Computing the Longest Recurring Cycle in its Decimal Fraction Part
A unit fraction contains 1 in the numerator. The decimal representation of the unit fractions with denominators 2 to 10 are given: 1/2 = 0.5 1/3 = 0.(3) 1/4 …
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How Many Squares/Rectangles Does a Rubik Cube Have?
A Rubik cube usually have 6 sides. Take 3×3 rubik cube for example, each side has 9 little squares (1×1), 4 medium squares (2×2) and 1 big square (3×3). …
Find the 10001st Prime Number
By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the 10001st prime number? …
The Difference Between Sum of Squares and Square of the Sum
The sum of the squares of the first ten natural numbers is, 1^2+2^2+3^2+…10^2=385 The square of the sum of the first ten natural numbers is, (1+2+…+10)^2=55^2=3025 Hence the difference …
Find the largest palindrome From the product of two 3-digit numbers
A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 × 99. Find the largest palindrome …