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 A054643 Primes prime(n) such that prime(n) + prime(n+1) + prime(n+2) == 0 (mod 3). 4
 3, 47, 151, 167, 199, 251, 257, 367, 503, 523, 557, 587, 601, 647, 727, 941, 971, 991, 1063, 1097, 1117, 1181, 1217, 1231, 1361, 1453, 1493, 1499, 1531, 1741, 1747, 1753, 1759, 1889, 1901, 1907, 2063, 2161, 2281, 2393, 2399, 2411, 2441, 2671, 2897, 2957 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The 2 differences of these 3 primes should be congruent of 6, except the first prime 3, for which 3 + 5 + 7 = 15 holds. Sequences like A047948, A052198 etc. are subsequences here. LINKS Zak Seidov, Table of n, a(n) for n = 1..1000 EXAMPLE For prime(242) = 1531, the sum is 4623, the mean is 1541 and the successive differences are 6a=12 or 6b=6 resp. MATHEMATICA Select[Partition[Prime@ Range@ 430, 3, 1], Divisible[Total@ #, 3] &][[All, 1]] (* Michael De Vlieger, Jun 29 2017 *) CROSSREFS Cf. A034961, A034707, A024675, A052288, A047948, A052198. A122535 is a subsequence. Cf. A075541 (for their indices). Sequence in context: A084295 A141850 A003551 * A122535 A058427 A142293 Adjacent sequences:  A054640 A054641 A054642 * A054644 A054645 A054646 KEYWORD nonn AUTHOR Labos Elemer, May 15 2000 STATUS approved

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