The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten nat…

简单: e sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten n…

Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025  385 = 2640. Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.…

The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten nat…

In Problem 42 we dealt with triangular problems, in Problem 44 of Project Euler we deal with pentagonal number, I can only wonder if we have to deal with septagonal numbers in Problem 46. Anyway the problem reads Pentagonal numbers are generated by t…

我的做法就是暴力,1+...+n 用前n项和公式就行 1^2+2^2+....+n^2就暴力了 做完后在讨论版发现两个有趣的东西. 一个是 (1+2+3+...+n)^2=(1^3)+(2^3)+(3^3)+...+(n^3) 另一个是 1^2+2^2+....+n^2的公式以及推导. 假设f(n) = an3 + bn2 + cn + d 已知:f(0) = 0; f(1) = 1; f(2) = 5; f(3) = 14 然后带入解方程,得到a,b,c,d,再用归纳法证明其正确性. 证明过程…

题意: 001(Multiples of 3 and 5):对小于1000的被3或5整除的数字求和. 002(Even Fibonacci numbers):斐波那契数列中小于等于4 000 000的偶数求和. 003(Largest prime factor):求600 851 475 143的最大质因数. 004(Largest palindrome product):求由两个三位数相乘得到的最大回文数. 005(Smallest multiple):求能被1~20中所有数整除的最小正整数.…

Sum square difference Problem 6 The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of…

PE 中文翻译 最喜欢做这种很有意思的数学题了虽然数学很垃圾 但是这个网站的提交方式好鬼畜啊qwq 1.Multiples of 3 and 5 直接枚举 2.Even Fibonacci numbers 直接枚举 3.Largest prime factor $\sqrt(n)$枚举 #include<cstdio> #include<vector> #include<set> #include<algorithm> #define sit #define…

本题来自 Project Euler 第6题:https://projecteuler.net/problem=6 # Project Euler: Problem 6: Sum square difference # The sum of the squares of the first ten natural numbers is, # 1**2 + 2**2 + ... + 10**2 = 385 # The square of the sum of the first ten natur…