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A217698
Primes of the form ((2^p -1)*(3^p -2))-2, where p is prime.
0
19, 173, 277493
OFFSET
1,1
COMMENTS
Next two primes have 99 digits and 3,270 digits.
REFERENCES
Tom M. Apostol, Introduction to Analytic Number Theory, Springer, 2010, pp. 4-12.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Oxford University Press, Sixth Ed. 2008, p. 19.
EXAMPLE
The primes are generated by p = 2, 3, 7, 127, 4201...
MATHEMATICA
f[x_] := ((2^x - 1)*(3^x - 2)) - 2; Select[f[Prime[Range[100]]], PrimeQ]
CROSSREFS
KEYWORD
nonn,bref
AUTHOR
Douglas L. Fox, Mar 19 2013
STATUS
approved