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)   867-5309   –   Tommy Tutone (2)   634-5789   –   Wilson Pickett (1) Jenny’s phone number (According to the hit song … Continue reading

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111…111 – 22…22

Consider the following: 11   –   2   =   9   =   3^2 1111   –   22   =   1089   =   33^2 111111   –   222   =   110889   = … Continue reading

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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

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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

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A 3-digit num3er divisible by 7

Let   abc   be 3-digit number.   abc   is divisible by 7. Prove that 7 can be cancelled out of the fraction             bc   +   16*a           ——————–           bc   –   61*a   … Continue reading

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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

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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

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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

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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

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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

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