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Search: id:A125779
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| A125779 |
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Numbers n such that n^4 + 1, n^4 + 3, n^4 + 7 and n^4 + 9 are all prime. |
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+0
4
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| 83270, 519370, 939220, 1844170, 2263910, 2293460, 2429260, 2595980, 3133640, 3216530, 3474200, 3559760, 4787050, 5306720, 5505940, 6238780, 6889430, 6932770, 7320160, 8286340, 8427880, 8744290, 8961590, 9863440, 10871530
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OFFSET
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1,1
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COMMENT
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Schinzel proof in 1958 that set of primes of kind n^(2^k) + 1, n^(2^k) + 3, n^(2^k) + 7 and n^(2^k) + 9 is infinite for each number k > 0
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REFERENCES
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Sierpinski, W. Elementary theory of numbers. Warszawa 1964 Monografie Matematyczne Vol. 42.
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CROSSREFS
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Cf. A057015, A125780.
Sequence in context: A162184 A010093 A046381 this_sequence A032752 A104928 A013885
Adjacent sequences: A125776 A125777 A125778 this_sequence A125780 A125781 A125782
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinki (grafix(AT)csl.pl), Dec 09 2006
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EXTENSIONS
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Corrected and extended by Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 22 2008
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