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A270753 The least prime q > p for which n = p + q - r for some prime r, where p = A270003(n). 3
5, 3, 3, 5, 5, 7, 7, 11, 11, 11, 11, 13, 13, 17, 17, 17, 17, 19, 19, 23, 23, 23, 23, 29, 29, 29, 29, 29, 29, 31, 31, 37, 37, 37, 37, 37, 37, 41, 41, 41, 41, 43, 43, 47, 47, 47, 47, 53, 53, 53, 53, 53, 53, 59, 59, 59, 59, 59, 59, 61, 61, 67, 67, 67, 67, 67 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

EXAMPLE

n   p   q   r

1   3   5   7

2   2   3   3

3   2   3   2

4   2   5   3

5   2   5   2

6   2   7   3

7   2   7   2

MATHEMATICA

t = Join[{{1, {3, 5, 7}}, {2, {2, 3, 3}}}, Table[If[PrimeQ[n], {n, {2, n, 2}}, p = If[EvenQ[2 + NextPrime[n, 1] - n], 3, 2]; NestWhile[# + 1 &, 1, ! PrimeQ[r = (p + (q = NextPrime[n, #])) - n] &]; {n, {p, q, r}}], {n, 3, 300}]];

Map[#[[2]][[1]] &, t] (* p, A270003 *)

Map[#[[2]][[2]] &, t] (* q, A270753 *)

Map[#[[2]][[3]] &, t] (* r, A271353 *)

(* Peter J. C. Moses, Apr 26 2016 *)

CROSSREFS

Cf. A000040, A270003, A271353.

Sequence in context: A182129 A010038 A232109 * A198923 A056597 A019624

Adjacent sequences:  A270750 A270751 A270752 * A270754 A270755 A270756

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 26 2016

STATUS

approved

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Last modified May 31 00:53 EDT 2020. Contains 334747 sequences. (Running on oeis4.)