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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. +0
1
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 (list; graph; listen)
OFFSET

1,1

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

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: A031172 A045561 A067190 this_sequence A045044 A108303 A062695

Adjacent sequences: A141696 A141697 A141698 this_sequence A141700 A141701 A141702

KEYWORD

nonn

AUTHOR

Leroy Quet, Jun 30 2008

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 22 2009

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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