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 A^2 = B^3 + C^3
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 smallest integer whose first n multiples all contain a 3
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 Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square
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Monthly Archives: September 2012
Songs with (phone) numbers in their titles
It seems that there are two phone numbers in the title of these two songs: (1) 8675309 – Tommy Tutone (2) 6345789 – Wilson Pickett (1) Jenny’s phone number (According to the hit song … Continue reading
111…111 – 22…22
Consider the following: 11 – 2 = 9 = 3^2 1111 – 22 = 1089 = 33^2 111111 – 222 = 110889 = … Continue reading
Palindromes with exactly 4 distinct prime factors
Definitions: The prime factors of a positive integer are the prime numbers that divide that integer exactly, without leaving a remainder. http://mathworld.wolfram.com/PrimeFactor.html Prime Factorization http://mathworld.wolfram.com/PrimeFactorization.html Palindromic Number http://mathworld.wolfram.com/PalindromicNumber.html 858 is the smallest palindromic number with exactly … Continue reading
Posted in Math Beauty, Number Puzzles
Tagged Palindromes, Palindromic numbers, Prime Factors
1 Comment
Num3er 1707
“Read Euler, read Euler, he is the master of us all.” Leonhard Euler was born 15 April 1707 The factors of 1707 are: 1 3 569 1707 The prime factors … Continue reading
A 3digit num3er divisible by 7
Let abc be 3digit number. abc is divisible by 7. Prove that 7 can be cancelled out of the fraction bc + 16*a ——————– bc – 61*a … Continue reading
Everything Is Mathematical Challenge
Challenge 3: Polytunnels You may post your solution at Everything Is Mathematical Challenge Challenge 2: Moving Home Solution 2: Moving Home Challenge 1: Numerical Palindromes Solution 1: Numerical Palindromes … Continue reading
2013 Patterns
Goal : To find interesting patterns in the calendar date 2013 = 3 * 11 * 61 (1) Sum of consecutive numbers: 670 + 671 + 672 = 2013 178 + 179 + 180 … Continue reading
Fun with words (Part 2)
Substitute a digit for each letter so that these sums work D O + Y O U + F E E L ————————————— L U C … Continue reading
Fun with words (Part 1)
> If A is first, B is second, C is third etc., which is the only letter whose numerical order value begins with the same letter it refers to? > What is the SMALLEST number which, when written, … Continue reading
A^2 + B^2 + C^2 = D^3
A^2 + B^2 + C^2 = D^3 A ≤ B ≤ C, and A, B, C, D are prime numbers 3^2 + 3^2 … Continue reading
Posted in Math Beauty, Number Puzzles
Tagged Cubes, Cubic Numbers, Prime Numbers, Square Numbers
1 Comment