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Search: id:A113729
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| A113729 |
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a(n) is the integer between p(n) and p(n+3) which is divisible by (p(n+3)-p(n)), where p(n) is the n-th prime. |
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2
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| 5, 8, 8, 10, 16, 20, 24, 24, 28, 36, 36, 40, 48, 48, 56, 56, 60, 72, 72, 72, 80, 90, 90, 98, 100, 104, 110, 120, 110, 120, 132, 144, 140, 144, 154, 160, 160, 176, 168, 180, 182, 192, 192, 198, 208, 224, 216, 230, 228, 240, 234, 252, 242, 252, 266, 266, 276, 276
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OFFSET
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1,1
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COMMENT
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Exactly one integer exists between each p(n+3) and p(n) which is divisible by (p(n+3)-p(n)).
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FORMULA
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a(n)=p(n+3) - (p(n) (mod p(n+3)-p(n))).
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EXAMPLE
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Between the primes 19 and 31 is the composite 24, and 24 is divisible by (31-19)=12. So 24 is in the sequence.
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MATHEMATICA
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f[n_] := Block[{p = Prime[n], q = Prime[n + 3]}, q - Mod[p, q - p]]; Table[ f[n], {n, 58}] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A113709, A113728.
Sequence in context: A069997 A073822 A031165 this_sequence A097523 A021633 A101079
Adjacent sequences: A113726 A113727 A113728 this_sequence A113730 A113731 A113732
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Nov 08 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 09 2005
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