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A034922
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Numbers k such that 17^k - 16 is prime.
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1
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OFFSET
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1,1
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COMMENTS
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Related to hyperperfect numbers of a certain form.
From Daniel Minoli (daniel.minoli(AT)ses.com), Aug 27 2009: (Start)
Minoli defined the sequences and concepts that follow in the 1980 IEEE paper below:
- For t=2 to infinity, the sequence m(n,t) = n exp(t) - (n-1) is called a Mersenne Sequence Rooted on n
- If n is prime, this sequence is called a Legitimate Mersenne Sequence
- Any j belonging to the sequence m(n,t) is called a Generalized Mersenne Number (n-GMN)
- If j belonging to the sequence m(n,t) is prime, it is then called a n-Generalized Mersenne Prime (n-GMP).
Note: m(n,t) = n*m(n,t-1) + n exp(2) - 2*n+1.
These numbers play a role in the context of hyperperfect numbers.
(End)
a(8)=21689 and a(9)=25679 correspond to probable primes, found with Dario Alpern's factorization tool using the elliptic curve method; no more terms < 35000. - Andrej Jakobcic, Feb 17 2019
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REFERENCES
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Daniel Minoli, Voice over MPLS, McGraw-Hill, New York, NY, 2002, ISBN 0-07-140615-8 (pp. 114-134).
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LINKS
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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