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A059609 Numbers n such that 2^n-7 is prime. 14
39, 715, 1983, 2319, 2499, 3775, 12819, 63583, 121555, 121839, 468523 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 39, p. 15, Ellipses, Paris 2008.

J.-M. De Koninck and A. Mercier, 1001 Problemes en Theorie Classique Des Nombres, Problem 395 pp. 55; 218, Ellipses Paris 2004.

Wacław Sierpiński, Co wiemy, a czego nie wiemy o liczbach pierwszych. Warsaw: PZWS, 1961, pp. 46-47.

Wacław Sierpiński, O stu prostych, ale trudnych zagadnieniach arytmetyki. Warsaw: PZWS, 1959, pp. 31, 75.

LINKS

Table of n, a(n) for n=1..11.

Keith Conrad, Square patterns and infinitude of primes, University of Connecticut, 2019.

Henri Lifchitz & Renaud Lifchitz, Search for 2^n-7, PRP Top Records

MATHEMATICA

Select[Range[3, 20000], PrimeQ[2^# - 7] &] (* Vladimir Joseph Stephan Orlovsky, Feb 26 2011 *)

PROG

(PARI) is(n)=isprime(2^n-7) \\ Charles R Greathouse IV, Feb 17 2017

CROSSREFS

Exponents for primes of 2^n-d form: A000043 (d=1), A050414 (d=3), A059608 (d=5), A059609 (d=7), A059610 (d=9), A096817 (d=11), A096818 (d=13), A059612 (d=15), A059611 (d=17), A096819 (d=19), A096820 (d=21).

Cf. A096502.

Sequence in context: A142976 A200409 A034187 * A010955 A161652 A162168

Adjacent sequences:  A059606 A059607 A059608 * A059610 A059611 A059612

KEYWORD

nonn,more

AUTHOR

Andrey V. Kulsha, Feb 02 2001

EXTENSIONS

a(8) from Henri Lifchitz, a(9)-a(10) from Gary Barnes, added by Max Alekseyev, Feb 09 2012

a(11) from Lelio R Paula, added by Max Alekseyev, Oct 25 2015

STATUS

approved

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Last modified April 20 09:03 EDT 2019. Contains 322307 sequences. (Running on oeis4.)