46 lines
1.1 KiB
Python
46 lines
1.1 KiB
Python
#!/usr/bin/env python3
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# The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28.
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# The first ten terms would be:
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#
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# 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
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#
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# Let us list the factors of the first seven triangle numbers:
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#
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# 1: 1
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# 3: 1,3
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# 6: 1,2,3,6
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# 10: 1,2,5,10
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# 15: 1,3,5,15
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# 21: 1,3,7,21
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# 28: 1,2,4,7,14,28
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#
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# We can see that 28 is the first triangle number to have over five divisors.
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#
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# What is the value of the first triangle number to have over five hundred divisors?
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from projecteuler import count_divisors, timing
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@timing
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def p012() -> None:
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i = 0
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triang = 0
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finished = 0
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# Generate all triangle numbers until the first one with more than 500 divisors is found.
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while not finished:
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i = i + 1
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triang = triang + i
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# Use the function implemented in projecteuler.py to count divisors of a number.
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if count_divisors(triang) > 500:
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finished = 1
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print('Project Euler, Problem 12')
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print(f'Answer: {triang}')
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if __name__ == '__main__':
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p012()
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