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A052351 First primes from A023200 where distance to the next 4-twin increases. 0

%I

%S 7,67,19,43,163,127,397,229,769,1489,673,9547,1009,1783,1693,2857,

%T 11677,23869,499,1093,4003,28657,10459,29383,12487,6043,41647,7039,

%U 17029,19207,15073,24247,65839,29629,18583,9883,66697,100699,7243

%N First primes from A023200 where distance to the next 4-twin increases.

%C a(n) is a "lesser of a 4-twin" prime whose distance to the next twin is 6n.

%C Both the smallest distance (A052380) and its increment for 4-twins is 6.

%F The prime a(n)=p is the first which determines a prime quadruple [p, p+4, p+6n, p+6n+4] and difference pattern of [4, 6n-4, 4].

%e a(1)=7 gives [7,11,7+6=13,17] with no primes between 11 and 13.

%e a(5)=163 specifies [163,167,163+30=191,193] with 4 primes between 167 and 193.

%Y Cf. A023200, A053320, A052380, A052381.

%K nonn

%O 1,1

%A _Labos Elemer_, Mar 07 2000

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Last modified April 9 20:55 EDT 2020. Contains 333363 sequences. (Running on oeis4.)