文件名称:Eular-Engineering
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自然数求和可生成三角数列.第七个三角数是1 + 2 + 3 + 4 + 5 + 6 + 7 = 28.前10个三角数列元素是:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
下面列出前7个三角数及其整除数:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
可以看出,28是第一个有超过5个整除数的三角数.
那么,第一个有超过500个整除数的三角数是多少?-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:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
Let us list the factors of the first seven triangle numbers:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred divisors?
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
下面列出前7个三角数及其整除数:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
可以看出,28是第一个有超过5个整除数的三角数.
那么,第一个有超过500个整除数的三角数是多少?-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:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
Let us list the factors of the first seven triangle numbers:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred divisors?
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Eular Engineering.doc