Many sites say that the largest known prime is "2^57,885,161 − 1, a number with 17,425,170 digits." Given this and well known research about the density of primes, I think it's at least possible to estimate the number of primes between 1 and 2^57,885,161 − 1. But I don't know how to do this myself. I really want the answer to this one (the order of magnitude at least), but I've got lots of these, and I'd ideally like more cool ones. :) [more inside]
In one of these puzzle games like 2048 or Threes, where you merge tiles to create higher numbers, is there any way to prove what is the highest possible tile number that can be created given the rules and dimensions? [more inside]
I have always been really bad at really simple games, like the ones where there are generally sound mathematical strategies for playing the optimal game. I'd like to compile a little mental rolodex of simple games and their solutions so I can feel smugly superior to any small children who seek to challenge me. [more inside]
Around 1995 I played a game on the Mac in school that was for educational purposes, supposedly for the purposes of drilling math skills, and had Mozart Symphony no. 40 (1st movement and but I think 3rd as well), Bach BWV 999, and possibly some Paganini as well, as background music. Do you know what it was?
What is the modern equivalent of 1995's lovely LOGICAL JOURNEY OF THE ZOOMBINIS computer games? They taught math logic skills rather neatly for children, but I don't have a computer that will run the old games.
I'm looking to learn how to calculate probabilities for a multi-round dice game. I've researched this question some, and it looks like I might need to know how to use the multinomial distribution, but I can't find any good introductions. Please point me to the most layman-accessible educational material on this subject, and help me to help myself. [more inside]
Can anyone help me come up with a pub trivia points system? [more inside]
What math flash card game, which required you to use each of four numbers on a card to get to one fixed answer each time, did I play in grammar school? [more inside]
Counting-Filter: A friend once asked me how many points the entire 52-card deck is worth in the game of Cribbage...not that you could actually be dealt the whole deck, but just a curiosity. [more inside]
Can someone explain to me why there are 169 starting hands in poker? [more inside]
This is regards to the Mob Wars game on Facebook, specifically the 'City' mechanic. It seems to be assumed that there is no benefit in investing in 'land' vs. 'buildings'. I want to know if that is valid. [more inside]
I'm looking for math focused games for a first grader. [more inside]
I need a tool to help me analyze the probability of certain events occurring regarding a pool of X dice for a game I am creating. See my examples below. [more inside]