S000188


Number of pairs twin primes between f^n and f^(n+1) (where f = e^2 = (2.718281828…)^2).

2, 4, 15, 60, 291, 1454, 7786, 43646, 250392, 1487719

0

S000188

The two pairs of twin primes between 1 and e^2 are (3,5) and {5,7}.

T. D. Noe, Plot of 10 terms

(Mma) f = E^2; Table[s = Select[Range[Ceiling[f^n], Floor[f^(n + 1)]], PrimeQ]; Length[Intersection[s, s + 2]], {n, 0, 9}]

Cf. A061273 (primes between powers of e), S000187.

nonn

T. D. Noe, Aug 11 2014

© Tony D Noe 2014-2015