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%I #8 Jun 11 2023 18:32:01
%S 13,139,6091,19843,51787,55793,113143,179029,205157,302551,346361,
%T 460949,895799,970447,1150651,1180847,1697257,1929553,2334781,2580631,
%U 2797447,3056561,3086009,3416717,3598943,4024667,4026107,4067123,4077583,4389503,4541083,4790503
%N Primes p = p(k) such that p(k) + p(k+9) = p(k+1) + p(k+8) = p(k+2) + p(k+7) = p(k+3) + p(k+6) = p(k+4) + p(k+5).
%F Primes p = prime(k) = A000040(k) such that A359440(k+4) >= 4. - _Peter Munn_, Jan 13 2023
%e 13 + 47 = 17 + 43 = 19 + 41 = 23 + 37 = 29 + 31.
%t a = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; Do[ a = Delete[ a, 1 ]; a = Append[ a, Prime[ n ] ]; If[ a[ [ 1 ] ] + a[ [ 10 ] ] == a[ [ 2 ] ] + a[ [ 9 ] ] == a[ [ 3 ] ] + a[ [ 8 ] ] == a[ [ 4 ] ] + a[ [ 7 ] ] == a[ [ 5 ] ] + a[ [ 6 ] ], Print[ a[ [ 1 ] ] ] ], {n, 1, 3 10^5} ]
%Y Cf. A000040, A022885, A064101, A359440.
%K easy,nonn
%O 1,1
%A _Robert G. Wilson v_, Sep 17 2001
%E More terms from _Sean A. Irvine_, Jun 11 2023
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