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 A288632 Primes p such that (p+q)/6 is prime, q is the next prime after p. 3
 5, 7, 13, 19, 37, 67, 89, 109, 127, 307, 379, 389, 449, 487, 499, 683, 719, 769, 877, 929, 937, 1009, 1163, 1297, 1523, 1559, 1567, 1831, 1933, 1979, 2153, 2213, 2221, 2269, 2389, 2459, 2659, 2803, 2857, 2909, 3037, 3089 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Among first 2*10^6 primes there are 61953 terms of the sequence; e.g., a(60000)=31320053 and (31320053+31320061)/6=10440019=A000040(691876). Except for the case 7-5=2 the minimal value of first differences is 4. LINKS Zak Seidov, Table of n, a(n) for n = 1..10000 EXAMPLE 5+7=6*2, 7+11=6*3, 13+17=6*5, 19+23=6*7, 37+41=6*11, 67+71=6*23. MATHEMATICA Select[Prime[Range[1000]], PrimeQ[(# + NextPrime[#])/6] &] CROSSREFS Cf. A000040, A001043. Sequence in context: A072677 A117249 A063910 * A189557 A045444 A129782 Adjacent sequences: A288629 A288630 A288631 * A288633 A288634 A288635 KEYWORD nonn AUTHOR Zak Seidov, Jun 12 2017 STATUS approved

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Last modified August 5 05:45 EDT 2024. Contains 374935 sequences. (Running on oeis4.)