A126239 -id:A126239 - cp's OEIS frontend

A126238 Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.

1009, 2789, 4001, 4931, 5431, 5501, 5519, 5839, 6029, 6521, 7103, 7817, 8081, 8147, 8353, 10091, 17011, 18251, 18301, 19751, 21139, 22769, 25013, 25339, 25931, 26681, 27271, 27397, 27791, 28429, 28619, 33149, 33739, 35491, 35521, 36451, 36779

Offset: 1

Artur Jasinski, Dec 21 2006

nonn

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A006562, A119381, A126239-A126243.

Prime@Select[Range[2, 4000], 2Prime[ # ] == Prime[ # - 1] + Prime[ # + 3] &] (* Ray Chandler, Dec 27 2006 *)
Transpose[Select[Partition[Prime[Range[4000]],5,1],2#[[2]]==#[[5]]+#[[1]]&]][[2]] (* Harvey P. Dale, Jan 23 2013 *)

Edited and extended by Ray Chandler, Dec 27 2006

A196242 Positive integers b for which there is a primitive 10-Pythagorean triple (a,b,c) satisfying a<=b.

Original entry on oeis.org

2, 15, 14, 40, 15, 77, 6, 28, 52, 126, 187, 20, 66, 114, 260, 91, 345, 200, 442, 33, 153, 551, 72, 190, 310, 672, 805, 110, 276, 444, 85, 325, 602, 435, 210, 496, 784, 161, 272, 630, 21, 703, 35, 261, 861, 420, 35, 506, 63, 385, 39, 702, 77, 91, 533, 812

Offset: 1

Clark Kimberling, Sep 29 2011

nonn

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Cf. A195770, A196238, A126239, A196243.

Mathematica
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(See A196238.)
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cp's OEIS Frontend

A126238 Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.

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