This is a real story. A long long time ago, based on the "Four fours" problem, I wondered if I could do the same using exactly five 3īs, the restrictions a bit tighter: I could use only the 4 basic math operations, exponentiation, factorial, and all parentheses I may need. Besides, I didnīt disallow me to join two "3īs" to make "33".
Using this, and only this, I succeeded in writing expressions for all integers from 0 to 100.
To narrow your work, since a great number of integers can be easily obtained, can you find expressions for 47, 50, 56, 58, 64, 70, 71, 73, 74, 76, 77, 85, 88, 94, and 95?
(In reply to
all the asked-for numbers (spoilers) by Charlie)
3!!,3!!/,3,3-!+,3!^ (3!!/3!!+(3-3)!)^3! 64
3!!,3!!/,3,3/+,3!^ (3!!/3!!+3/3)^3! 64
3!!,3!!/,3-,3!+,3^ (3!!/3!!-3+3!)^3 64
3!!,3!!/,3/,3!*,3!^ (((3!!/3!!)/3)*3!)^3! 64
3!!,3!!/,3^,3+,3^ ((3!!/3!!)^3+3)^3 64
3!!,3!*,3!!,3*/,3!^ (3!!*3!/(3!!*3))^3! 64
3!!,3!*,3!!/,3/,3!^ ((3!!*3!/3!!)/3)^3! 64
3!!,3!*,3,3!!*/,3!^ (3!!*3!/(3*3!!))^3! 64
3!!,3!*,3/,3!!/,3!^ ((3!!*3!/3)/3!!)^3! 64
3!!,3!+,3!!-,3/,3!^ ((3!!+3!-3!!)/3)^3! 64
3!!,3!,3!!,3*/*!,3!^ (3!!*3!/(3!!*3))!^3! 64
3!!,3!,3!!-+,3/,3!^ ((3!!+3!-3!!)/3)^3! 64
3!!,3!,3!!-^!,3+,3^ (3!!^(3!-3!!)!+3)^3 64
3!!,3!,3!!/,3/*!,3!^ (3!!*(3!/3!!)/3)!^3! 64
3!!,3!,3!-*!,3+,3^ ((3!!*(3!-3!))!+3)^3 64
3!!,3!,3!-^,3+,3^ (3!!^(3!-3!)+3)^3 64
3!!,3!,3,3!!*/*!,3!^ (3!!*3!/(3*3!!))!^3! 64
3!!,3!,3-!!+,3!!/,3!^ ((3!!+(3!-3)!!)/3!!)^3! 64
3!!,3!,3-!!-!,3+,3^ ((3!!-(3!-3)!!)!+3)^3 64
3!!,3!,3-!!/,3+,3^ (3!!/(3!-3)!!+3)^3 64
3!!,3!,3/*,3!!/,3!^ ((3!!*3!/3)/3!!)^3! 64
3!!,3!,3/+,3!!-,3!^ (3!!+3!/3-3!!)^3! 64
3!!,3!,3/,3!!-+,3!^ (3!!+3!/3-3!!)^3! 64
3!!,3!,3/,3!!/*!,3!^ (3!!*(3!/3)/3!!)!^3! 64
3!!,3!,3/,3!^*,3!!/ 3!!*(3!/3)^3!/3!! 64
3!!,3!,3/,3!^+,3!!- 3!!+(3!/3)^3!-3!! 64
3!!,3!,3/,3!^,3!!-+ 3!!+(3!/3)^3!-3!! 64
3!!,3!,3/,3!^,3!!/* 3!!*(3!/3)^3!/3!! 64
3!!,3*,3!!+,3!!/,3^ ((3!!*3+3!!)/3!!)^3 64
