George Duke wrote on Mon, Apr 10, 2017 10:12 PM UTC:
The maximum number of pieces into which a pancake can be cut with n slices: 1 slice 2, 2 slices 4, 3 slices 7, 4-11, 5-16, 6-22, 7-29, 8-37....
The Lucky numbers in texts come about by striking out every other number, then from remaining 13579... strike out every third number, because that's the next one left. Then since '5' is stricken and what remains is 1,3,7,9,13,15,19..., now strike out every seventh number starting with 19. '1,3,7,9,13,15,21,25,31,33,37,43,49,51....' never get stricken and are Lucky. It's related to the Sieve of Erastosthenes to generate the prime numbers. A Lucky Chess Piece allowing one-step should be Bishop value on 10x10 and up.
The maximum number of pieces into which a pancake can be cut with n slices: 1 slice 2, 2 slices 4, 3 slices 7, 4-11, 5-16, 6-22, 7-29, 8-37....
The Lucky numbers in texts come about by striking out every other number, then from remaining 13579... strike out every third number, because that's the next one left. Then since '5' is stricken and what remains is 1,3,7,9,13,15,19..., now strike out every seventh number starting with 19. '1,3,7,9,13,15,21,25,31,33,37,43,49,51....' never get stricken and are Lucky. It's related to the Sieve of Erastosthenes to generate the prime numbers. A Lucky Chess Piece allowing one-step should be Bishop value on 10x10 and up.