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 A217698 Primes of the form ((2^p -1)*(3^p -2))-2, where p is prime. 0
 19, 173, 277493 (list; graph; refs; listen; history; text; internal format)
 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. LINKS 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 Cf. A000225, A000043, A000668, A001348. Sequence in context: A322878 A060222 A041690 * A172642 A133740 A125382 Adjacent sequences: A217695 A217696 A217697 * A217699 A217700 A217701 KEYWORD nonn,bref AUTHOR Douglas L. Fox, Mar 19 2013 STATUS approved

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Last modified December 9 15:43 EST 2022. Contains 358700 sequences. (Running on oeis4.)