3!!,3*,3!!-,3!!/,3!^ ((3!!*3-3!!)/3!!)^3! 64
3!!,3*,3!!/!,3/,3!^ ((3!!*3/3!!)!/3)^3! 64
3!!,3+,3!!-!,3/,3!^ ((3!!+3-3!!)!/3)^3! 64
3!!,3,3!!*+,3!!/,3^ ((3!!+3*3!!)/3!!)^3 64
3!!,3,3!!*,3!//,3!^ (3!!/(3*3!!/3!))^3! 64
3!!,3,3!!*/,3!*,3!^ ((3!!/(3*3!!))*3!)^3! 64
3!!,3,3!!,3!/*/,3!^ (3!!/(3*3!!/3!))^3! 64
3!!,3,3!!-+!,3/,3!^ ((3!!+3-3!!)!/3)^3! 64
3!!,3,3!!-^!,3+,3^ (3!!^(3-3!!)!+3)^3 64
3!!,3,3!/,3!!*/,3!^ (3!!/((3/3!)*3!!))^3! 64
3!!,3,3!/,3!^,3!!*/ 3!!/((3/3!)^3!*3!!) 64
3!!,3,3!/,3!^/,3!!/ (3!!/(3/3!)^3!)/3!! 64
3!!,3,3!//,3!!/,3!^ ((3!!/(3/3!))/3!!)^3! 64
3!!,3,3+!+,3!!/,3!^ ((3!!+(3+3)!)/3!!)^3! 64
3!!,3,3+!-!,3+,3^ ((3!!-(3+3)!)!+3)^3 64
3!!,3,3+!/,3+,3^ (3!!/(3+3)!+3)^3 64
3!!,3,3-*!,3+,3^ ((3!!*(3-3))!+3)^3 64
3!!,3,3-^,3+,3^ (3!!^(3-3)+3)^3 64
3!!,3/,3!!,3!//,3!^ ((3!!/3)/(3!!/3!))^3! 64
3!!,3/,3!!/,3!*,3!^ (((3!!/3)/3!!)*3!)^3! 64
3!!,3/,3!*,3!!/,3!^ ((3!!/3)*3!/3!!)^3! 64
3!,3!!*,3!!,3*/,3!^ (3!*3!!/(3!!*3))^3! 64
3!,3!!*,3!!/,3/,3!^ ((3!*3!!/3!!)/3)^3! 64
3!,3!!*,3,3!!*/,3!^ (3!*3!!/(3*3!!))^3! 64
3!,3!!*,3/,3!!/,3!^ ((3!*3!!/3)/3!!)^3! 64
3!,3!!+,3!!-,3/,3!^ ((3!+3!!-3!!)/3)^3! 64
3!,3!!,3!!+,3!!/-,3^ (3!-(3!!+3!!)/3!!)^3 64
3!,3!!,3!!,3*/*!,3!^ (3!*3!!/(3!!*3))!^3! 64
3!,3!!,3!!,3--/,3!^ (3!/(3!!-(3!!-3)))^3! 64
3!,3!!,3!!,3///,3!^ (3!/(3!!/(3!!/3)))^3! 64
3!,3!!,3!!-!*,3/,3!^ (3!*(3!!-3!!)!/3)^3! 64
3!,3!!,3!!-!+,3-,3^ (3!+(3!!-3!!)!-3)^3 64
3!,3!!,3!!-!,3*/,3!^ (3!/((3!!-3!!)!*3))^3! 64
3!,3!!,3!!-!,3+-,3!^ (3!-((3!!-3!!)!+3))^3! 64
3!,3!!,3!!-!,3-+,3^ (3!+(3!!-3!!)!-3)^3 64
3!,3!!,3!!-!,3/*!,3!^ (3!*(3!!-3!!)!/3)!^3! 64
3!,3!!,3!!-!-,3-,3!^ (3!-(3!!-3!!)!-3)^3! 64
3!,3!!,3!!-!/,3/,3!^ ((3!/(3!!-3!!)!)/3)^3! 64
3!,3!!,3!!-!^,3/,3!^ (3!^(3!!-3!!)!/3)^3! 64
3!,3!!,3!!-*!,3+,3^ ((3!*(3!!-3!!))!+3)^3 64
3!,3!!,3!!-+,3/,3!^ ((3!+3!!-3!!)/3)^3! 64
3!,3!!,3!!-,3+/,3!^ (3!/(3!!-3!!+3))^3! 64
3!,3!!,3!!--,3/,3!^ ((3!-(3!!-3!!))/3)^3! 64
3!,3!!,3!!-^,3+,3^ (3!^(3!!-3!!)+3)^3 64
