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A123096 Prime arithmetic mean of ten consecutive primes. 3

%I #18 Apr 24 2023 12:24:46

%S 727,761,1663,1783,1811,1913,2693,2969,3229,3433,4073,4091,4421,4547,

%T 4673,4903,5099,5801,5927,6359,7537,7727,7927,8093,8111,8293,9041,

%U 9829,11177,11239,11447,12671,14771,14779,14929,15131,16421,16477,16619

%N Prime arithmetic mean of ten consecutive primes.

%C Corresponding indices of first primes are: 125, 130, 257, 272, 275, 288, 387, 423, 452, 477, 557, 559, 597, 612, 627, 651, 677, 757, 774, 824, 951, 976, 997, 1013, 1015, 1036, 1119, 1208, 1349, 1355, 1376, 1509, 1726, 1727, 1744, 1763, 1899, 1905, 1918, 1979

%H Zak Seidov, <a href="/A123096/b123096.txt">Table of n, a(n) for n = 1..1000</a>

%F A000040 INTERSECT A218114. - _R. J. Mathar_, Apr 24 2023

%e (prime(125)+...+prime(134))/10 = 727, where prime(n) is the n-th prime.

%t Select[Mean/@Partition[Prime[Range[2000]],10,1],PrimeQ] (* _Harvey P. Dale_, Jul 19 2011 *)

%Y Cf. A000040, A127337.

%K nonn

%O 1,1

%A _Zak Seidov_, Sep 27 2006

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Last modified August 28 08:41 EDT 2024. Contains 375477 sequences. (Running on oeis4.)