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A214732
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a(n) = 25*n^2 + 15*n + 1021.
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3
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1021, 1061, 1151, 1291, 1481, 1721, 2011, 2351, 2741, 3181, 3671, 4211, 4801, 5441, 6131, 6871, 7661, 8501, 9391, 10331, 11321, 12361, 13451, 14591, 15781, 17021, 18311, 19651, 21041, 22481, 23971, 25511, 27101, 28741, 30431, 32171, 33961, 35801, 37691
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OFFSET
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0,1
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COMMENTS
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This is the case m=5 and k=41 of the formula m^2*n^2 + (m^2 - 2*m)*n + (m^2*k) - (m-1). The most famous example is when m=1 and k=41 (Euler's generating polynomial). With k=41 the formula gives consecutive primes for m=10 and n=0..10, m=17 and n=0..10, m=86 and n=0..8. It is interesting to note that the sequences produced are all factors of the semiprimes produced by m=1, k=41. The other famous values to try for k are 5, 11 and 17 as these all produce primes up to k^2.
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LINKS
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FORMULA
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E.g.f.: (1021 + 40*x + 25*x^2)*exp(x). - G. C. Greubel, Apr 26 2021
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MAPLE
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MATHEMATICA
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PROG
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(Sage) [25*n^2 +15*n +1021 for n in (0..40)] # G. C. Greubel, Apr 26 2021
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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