3!,3!!,3!!/*,3/,3!^ ((3!*3!!/3!!)/3)^3! 64
3!,3!!,3!!/+,3-,3^ (3!+3!!/3!!-3)^3 64
3!,3!!,3!!/,3*/,3!^ (3!/((3!!/3!!)*3))^3! 64
3!,3!!,3!!/,3+-,3!^ (3!-(3!!/3!!+3))^3! 64
3!,3!!,3!!/,3-+,3^ (3!+3!!/3!!-3)^3 64
3!,3!!,3!!/,3/*!,3!^ (3!*(3!!/3!!)/3)!^3! 64
3!,3!!,3!!/-,3-,3!^ (3!-3!!/3!!-3)^3! 64
3!,3!!,3!!//,3/,3!^ ((3!/(3!!/3!!))/3)^3! 64
3!,3!!,3!!/^,3/,3!^ (3!^(3!!/3!!)/3)^3! 64
3!,3!!,3*,3!!//,3!^ (3!/(3!!*3/3!!))^3! 64
3!,3!!,3*/,3!!*,3!^ ((3!/(3!!*3))*3!!)^3! 64
3!,3!!,3+,3!!-/,3!^ (3!/(3!!+3-3!!))^3! 64
3!,3!!,3,3!!*/*!,3!^ (3!*3!!/(3*3!!))!^3! 64
3!,3!!,3,3!!-+/,3!^ (3!/(3!!+3-3!!))^3! 64
3!,3!!,3/*,3!!/,3!^ ((3!*3!!/3)/3!!)^3! 64
3!,3!!,3/,3!!/*!,3!^ (3!*(3!!/3)/3!!)!^3! 64
3!,3!!-,3!!+,3/,3!^ ((3!-3!!+3!!)/3)^3! 64
3!,3!!/,3!!*,3/,3!^ ((3!/3!!)*3!!/3)^3! 64
3!,3!!/,3!!,3/*,3!^ ((3!/3!!)*3!!/3)^3! 64
3!,3!!/,3!!^!,3+,3^ ((3!/3!!)^3!!!+3)^3 64
3!,3!!/,3/,3!!*,3!^ (((3!/3!!)/3)*3!!)^3! 64
3!,3!*,3!,3*/,3!^ (3!*3!/(3!*3))^3! 64
3!,3!*,3!,3+/,3^ (3!*3!/(3!+3))^3 64
3!,3!*,3!/,3/,3!^ ((3!*3!/3!)/3)^3! 64
3!,3!*,3,3!*/,3!^ (3!*3!/(3*3!))^3! 64
3!,3!*,3,3!+/,3^ (3!*3!/(3+3!))^3 64
3!,3!*,3,3*/,3^ (3!*3!/(3*3))^3 64
3!,3!*,3/,3!/,3!^ ((3!*3!/3)/3!)^3! 64
3!,3!*,3/,3/,3^ ((3!*3!/3)/3)^3 64
3!,3!*,3^,3,3!^/ (3!*3!)^3/3^3! 64
3!,3!+,3!,3-!/,3!^ ((3!+3!)/(3!-3)!)^3! 64
3!,3!+,3!,3-/,3^ ((3!+3!)/(3!-3))^3 64
3!,3!+,3!-,3/,3!^ ((3!+3!-3!)/3)^3! 64
3!,3!+,3!/,3!,3-!^ ((3!+3!)/3!)^(3!-3)! 64
3!,3!+,3!/,3,3+^ ((3!+3!)/3!)^(3+3) 64
3!,3!+,3!^,3!,3!^/ (3!+3!)^3!/3!^3! 64
3!,3!+,3,3+/,3!^ ((3!+3!)/(3+3))^3! 64
3!,3!+,3/!,3!/,3^ (((3!+3!)/3)!/3!)^3 64
3!,3!+,3/,3!,3-^ ((3!+3!)/3)^(3!-3) 64
3!,3!+,3^,3,3^/ (3!+3!)^3/3^3 64
3!,3!,3!!-^!,3+,3^ (3!^(3!-3!!)!+3)^3 64
3!,3!,3!+,3!/-,3^ (3!-(3!+3!)/3!)^3 64
3!,3!,3!+,3/-,3!^ (3!-(3!+3!)/3)^3! 64
3!,3!,3!,3*/*!,3!^ (3!*3!/(3!*3))!^3! 64
3!,3!,3!,3--/,3!^ (3!/(3!-(3!-3)))^3! 64
3!,3!,3!,3-/-,3^ (3!-3!/(3!-3))^3 64
3!,3!,3!,3/,3!^-- 3!-(3!-(3!/3)^3!) 64
