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A210700
A047160(3n): smallest m >= 0 with both 3n - m and 3n + m prime.
3
0, 1, 2, 1, 2, 1, 2, 5, 4, 1, 4, 5, 2, 1, 2, 5, 8, 7, 4, 1, 4, 5, 2, 1, 4, 5, 2, 5, 14, 7, 4, 7, 2, 1, 2, 1, 2, 13, 10, 7, 14, 13, 2, 5, 4, 1, 10, 5, 10, 1, 4, 7, 8, 5, 2, 5, 8, 7, 4, 1, 10, 5, 8, 1, 2, 1, 10, 7, 16, 13, 14, 17, 8, 11, 2, 1, 2, 5, 4, 1, 14, 5
OFFSET
1,3
COMMENTS
This sequence is interesting because, apart from a(2)=1, A155764 appears to consist only of multiples of three. Equivalently, since n and A047160(n) are coprime (for nonzero A047160(n)), no multiple of three appears to occur in A155765.
MATHEMATICA
sml[n_]:=Module[{m=0}, While[!PrimeQ[3n-m]||!PrimeQ[3n+m], m++]; m]; Array[ sml, 100] (* Harvey P. Dale, Sep 23 2022 *)
CROSSREFS
Cf. A210701 (location of records in this sequence), A210702 (records in this sequence).
Sequence in context: A332510 A001314 A020733 * A215745 A059913 A329602
KEYWORD
nonn,easy
AUTHOR
Jason Kimberley, Oct 15 2012
STATUS
approved