8 May
2012
8 May
'12
9:35 a.m.
Puzzle: How much can you learn about hyperfactorials modulo a prime P? What is 1! 2! ... (P-1)! mod P? mod P^2? What about 1^1 * 2^2 * 3^3 * ... * (P-1)^(P-1)? What looks true, and what can you prove? To give everyone a chance to play, lets hold off reporting until noon tomorrow. That's Wednesday, May 9, noon Mountain Daylight Time. (God's own time zone :-).) Rich