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 A178506 Lesser of a "near cube" twin prime pair (k^3 - 4, k^3 - 2). 2
 3371, 8120597, 69426527, 108531329, 176558477, 1207949621, 2379270371, 3477265871, 3560550179, 4227952109, 8012005997, 12665630687, 13060888871, 15832158827, 15945922409, 18337088849, 20279414579, 22354272509, 30283802609, 60559558979, 70496180087, 98035951127 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE p = 3371 = prime(475) = 15^3 - 4, (p, p+2) is twin prime pair tp(90), 3371 is the first term. MATHEMATICA Select[Range[10^4]^3 - 4, And @@ PrimeQ[# + {0, 2}] &] (* Amiram Eldar, Dec 25 2019 *) CROSSREFS Cf. A178336. Cf. A001359, A053703, A132282, A144953, A173255, A178228, A038600. Sequence in context: A204471 A139778 A346025 * A248443 A254391 A254384 Adjacent sequences: A178503 A178504 A178505 * A178507 A178508 A178509 KEYWORD nonn AUTHOR Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 29 2010 EXTENSIONS a(13) corrected and more terms from Amiram Eldar, Dec 25 2019 STATUS approved

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Last modified December 10 15:18 EST 2023. Contains 367713 sequences. (Running on oeis4.)