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Shannon number

"Shannon number" is the number for the upper bound of possible chess games for Random chessThis includes some illegal positions (e.g., pawns on the first rank, both kings in check, both bishops on the same colour ... ).

·         ((8!*8) + (8!*8)) x ((8!*8) +(8!*8)) > 2.137685 x 10^10   ...

·         (( 56 x 6!) + (16)) x ((56 x 6!) + (16)) =< 4.987 x 10^6     ... 

·         (336) x (336) =< 104. x (10 ^6)                                 ... plp - lines closed

·         (( 40.320) x (112.897))/30) + 33 <= 104.9 x (10 ^6)           ... 

·         151733568 + 33 <= 104.9 x (10 ^6)                        ... logical combo's

·         7.811,284 + 100,033 <= 4.9 x (10 ^6)                    ... Log combo's

·         7.911,317  > 4.9 x (10 ^6)                                   ... PCG Shannon/normal

  • 7.911,317 = Shannon number for upper bound for Random Chess

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