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A129823 Four consecutive nonprime odd numbers {n-1,n+1,n+3,n+5}. +0
1
115, 117, 119, 121, 117, 119, 121, 123, 119, 121, 123, 125, 141, 143, 145, 147, 183, 185, 187, 189, 201, 203, 205, 207, 203, 205, 207, 209, 213, 215, 217, 219, 215, 217, 219, 221, 243, 245, 247, 249, 285, 287, 289, 291, 295, 297, 299, 301, 297, 299, 301 (list; graph; listen)
OFFSET

1,1

COMMENT

These quartets seem to corespond to larger Prime gaps: the larger the primes gaps the more runs of of odd nonprimes.

FORMULA

a(n) ={n-1,n+1,n+3,n+5) for both odd and both non-Prime

MATHEMATICA

Flatten[Table[If[OddQ[n - 1] && PrimeQ[n - 1] == False && PrimeQ[n + 1] == False && PrimeQ[n + 3] == False && PrimeQ[n + 5] == False, {{n - 1}, {n + 1}, {n + 3}, (n + 5)}, {}], {n, 2, 300}]]

CROSSREFS

Sequence in context: A060309 A101111 A131603 this_sequence A056035 A105993 A036269

Adjacent sequences: A129820 A129821 A129822 this_sequence A129824 A129825 A129826

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula (rlbagulatfttn(AT)yahoo.com), May 20 2007

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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