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A292578
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Primes of the form 11*n^2 + 55*n + 43.
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3
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43, 109, 197, 307, 439, 593, 769, 967, 1187, 1429, 1693, 1979, 2287, 2617, 2969, 3343, 3739, 4157, 4597, 5059, 6577, 7127, 7699, 8293, 9547, 10889, 11593, 14629, 15443, 17137, 18919, 19843, 20789, 21757, 24793, 25849, 26927, 28027, 30293, 32647, 33857, 35089
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OFFSET
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1,1
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COMMENTS
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The first 20 terms correspond to n from 0 to 19, which makes 11*n^2 + 55*n + 43 a prime-generating polynomial (see the link).
There are only a few prime-generating quadratic polynomials whose coefficients contain at most two digits that produce 20 or more primes in a row. This is one of them, others include A005846, A007641, A060844, and A007637.
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LINKS
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MAPLE
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select(isprime, [seq(11*n^2+55*n+43, n=0..100)]); # Robert Israel, Oct 01 2017
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MATHEMATICA
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Select[Range[0, 100]//11#^2+55#+43 &, PrimeQ]
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PROG
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(PARI) for(n=0, 100, isprime(p=11*n^2+55*n+43)&& print1(p ", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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