cp's OEIS Frontend

A347280 Let P1>3, P2, P3, P4 be 4 consecutive primes with P3-P2 = 2. a(n) = P2 is the earliest occurrence of the 4-tuple with min(P2-P1, P4-P3) = 2*n, or 0 if no such constellation exists.

%I A347280 #9 Sep 05 2021 02:32:48
%S A347280 11,29,0,419,521,0,1931,6449,0,10037,43541,0,10007,28349,0,107507,
%T A347280 280409,0,261167,173429,0,569321,913637,0,1598447,1789091,0,1349531,
%U A347280 5317451,0,17282051,25844561,0,10851161,28582787,0,36126917,14318657,0,60117947,42062717
%N A347280 Let P1>3, P2, P3, P4 be 4 consecutive primes with P3-P2 = 2. a(n) = P2 is the earliest occurrence of the 4-tuple with min(P2-P1, P4-P3) = 2*n, or 0 if no such constellation exists.
%C A347280 The "irregular" constellation 3, 5, 7, 11 is intentionally excluded.
%H A347280 Hugo Pfoertner, <a href="/A347280/b347280.txt">Table of n, a(n) for n = 2..113</a>
%e A347280 a(2) = 11, because min(11-7, 17-13) = 4 is the earliest occurrence of the minimum gap of 2*2 = 4 adjacent to a pair of twin primes.
%e A347280 a(3) = 29: the constellation 23, 29, 31, 37 has min(29-23, 37-31) = 2*3 = 6, whereas the preceding constellations 7, 11, 13, 19, and 13, 17, 19, 23 don't yield a minimum of 6.
%e A347280 a(5) = 419: 409, 419, 421, 431 leads to the earliest occurrence of the minimum adjacent gap of 2*5.
%Y A347280 Subset of A001359.
%Y A347280 Cf. A262935, A262936.
%K A347280 nonn
%O A347280 2,1
%A A347280 _Hugo Pfoertner_, Sep 03 2021