Hello, We all know that Pi and exp(Pi) have some particularities like exp(Pi)-Pi = 19.9990999... apparently found somewhere in 1988 by 3 different people... but that's not the only one, I have found this amusing continued fraction for Pi and exp(Pi), Pi - 3 = [ 1/11,-11/3, -2/12, -11/6, -5/6, -5/3, -2/6, ... ....] in continued fraction expansion. exp(Pi)-23 = [1/11, -11/3, -2/12, -11/24, -23/12, -11/24, -23/14, -13/12, -11/42,...]. There is a striking resemblance, between the two. Another one is Pi-3 = [1/11,-11^2/34, -23^2/172, -149^2/2176, ...] exp(Pi)-23= [1/11,-11^2/34, -23^2/186, -163^2/16042,...] This output comes from an algorithm I developed to <force> prime numbers in the numerator of the gen. continued fraction of some numbers. I computed the expansion of many numbers and these 4 examples have a kind of interesting pattern. Simon Plouffe