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Search: id:A063825
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| A063825 |
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(n-3, n-5, n-17, n-257, n-65537) are all primes. |
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+0
1
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| 65704, 66364, 72106, 74764, 80686, 80914, 82474, 85456, 85834, 89074, 89674, 92644, 94564, 95806, 97006, 97384, 97864, 98644, 100804, 101284, 102004, 105256, 108964, 113044, 113176, 119704, 121024, 121954, 123736, 125644, 127294, 129226
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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3, 5, 17, 257 and 65537 are the only known Fermat primes. The counting function p(N) seems to follow the law: p(N)~c*N^(4/3*gamma) where c is a positive constant and gamma the Euler constant. If so the sequence is infinite.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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MATHEMATICA
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Select[Range[65538, 130000], PrimeQ[ #-3]&&PrimeQ[ #-5]&&PrimeQ[ #-17]&&PrimeQ[ #-257]&&PrimeQ[ #-65537]&] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 31 2006
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PROGRAM
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(PARI) { n=0; for (m=1, 10^9, if(isprime(m - 3) && isprime(m - 5) && isprime(m - 17) && isprime(m - 257) && isprime(m - 65537), write("b063825.txt", n++, " ", m); if (n==1000, break)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 01 2009]
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CROSSREFS
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A063799, A019434.
Sequence in context: A096555 A168667 A170781 this_sequence A170790 A043678 A032781
Adjacent sequences: A063822 A063823 A063824 this_sequence A063826 A063827 A063828
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Felice Russo (felice.russo(AT)katamail.com), Aug 21 2001
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