1,2

Comments from Huen Yeong Kong (cosmology(AT)pacific.net.sg), Sep 19 2008 (Start): Consider the sequence with the first eight terms deleted: 13, 14, 15, 16, 17, 23, 24, 25, 26, 27, 33, 34, 35, 36, 37, 43, 44, 45, 46, 47, 53, 54, 55, ...

This sequence extends to infinity starting from the first quintuplet cluster of 13,14,15,16,17 with higher clusters separated by multiples of 10 intervals. This sequence extended to infinity is completely devoid of twin primes.

Example: For n = 10, the sequence generated is: [[13, 14, 15, 16, 17], [23, 24, 25, 26, 27], [33, 34, 35, 36, 37], [43, 44, 45, 46, 47], [53, 54, 55, 56, 57], [63, 64, 65, 66, 67], [73, 74, 75, 76, 77], [83, 84, 85, 86, 87], [93, 94, 95, 96, 97]]

Using Macsyma Symbolic Software we can write: makelist( [6+i*10-10-3,6+i*10-10-2,6+i*10-10-1, 6+i*10-10, 6+i*10-10+1], i,2,n); (End)

Adjacent sequences: A032983 A032984 A032985 this_sequence A032987 A032988 A032989

Sequence in context: A033087 A084589 A165306 this_sequence A032977 A133245 A033080

nonn,base

Clark Kimberling (ck6(AT)evansville.edu)