31 lines
846 B
Python
31 lines
846 B
Python
''' 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. The first ten terms would be:
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1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
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Let us list the factors of the first seven triangle numbers:
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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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We can see that 28 is the first triangle number to have over five divisors.
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What is the value of the first triangle number to have over five hundred divisors? '''
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def play(stop):
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num = 3
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while 1:
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num += 1
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n = num * (num + 1) / 2
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sqr = int(n ** 0.5)
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count = 0
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if sqr * sqr == n: count = 1
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for tmp in xrange(2, sqr):
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if n % tmp == 0:
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count += 1
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if count >= stop // 2:
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print n
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return 1
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if __name__ == '__main__':
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play(500)
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