id:A141698 - OEIS Search Results

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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).

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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 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)`
	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: A005279 A129512 A116359 this_sequence A091011 A104210 A066312` `Adjacent sequences: A141695 A141696 A141697 this_sequence A141699 A141700 A141701`
	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 November 27 22:38 EST 2009. Contains 167602 sequences.

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