

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
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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 = (k1) * (k^2 + k + 1), only prime for k=2.


LINKS



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



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



