14 lines
714 B
Plaintext
14 lines
714 B
Plaintext
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Euler discovered the remarkable quadratic formula:
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n^2+n+41
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It turns out that the formula will produce 40 primes for the consecutive integer values 0≤n≤39. However, when n=40,40^2+40+41=40(40+1)+41 is divisible by 41, and certainly when n=41,41^2+41+4 is clearly divisible by 41.
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The incredible formula n^2−79n+1601 was discovered, which produces 80 primes for the consecutive values 0≤n≤79. The product of the coefficients, −79 and 1601, is −126479.
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Considering quadratics of the form:
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n^2+an+b, where |a|<1000 and |b|≤1000
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Find the product of the coefficients, a and b, for the quadratic expression that produces the maximum number of primes for consecutive values of n, starting with n=0.
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