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%I #21 Dec 25 2019 04:50:57
%S 3371,8120597,69426527,108531329,176558477,1207949621,2379270371,
%T 3477265871,3560550179,4227952109,8012005997,12665630687,13060888871,
%U 15832158827,15945922409,18337088849,20279414579,22354272509,30283802609,60559558979,70496180087,98035951127
%N Lesser of a "near cube" twin prime pair (k^3 - 4, k^3 - 2).
%C p + 2 = k^3 - 2 is form of "near(est) cube" prime smaller than cube number k^3, as k^3 - 1 = (k-1) * (k^2 + k + 1), only prime for k=2.
%H Amiram Eldar, <a href="/A178506/b178506.txt">Table of n, a(n) for n = 1..10000</a>
%e p = 3371 = prime(475) = 15^3 - 4, (p, p+2) is twin prime pair tp(90), 3371 is the first term.
%t Select[Range[10^4]^3 - 4, And @@ PrimeQ[# + {0, 2}] &] (* _Amiram Eldar_, Dec 25 2019 *)
%Y Cf. A178336.
%Y Cf. A001359, A053703, A132282, A144953, A173255, A178228, A038600.
%K nonn
%O 1,1
%A Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 29 2010
%E a(13) corrected and more terms from _Amiram Eldar_, Dec 25 2019
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