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A052353 First primes of A031926 (lesser of 8-twins) with increasing distance to the next 8-twin. 0

%I #14 Apr 29 2019 03:18:37

%S 389,683,719,359,1523,2699,401,929,2153,1373,2459,2531,1439,1733,8573,

%T 2741,4943,9059,5051,983,3491,9173,7529,761,1823,1571,3041,5399,1193,

%U 2273,491,8171,23549,5189,5813,53189,3221,4349,32789,49823,18749,19001

%N First primes of A031926 (lesser of 8-twins) with increasing distance to the next 8-twin.

%C The smallest distance [A052380(4)] between 8-twins is 12, while its minimal increment is 6.

%F a(n) = p yields a prime quadruple of [p, p+8, p+6n+6, p+6n+6+8] and difference pattern of [8, 6n-2, 8].

%e a(1)=389 specifies quadruple of [389,397,401,409] with no prime between 397 and 401;

%e a(10)=1373 gives quadruple of [1373,1381,1439,1447] and [8,58,8] difference pattern with 6 primes in the central gap.

%Y Cf. A031926, A053322, A052380, A052381.

%K nonn

%O 1,1

%A _Labos Elemer_, Mar 07 2000

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Last modified July 7 11:11 EDT 2024. Contains 374069 sequences. (Running on oeis4.)