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HyHiP August 2015

Collatz 猜想也叫做 3 · n + 1 问题。这可能是数学中最为世人所知的未解之谜。它是如此初等，连小学生都能听懂它的内容；但解决它却如此之难，以至于 Paul Erdős 曾说：“或许现在的

HyHiP October 2008

谜题围绕某个数字$(\sqrt{2}+\sqrt{3})^{1948}$展开，问题是：这个数字小数点后的第 48 位是什么？当然，用精度足够的计算器就能解开，但关键是要靠脑子算。只有给出推导过程、能

Project Euler 5–Smallest multiple

2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any rema

Project Euler 4–Maximum path sum I

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2

Project Euler 3–Largest prime factor

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 60085

Project Euler 2–Even Fibonacci numbers

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting w

Project Euler 1–Multiples of 3 and 5

If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The