3!,3!,3!,3/,3!^// 3!/(3!/(3!/3)^3!) 64
3!,3!,3!,3/--,3!^ (3!-(3!-3!/3))^3! 64
3!,3!,3!,3///,3!^ (3!/(3!/(3!/3)))^3! 64
3!,3!,3!-!*,3/,3!^ (3!*(3!-3!)!/3)^3! 64
3!,3!,3!-!+,3-,3^ (3!+(3!-3!)!-3)^3 64
3!,3!,3!-!,3*/,3!^ (3!/((3!-3!)!*3))^3! 64
3!,3!,3!-!,3+-,3!^ (3!-((3!-3!)!+3))^3! 64
3!,3!,3!-!,3-+,3^ (3!+(3!-3!)!-3)^3 64
3!,3!,3!-!,3/*!,3!^ (3!*(3!-3!)!/3)!^3! 64
3!,3!,3!-!-,3-,3!^ (3!-(3!-3!)!-3)^3! 64
3!,3!,3!-!/,3/,3!^ ((3!/(3!-3!)!)/3)^3! 64
3!,3!,3!-!^,3/,3!^ (3!^(3!-3!)!/3)^3! 64
3!,3!,3!-*!,3+,3^ ((3!*(3!-3!))!+3)^3 64
3!,3!,3!-+,3/,3!^ ((3!+3!-3!)/3)^3! 64
3!,3!,3!-,3+/,3!^ (3!/(3!-3!+3))^3! 64
3!,3!,3!--,3/,3!^ ((3!-(3!-3!))/3)^3! 64
3!,3!,3!-^,3+,3^ (3!^(3!-3!)+3)^3 64
3!,3!,3!/*,3/,3!^ ((3!*3!/3!)/3)^3! 64
3!,3!,3!/+,3-,3^ (3!+3!/3!-3)^3 64
3!,3!,3!/,3*/,3!^ (3!/((3!/3!)*3))^3! 64
3!,3!,3!/,3+-,3!^ (3!-(3!/3!+3))^3! 64
3!,3!,3!/,3-+,3^ (3!+3!/3!-3)^3 64
3!,3!,3!/,3/*!,3!^ (3!*(3!/3!)/3)!^3! 64
3!,3!,3!/-,3-,3!^ (3!-3!/3!-3)^3! 64
3!,3!,3!//,3/,3!^ ((3!/(3!/3!))/3)^3! 64
3!,3!,3!/^,3/,3!^ (3!^(3!/3!)/3)^3! 64
3!,3!,3*+,3!/,3^ ((3!+3!*3)/3!)^3 64
3!,3!,3*,3!//,3!^ (3!/(3!*3/3!))^3! 64
3!,3!,3*/,3!*,3!^ ((3!/(3!*3))*3!)^3! 64
3!,3!,3+,3!-/,3!^ (3!/(3!+3-3!))^3! 64
3!,3!,3+,3!//,3^ (3!/((3!+3)/3!))^3 64
3!,3!,3+,3//,3!^ (3!/((3!+3)/3))^3! 64
3!,3!,3+/,3!*,3^ ((3!/(3!+3))*3!)^3 64
3!,3!,3+/,3*,3!^ ((3!/(3!+3))*3)^3! 64
3!,3!,3,3!*/*!,3!^ (3!*3!/(3*3!))!^3! 64
3!,3!,3,3!-+/,3!^ (3!/(3!+3-3!))^3! 64
3!,3!,3,3!-/+,3^ (3!+3!/(3-3!))^3 64
3!,3!,3,3!/*/,3!^ (3!/(3!*3/3!))^3! 64
3!,3!,3,3!/,3!^*/ 3!/(3!*(3/3!)^3!) 64
3!,3!,3-!+,3!/,3!^ ((3!+(3!-3)!)/3!)^3! 64
3!,3!,3-!+,3/,3^ ((3!+(3!-3)!)/3)^3 64
3!,3!,3-!,3-/,3!^ (3!/((3!-3)!-3))^3! 64
3!,3!,3-!,3/-,3^ (3!-(3!-3)!/3)^3 64
3!,3!,3-!-!,3+,3^ ((3!-(3!-3)!)!+3)^3 64
3!,3!,3-!/,3+,3^ (3!/(3!-3)!+3)^3 64
3!,3!,3-!^,3,3!^/ 3!^(3!-3)!/3^3! 64
3!,3!,3--!,3/,3!^ ((3!-(3!-3))!/3)^3! 64
3!,3!,3-/,3!,3-!^ (3!/(3!-3))^(3!-3)! 64
