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 A337489 a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)) sets a new record. A337488 are the corresponding values of k. 6
 3, 7, 29, 113, 523, 1151, 1327, 9551, 15683, 19609, 25471, 31397, 156007, 360653, 370261, 492113, 1349533, 1357201, 1357333, 1562051, 2010733, 4652507, 17051707, 17051887, 20831323, 47326693, 47326913, 122164747, 189695893, 191912783, 387096133, 428045741, 436273291 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE List of first terms:    a(n) pi(a(n))  average-median      3,      2,   1/3  = (2 + 3 + 5)/3 - 3      7,      4,   2/3  = (5 + 7 + 11)/3 - 7     29,     10,  -4/3  = (23 + 29 + 31)/3 - 29    113,     30,  10/3    523,     99,  16/3   1151,    190, -20/3   1327,    217,  28/3   9551,   1183,  32/3 PROG (PARI) a337489(limp) = {my(p1=0, p2=2, p3=3, s=p1+p2+p3, d=0); forprime(p=5, limp, s=s-p1+p; my(dd=abs(s/3-p3)); if(dd>d, print1(p3, ", "); d=dd); p1=p2; p2=p3; p3=p)}; a337489(500000000) CROSSREFS Cf. A006562, A034961, A075540, A292530, A337438, A337439, A337488. Sequence in context: A171180 A151358 A110613 * A088095 A333392 A217576 Adjacent sequences:  A337486 A337487 A337488 * A337490 A337491 A337492 KEYWORD nonn AUTHOR Hugo Pfoertner, Aug 29 2020 STATUS approved

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Last modified June 15 02:02 EDT 2021. Contains 345042 sequences. (Running on oeis4.)