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| Quadratic Primes (Posted on 2024-02-07) |
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Consider the quadratic:
n^2 + an + b.
Consider integer coefficients a and b in the range:
|a|< 1000, |b| ≤ 1000.
For what values of a and b will the expression produce the maximum number of primes for consecutive values of n, starting with n=0? (Project Euler problem 27)
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Submitted by Steven Lord
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Solution:
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a = -61, b = 971, will generate 70 primes for consecutive n's starting at n=0.
Footnote: Euler himself discovered a simpler quadratic, one which gives 40 primes: n^2 + n + 41 |
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