From the 2000 University of Waterloo Cayley Contest:

*The leftmost digit of an integer of length 2000 digits is 3. In this integer, any two consecutive digits must be divisible by 17 or 23.* 197 more words

From the 2000 University of Waterloo Cayley Contest:

*The leftmost digit of an integer of length 2000 digits is 3. In this integer, any two consecutive digits must be divisible by 17 or 23.* 197 more words

An integer is automorphic if its square ends with that integer, like 762 = 57**76**. This notion is clearly base-dependent. Ignoring trivial 0 and 1, in base 10 there are two such numbers for any number of digits; they comprise two infinite sequences that can be thought of informally as “infinite” solutions of x2 = x, and formally as solutions of this equation in the ring of 10-adic numbers. 459 more words

Just when you thought things couldn’t get worse for Donald Trump …they do. Just when you thought he couldn’t drop faster in the polls, he does. 151 more words

It’s been a quiet week. There’s not a lot of comic strips telling mathematically-themed jokes. Those that were didn’t give me a lot to talk about. 462 more words

A PuzzleCritic Original:

*Let x be the answer to this problem, where x is a positive integer, and let y be the sum of its digits.* 137 more words

I’m always trying to explain to people just how clueless I am when it comes to men and flirting and no one ever seems to understand. 401 more words