32 lines
608 B
Python
32 lines
608 B
Python
#!/usr/bin/env python3
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def sols():
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"""yields int solutions of a**2 - 5 b**2 = 1"""
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a, b = 9, 4
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while True:
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yield a, b
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a, b = 9*a + 20*b, 4*a + 9*b
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def cs():
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"""yields int solutions of a in a**2 - 5 b**2 = 44"""
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base_sols = [(7, 1), (8, 2), (13, 5), (17, 7), (32, 14), (43, 19)]
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base_sols.reverse()
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for a, b in sols():
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for a0, b0 in base_sols:
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yield a0 * a - 5 * b0 * b
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N = 30
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gen = cs()
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next(gen)
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nuggs = []
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while len(nuggs) < N:
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c = next(gen)
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if (c - 7) % 5 != 0:
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continue
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nuggs.append((c-7) // 5)
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print(sum(nuggs))
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