A141698 Arrange the distinct prime divisors of each non-prime-power positive integer n in order from smallest to largest. n is included in sequence A141698 if the differences between consecutive primes in the arrangement of primes are all powers of 2 (including possibly 1).

6, 12, 15, 18, 21, 24, 30, 33, 35, 36, 42, 45, 48, 54, 57, 60, 63, 65, 66, 72, 75, 77, 84, 90, 96, 99, 105, 108, 114, 120, 126, 132, 135, 143, 144, 147, 150, 161, 162, 168, 171, 175, 180, 185, 189, 192, 195, 198, 201, 209, 210, 216, 221, 225, 228, 231, 240, 245, 252

Offset

1,1

Links

Table of n, a(n) for n=1..59.

Example

84 has the prime factorization 2^2 *3^1 *7^1. So the distinct primes dividing 84 are 2,3 and 7. 3-2=1, a power of 2. And 7-3 = 4, also a power of 2. So 84 is included in this sequence.

Crossrefs

Cf. A024619, A000079.

Sequence in context: A343207 A362011 A116359 * A306711 A290965 A315615

Adjacent sequences: A141695 A141696 A141697 * A141699 A141700 A141701

Keyword

nonn

Author

Leroy Quet, Jun 30 2008

Extensions

Extended by Ray Chandler, Jun 22 2009

Status

approved