3!,3!,3-/,3,3+^ (3!/(3!-3))^(3+3) 64
3!,3!,3/*,3!/,3!^ ((3!*3!/3)/3!)^3! 64
3!,3!,3/*,3/,3^ ((3!*3!/3)/3)^3 64
3!,3!,3/+,3!,3/^ (3!+3!/3)^(3!/3) 64
3!,3!,3/+,3!-,3!^ (3!+3!/3-3!)^3! 64
3!,3!,3/,3!-+,3!^ (3!+3!/3-3!)^3! 64
3!,3!,3/,3!/*!,3!^ (3!*(3!/3)/3!)!^3! 64
3!,3!,3/,3!^*,3!/ 3!*(3!/3)^3!/3! 64
3!,3!,3/,3!^+,3!- 3!+(3!/3)^3!-3! 64
3!,3!,3/,3!^,3!-+ 3!+(3!/3)^3!-3! 64
3!,3!,3/,3!^,3!/* 3!*(3!/3)^3!/3! 64
3!,3!,3/-!,3!/,3^ ((3!-3!/3)!/3!)^3 64
3!,3!,3/-,3!,3-^ (3!-3!/3)^(3!-3) 64
3!,3!,3//!,3/,3!^ ((3!/(3!/3))!/3)^3! 64
3!,3!-!,3!!,3!!-!+,3!^ ((3!-3!)!+(3!!-3!!)!)^3! 64
3!,3!-!,3!!,3!!/+,3!^ ((3!-3!)!+3!!/3!!)^3! 64
3!,3!-!,3!!^,3+,3^ ((3!-3!)!^3!!+3)^3 64
3!,3!-!,3!*,3/,3!^ ((3!-3!)!*3!/3)^3! 64
3!,3!-!,3!+,3-,3^ ((3!-3!)!+3!-3)^3 64
3!,3!-!,3!,3!-!+,3!^ ((3!-3!)!+(3!-3!)!)^3! 64
3!,3!-!,3!,3!/+,3!^ ((3!-3!)!+3!/3!)^3! 64
3!,3!-!,3!,3-+,3^ ((3!-3!)!+3!-3)^3 64
3!,3!-!,3!,3/*,3!^ ((3!-3!)!*3!/3)^3! 64
3!,3!-!,3!,3/,3!^* (3!-3!)!*(3!/3)^3! 64
3!,3!-!,3!^,3+,3^ ((3!-3!)!^3!+3)^3 64
3!,3!-!,3*!,3/,3!^ (((3!-3!)!*3)!/3)^3! 64
3!,3!-!,3+!,3!/,3^ (((3!-3!)!+3)!/3!)^3 64
3!,3!-!,3+,3!,3-^ ((3!-3!)!+3)^(3!-3) 64
3!,3!-!,3,3!--,3^ ((3!-3!)!-(3-3!))^3 64
3!,3!-!,3,3!/,3!^/ (3!-3!)!/(3/3!)^3! 64
3!,3!-!,3,3!//,3!^ ((3!-3!)!/(3/3!))^3! 64
3!,3!-!,3,3-!+,3!^ ((3!-3!)!+(3-3)!)^3! 64
3!,3!-!,3,3/+,3!^ ((3!-3!)!+3/3)^3! 64
3!,3!-!,3-,3!+,3^ ((3!-3!)!-3+3!)^3 64
3!,3!-!,3/,3!*,3!^ (((3!-3!)!/3)*3!)^3! 64
3!,3!-!,3^,3+,3^ ((3!-3!)!^3+3)^3 64
3!,3!-,3!!*!,3+,3^ (((3!-3!)*3!!)!+3)^3 64
3!,3!-,3!!/!,3+,3^ (((3!-3!)/3!!)!+3)^3 64
3!,3!-,3!*!,3+,3^ (((3!-3!)*3!)!+3)^3 64
3!,3!-,3!+,3/,3!^ ((3!-3!+3!)/3)^3! 64
3!,3!-,3!,3/+,3!^ (3!-3!+3!/3)^3! 64
3!,3!-,3!,3/,3!^+ 3!-3!+(3!/3)^3! 64
3!,3!-,3!/!,3+,3^ (((3!-3!)/3!)!+3)^3 64
3!,3!-,3*!,3+,3^ (((3!-3!)*3)!+3)^3 64
3!,3!-,3+!,3/,3!^ ((3!-3!+3)!/3)^3! 64
3!,3!-,3/!,3+,3^ (((3!-3!)/3)!+3)^3 64
3!,3!/,3!!,3!!-!+,3!^ (3!/3!+(3!!-3!!)!)^3! 64
