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Search: id:A070737
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| A070737 |
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Smallest number x such that the first n cyclotomic polynomials evaluated at x are primes. |
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+0
2
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| 3, 4, 6, 6, 1068630, 6770610, 2981997480, 339126523890, 120351747887280, 13533264289711320
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Let Phi_k be the k-th cyclotomic polynomial. a(n) is the least integer x such that for each k from 1 to n, Phi_k(x) is prime.
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EXAMPLE
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a(6)=x=6770610 because Phi_1(x)=x-1, Phi_2(x)=x+1, Phi_3(x)=x^2+x+1, Phi_4(x)=x^2+1, Phi_5(x)=x^4+x^3+x^2+x+1, and Phi_6(x)=x^2-x+1 are all prime.
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CROSSREFS
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Cf. A014574, A070020, A070025, A070043.
Sequence in context: A135510 A065967 A117986 this_sequence A135599 A129000 A078923
Adjacent sequences: A070734 A070735 A070736 this_sequence A070738 A070739 A070740
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KEYWORD
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nonn
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AUTHOR
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Don Reble (djr(AT)nk.ca), May 15 2002, and Phil Carmody (pc+oeis(AT)asdf.org), Aug 09 2002
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