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A088683
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a(n) = prime(3*n+2) - prime(3*n).
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5
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6, 6, 8, 6, 12, 10, 10, 12, 6, 18, 12, 12, 12, 12, 14, 6, 8, 12, 8, 12, 6, 20, 6, 14, 10, 12, 12, 10, 12, 16, 12, 18, 24, 12, 16, 8, 10, 22, 10, 14, 14, 18, 12, 14, 12, 22, 12, 12, 6, 18, 24, 18, 10, 18, 14, 16, 12, 16, 12, 22, 10, 14, 24, 18, 14, 10, 8, 28, 10, 10, 16, 40, 14, 24, 6
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OFFSET
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1,1
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COMMENTS
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Previous name was: Differences in triples of primes.
Minimal difference is 6 (for 3-tuplet) except first triple. Repeating 6 means successive 3-tuplets, see A088683, A088684..
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LINKS
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FORMULA
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Partition primes in triples starting with 5: {5, 7, 11}, {13, 17, 19}, {23, 29, 31}, {37, 41, 43}, {47, 53, 59}, {61, 67, 71}, {73, 79, 83}, {89, 97, 101}, {103, 107, 109}. Sequence gives differences between lesser and larger primes in triples.
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MATHEMATICA
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#[[3]]-#[[1]]&/@Partition[Prime[Range[3, 300]], 3] (* Harvey P. Dale, Jan 12 2011 *)
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PROG
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(PARI) a(n) = prime(3*n+2) - prime(3*n); \\ Michel Marcus, Oct 05 2013
(Magma) [NthPrime(3*n+2) - NthPrime(3*n): n in [1..80]]; // G. C. Greubel, May 19 2019
(Sage) [nth_prime(3*n+2) - nth_prime(3*n) for n in (1..80)] # G. C. Greubel, May 19 2019
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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