and N. J. A. Sloane, The EKG sequence, Exper. Math. 11 (2002), 437-446; arXiv:math/0204011 [math.NT], 2002.
• Index entries for sequences related to EKG sequence

Crossrefs

Cf. A064413, A064740, A073734.