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%I #18 Nov 03 2013 12:15:21
%S 19,173,277493
%N Primes of the form ((2^p -1)*(3^p -2))-2, where p is prime.
%C Next two primes have 99 digits and 3,270 digits.
%D Tom M. Apostol, Introduction to Analytic Number Theory, Springer, 2010, pp. 4-12.
%D G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Oxford University Press, Sixth Ed. 2008, p. 19.
%e The primes are generated by p = 2, 3, 7, 127, 4201...
%t f[x_] := ((2^x - 1)*(3^x - 2)) - 2; Select[f[Prime[Range[100]]], PrimeQ]
%Y Cf. A000225, A000043, A000668, A001348.
%K nonn,bref
%O 1,1
%A _Douglas L. Fox_, Mar 19 2013
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