3!,3!/,3!!,3!!/+,3!^ (3!/3!+3!!/3!!)^3! 64
3!,3!/,3!!^,3+,3^ ((3!/3!)^3!!+3)^3 64
3!,3!/,3!*,3/,3!^ ((3!/3!)*3!/3)^3! 64
3!,3!/,3!+,3-,3^ (3!/3!+3!-3)^3 64
3!,3!/,3!,3!-!+,3!^ (3!/3!+(3!-3!)!)^3! 64
3!,3!/,3!,3!/+,3!^ (3!/3!+3!/3!)^3! 64
3!,3!/,3!,3-+,3^ (3!/3!+3!-3)^3 64
3!,3!/,3!,3/*,3!^ ((3!/3!)*3!/3)^3! 64
3!,3!/,3!,3/,3!^* (3!/3!)*(3!/3)^3! 64
3!,3!/,3!^,3+,3^ ((3!/3!)^3!+3)^3 64
3!,3!/,3*!,3/,3!^ (((3!/3!)*3)!/3)^3! 64
3!,3!/,3+!,3!/,3^ ((3!/3!+3)!/3!)^3 64
3!,3!/,3+,3!,3-^ (3!/3!+3)^(3!-3) 64
3!,3!/,3,3!--,3^ (3!/3!-(3-3!))^3 64
3!,3!/,3,3!/,3!^/ (3!/3!)/(3/3!)^3! 64
3!,3!/,3,3!//,3!^ ((3!/3!)/(3/3!))^3! 64
3!,3!/,3,3-!+,3!^ (3!/3!+(3-3)!)^3! 64
3!,3!/,3,3/+,3!^ (3!/3!+3/3)^3! 64
3!,3!/,3-,3!+,3^ (3!/3!-3+3!)^3 64
3!,3!/,3/,3!*,3!^ (((3!/3!)/3)*3!)^3! 64
3!,3!/,3^,3+,3^ ((3!/3!)^3+3)^3 64
3!,3!^,3!!,3!+,3+/ 3!^3!/(3!!+3!+3) 64
3!,3!^,3!!,3!,3++/ 3!^3!/(3!!+3!+3) 64
3!,3!^,3!!,3+,3!+/ 3!^3!/(3!!+3+3!) 64
3!,3!^,3!!,3,3!++/ 3!^3!/(3!!+3+3!) 64
3!,3!^,3!!,3,3*+/ 3!^3!/(3!!+3*3) 64
3!,3!^,3!,3!!+,3+/ 3!^3!/(3!+3!!+3) 64
3!,3!^,3!,3!!,3++/ 3!^3!/(3!+3!!+3) 64
3!,3!^,3!,3+,3!!+/ 3!^3!/(3!+3+3!!) 64
3!,3!^,3!,3+,3^/ 3!^3!/(3!+3)^3 64
3!,3!^,3!,3,3!!++/ 3!^3!/(3!+3+3!!) 64
3!,3!^,3!,3-,3!^/ 3!^3!/(3!-3)^3! 64
3!,3!^,3,3!!+,3!+/ 3!^3!/(3+3!!+3!) 64
3!,3!^,3,3!!,3!++/ 3!^3!/(3+3!!+3!) 64
3!,3!^,3,3!+,3!!+/ 3!^3!/(3+3!+3!!) 64
3!,3!^,3,3!+,3^/ 3!^3!/(3+3!)^3 64
3!,3!^,3,3!,3!!++/ 3!^3!/(3+3!+3!!) 64
3!,3!^,3,3!,3-!^/ 3!^3!/3^(3!-3)! 64
3!,3!^,3,3*,3!!+/ 3!^3!/(3*3+3!!) 64
3!,3!^,3,3*,3^/ 3!^3!/(3*3)^3 64
3!,3!^,3,3,3+^/ 3!^3!/3^(3+3) 64
3!,3*,3!+,3!/,3^ ((3!*3+3!)/3!)^3 64
3!,3*,3!,3+/,3!^ (3!*3/(3!+3))^3! 64
3!,3*,3!-,3!/,3!^ ((3!*3-3!)/3!)^3! 64
3!,3*,3!-,3/,3^ ((3!*3-3!)/3)^3 64
3!,3*,3!/!,3/,3!^ ((3!*3/3!)!/3)^3! 64
3!,3*,3,3!+/,3!^ (3!*3/(3+3!))^3! 64
3!,3*,3,3*/,3!^ (3!*3/(3*3))^3! 64
3!,3*,3/,3/,3!^ ((3!*3/3)/3)^3! 64
3!,3+,3!-!,3/,3!^ ((3!+3-3!)!/3)^3! 64
3!,3+,3+,3!/,3!^ ((3!+3+3)/3!)^3! 64
