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A059609
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Numbers k such that 2^k - 7 is prime.
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14
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39, 715, 1983, 2319, 2499, 3775, 12819, 63583, 121555, 121839, 468523
(list;
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listen;
history;
text;
internal format)
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OFFSET
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1,1
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REFERENCES
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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.
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LINKS
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Table of n, a(n) for n=1..11.
Keith Conrad, Square patterns and infinitude of primes, University of Connecticut, 2019.
Henri Lifchitz and Renaud Lifchitz, Search for 2^n-7, PRP Top Records
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MATHEMATICA
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Select[Range[3, 20000], PrimeQ[2^# - 7] &] (* Vladimir Joseph Stephan Orlovsky, Feb 26 2011 *)
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PROG
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(PARI) is(n)=isprime(2^n-7) \\ Charles R Greathouse IV, Feb 17 2017
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CROSSREFS
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Exponents for primes of the form 2^n-d: A000043 (d=1), A050414 (d=3), A059608 (d=5), (this sequence) (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: A200409 A341565 A034187 * A010955 A161652 A162168
Adjacent sequences: A059606 A059607 A059608 * A059610 A059611 A059612
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KEYWORD
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nonn,more
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AUTHOR
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Andrey V. Kulsha, Feb 02 2001
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EXTENSIONS
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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
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STATUS
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approved
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