A217698 - OEIS

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A217698

Primes of the form ((2^p -1)*(3^p -2))-2, where p is prime.

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

Table of n, a(n) for n=1..3.

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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