3!,3+,3+,3/,3^ ((3!+3+3)/3)^3 64
3!,3+,3-,3/,3!^ ((3!+3-3)/3)^3! 64
3!,3+,3/!,3/,3!^ (((3!+3)/3)!/3)^3! 64
3!,3,3!!*,3!!//,3!^ (3!/(3*3!!/3!!))^3! 64
3!,3,3!!*/,3!!*,3!^ ((3!/(3*3!!))*3!!)^3! 64
3!,3,3!!+,3!!-/,3!^ (3!/(3+3!!-3!!))^3! 64
3!,3,3!!,3!!-!*/,3!^ (3!/(3*(3!!-3!!)!))^3! 64
3!,3,3!!,3!!-!+-,3!^ (3!-(3+(3!!-3!!)!))^3! 64
3!,3,3!!,3!!-!--,3^ (3!-(3-(3!!-3!!)!))^3 64
3!,3,3!!,3!!-!//,3!^ (3!/(3/(3!!-3!!)!))^3! 64
3!,3,3!!,3!!-!^/,3!^ (3!/3^(3!!-3!!)!)^3! 64
3!,3,3!!,3!!-+/,3!^ (3!/(3+3!!-3!!))^3! 64
3!,3,3!!,3!!--/,3!^ (3!/(3-(3!!-3!!)))^3! 64
3!,3,3!!,3!!/*/,3!^ (3!/(3*3!!/3!!))^3! 64
3!,3,3!!,3!!/+-,3!^ (3!-(3+3!!/3!!))^3! 64
3!,3,3!!,3!!/--,3^ (3!-(3-3!!/3!!))^3 64
3!,3,3!!,3!!///,3!^ (3!/(3/(3!!/3!!)))^3! 64
3!,3,3!!,3!!/^/,3!^ (3!/3^(3!!/3!!))^3! 64
3!,3,3!!-,3!!+/,3!^ (3!/(3-3!!+3!!))^3! 64
3!,3,3!!-^!,3+,3^ (3!^(3-3!!)!+3)^3 64
3!,3,3!*+,3!/,3^ ((3!+3*3!)/3!)^3 64
3!,3,3!*,3!//,3!^ (3!/(3*3!/3!))^3! 64
3!,3,3!*/,3!*,3!^ ((3!/(3*3!))*3!)^3! 64
3!,3,3!+,3!-/,3!^ (3!/(3+3!-3!))^3! 64
3!,3,3!+,3!//,3^ (3!/((3+3!)/3!))^3 64
3!,3,3!+,3//,3!^ (3!/((3+3!)/3))^3! 64
3!,3,3!+/,3!*,3^ ((3!/(3+3!))*3!)^3 64
3!,3,3!+/,3*,3!^ ((3!/(3+3!))*3)^3! 64
3!,3,3!,3!-!*/,3!^ (3!/(3*(3!-3!)!))^3! 64
3!,3,3!,3!-!+-,3!^ (3!-(3+(3!-3!)!))^3! 64
3!,3,3!,3!-!--,3^ (3!-(3-(3!-3!)!))^3 64
3!,3,3!,3!-!//,3!^ (3!/(3/(3!-3!)!))^3! 64
3!,3,3!,3!-!^/,3!^ (3!/3^(3!-3!)!)^3! 64
3!,3,3!,3!-+/,3!^ (3!/(3+3!-3!))^3! 64
3!,3,3!,3!--/,3!^ (3!/(3-(3!-3!)))^3! 64
3!,3,3!,3!/*/,3!^ (3!/(3*3!/3!))^3! 64
3!,3,3!,3!/+-,3!^ (3!-(3+3!/3!))^3! 64
3!,3,3!,3!/--,3^ (3!-(3-3!/3!))^3 64
3!,3,3!,3!///,3!^ (3!/(3/(3!/3!)))^3! 64
3!,3,3!,3!/^/,3!^ (3!/3^(3!/3!))^3! 64
3!,3,3!,3+/*!,3!^ (3!*3/(3!+3))!^3! 64
3!,3,3!,3///,3^ (3!/(3/(3!/3)))^3 64
3!,3,3!-+!,3/,3!^ ((3!+3-3!)!/3)^3! 64
3!,3,3!-,3!+/,3!^ (3!/(3-3!+3!))^3! 64
3!,3,3!-/,3!+,3^ (3!/(3-3!)+3!)^3 64
3!,3,3!/*!,3/,3!^ ((3!*3/3!)!/3)^3! 64
