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Define a number k to occupy a divisor cavity if d(k-1) >d(k) < d(k+1) where d(k) is the number of divisors of k. Sequence gives numbers occupying a divisor cavity.

+0
4

5, 7, 9, 11, 13, 17, 19, 23, 25, 29, 31, 37, 41, 43, 47, 49, 51, 53, 55, 59, 61, 65, 67, 69, 71, 73, 77, 79, 83, 89, 91, 97, 101, 103, 107, 109, 111, 113, 115, 121, 125, 127, 129, 131, 137, 139, 149, 151, 153, 155, 157, 161, 163, 167, 169, 173, 175, 179, 181, 183 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`All primes > 3 are members.`
	EXAMPLE	`17 is in the sequence because d(16) = 5, d(17) = 2, d(18) = 6 and 5 > 2 < 6.`
	CROSSREFS	`Cf. A075026, A075027.` `Sequence in context: A065155 A088502 A081001 this_sequence A075394 A158439 A124112` `Adjacent sequences: A075022 A075023 A075024 this_sequence A075026 A075027 A075028`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 02 2002`
	EXTENSIONS	`Corrected and extended by Jason Earls (zevi_35711(AT)yahoo.com), Sep 04 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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