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Search: id:A076357
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| A076357 |
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a(n) = Floor[t^n] where n=39661481813^(1/10) (approximately 11.4772). a[n] is prime for n<=10. |
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+0
3
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| 11, 131, 1511, 17351, 199151, 2285711, 26233621, 301089179, 3455668247, 39661481813, 455203748458, 5224475817304, 59962484179977, 688202919252740, 7898659712736578, 90654694294744401, 1040464318828877723
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OFFSET
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1,1
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COMMENT
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FEPS(10, 1) (the first floor exponential prime sequence of length 10).
See A076255 for more explanation of floor exponential prime sequences.
I found that past the first ten members, there were no powers of t which produce a prime <= 2000. - Robert G. Wilson v
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REFERENCES
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Richard Crandall and Carl Pomerance, Prime Numbers - a Computational Perspective, Springer, 2001, page 69, exercise 1.75.
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EXAMPLE
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a(5) = Floor[t^5] = Floor[39661481813^(1/2)] = 199151
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MATHEMATICA
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Table[ Floor[39661481813^(n/10)], {n, 1, 17}]
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CROSSREFS
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Cf. A063636, A076255.
Sequence in context: A100758 A083763 A076255 this_sequence A015606 A077417 A082148
Adjacent sequences: A076354 A076355 A076356 this_sequence A076358 A076359 A076360
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KEYWORD
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nonn
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AUTHOR
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David Terr (dterr(AT)wolfram.com), Nov 06 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 08 2002
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