3!,3,3!/,3!*/,3!^ (3!/((3/3!)*3!))^3! 64
3!,3,3!/,3!^,3!*/ 3!/((3/3!)^3!*3!) 64
3!,3,3!/,3!^/,3!/ (3!/(3/3!)^3!)/3! 64
3!,3,3!/,3*/,3^ (3!/((3/3!)*3))^3 64
3!,3,3!//,3!/,3!^ ((3!/(3/3!))/3!)^3! 64
3!,3,3!//,3/,3^ ((3!/(3/3!))/3)^3 64
3!,3,3*,3!-/,3!^ (3!/(3*3-3!))^3! 64
3!,3,3*,3!//,3^ (3!/(3*3/3!))^3 64
3!,3,3*,3//,3!^ (3!/(3*3/3))^3! 64
3!,3,3*/,3!*,3^ ((3!/(3*3))*3!)^3 64
3!,3,3*/,3*,3!^ ((3!/(3*3))*3)^3! 64
3!,3,3++,3!/,3!^ ((3!+3+3)/3!)^3! 64
3!,3,3++,3/,3^ ((3!+3+3)/3)^3 64
3!,3,3+,3-/,3!^ (3!/(3+3-3))^3! 64
3!,3,3+,3/-,3^ (3!-(3+3)/3)^3 64
3!,3,3+-!,3+,3^ ((3!-(3+3))!+3)^3 64
3!,3,3+/,3+,3^ (3!/(3+3)+3)^3 64
3!,3,3+^,3,3!^/ 3!^(3+3)/3^3! 64
3!,3,3,3!+/*!,3!^ (3!*3/(3+3!))!^3! 64
3!,3,3,3!/*/,3^ (3!/(3*3/3!))^3 64
3!,3,3,3*/*!,3!^ (3!*3/(3*3))!^3! 64
3!,3,3,3-!*/,3!^ (3!/(3*(3-3)!))^3! 64
3!,3,3,3-!+-,3!^ (3!-(3+(3-3)!))^3! 64
3!,3,3,3-!--,3^ (3!-(3-(3-3)!))^3 64
3!,3,3,3-!//,3!^ (3!/(3/(3-3)!))^3! 64
3!,3,3,3-!^/,3!^ (3!/3^(3-3)!)^3! 64
3!,3,3,3-+/,3!^ (3!/(3+3-3))^3! 64
3!,3,3,3--/,3!^ (3!/(3-(3-3)))^3! 64
3!,3,3,3/*/,3!^ (3!/(3*3/3))^3! 64
3!,3,3,3/+-,3!^ (3!-(3+3/3))^3! 64
3!,3,3,3/--,3^ (3!-(3-3/3))^3 64
3!,3,3,3///,3!^ (3!/(3/(3/3)))^3! 64
3!,3,3,3/^/,3!^ (3!/3^(3/3))^3! 64
3!,3,3-!*,3/,3!^ (3!*(3-3)!/3)^3! 64
3!,3,3-!+,3-,3^ (3!+(3-3)!-3)^3 64
3!,3,3-!,3*/,3!^ (3!/((3-3)!*3))^3! 64
3!,3,3-!,3+-,3!^ (3!-((3-3)!+3))^3! 64
3!,3,3-!,3-+,3^ (3!+(3-3)!-3)^3 64
3!,3,3-!,3/*!,3!^ (3!*(3-3)!/3)!^3! 64
3!,3,3-!-,3-,3!^ (3!-(3-3)!-3)^3! 64
3!,3,3-!/,3/,3!^ ((3!/(3-3)!)/3)^3! 64
3!,3,3-!^,3/,3!^ (3!^(3-3)!/3)^3! 64
3!,3,3-*!,3+,3^ ((3!*(3-3))!+3)^3 64
3!,3,3-+,3/,3!^ ((3!+3-3)/3)^3! 64
3!,3,3-,3+/,3!^ (3!/(3-3+3))^3! 64
3!,3,3--,3/,3!^ ((3!-(3-3))/3)^3! 64
3!,3,3-^,3+,3^ (3!^(3-3)+3)^3 64
3!,3,3/*,3/,3!^ ((3!*3/3)/3)^3! 64
3!,3,3/+,3-,3^ (3!+3/3-3)^3 &
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Posted by Charlie
on 2008-07-08 11:43:59 |
re: all the asked-for numbers (spoilers)
