A141699 Arrange the distinct prime divisors of each non-prime-power positive integer n in order from smallest to largest. n is included in sequence A141699 if the differences between consecutive primes in the arrangement of primes are all non-prime-powers.

34, 39, 46, 51, 55, 68, 69, 74, 82, 85, 87, 91, 92, 93, 94, 95, 106, 111, 115, 117, 118, 119, 123, 129, 133, 134, 136, 141, 142, 145, 148, 153, 155, 158, 159, 164, 177, 178, 183, 184, 187, 188, 194, 202, 203, 205, 207, 212, 213, 214, 215, 217, 219, 226, 235

Offset

1,1

Links

Table of n, a(n) for n=1..55.

Example

1564 has the prime factorization 2^2 *17^1 *23^1. So the distinct primes dividing 1564 are 2, 17 and 23. 17-2 = 15, which is not a power of a prime. 23 -17 = 6, which is also not a power of a prime. So 1564 is included in this sequence.

Crossrefs

Cf. A024619.

Sequence in context: A250738 A281239 A295750 * A296096 A337695 A045044

Adjacent sequences: A141696 A141697 A141698 * A141700 A141701 A141702

Keyword

nonn

Author

Leroy Quet, Jun 30 2008

Extensions

Extended by Ray Chandler, Jun 22 2009

Status

approved