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?
Here are all the asked-for numbers, including the 65, 68 and 91 mentioned by Dej Mar.
In all cases x!! should be interpreted as (x!)!
Some 64's may be missing due to trying to get too many on one post, but there are lots of 64's.
(will be needed to be broken into more than 1 post, so as to show all the ways):
3!!,3!,3!*/,3,3^+ 3!!/(3!*3!)+3^3 47
3!!,3!,3+/,33- 3!!/(3!+3)-33 47
3!!,3!/,3!/,3,3^+ (3!!/3!)/3!+3^3 47
3!!,3!/,3+,3/,3!+ (3!!/3!+3)/3+3! 47
3!!,3,3!+/,33- 3!!/(3+3!)-33 47
3!!,3,3*/,33- 3!!/(3*3)-33 47
3!!,3/,3!+,3!/,3!+ (3!!/3+3!)/3!+3! 47
3!!,3/,3/,33- (3!!/3)/3-33 47
3!,3!!,3!/,3+,3/+ 3!+(3!!/3!+3)/3 47
3!,3!!,3/+,3!/,3!+ (3!+3!!/3)/3!+3! 47
3!,3!!,3/,3!+,3!/+ 3!+(3!!/3+3!)/3! 47
3!,3!*,33,3/+ 3!*3!+33/3 47
3!,3!,3!!,3/+,3!/+ 3!+(3!+3!!/3)/3! 47
3!,3,3!!,3!/+,3/+ 3!+(3+3!!/3!)/3 47
3,3!!,3!/+,3/,3!+ (3+3!!/3!)/3+3! 47
3,3^,3!!,3!,3!*/+ 3^3+3!!/(3!*3!) 47
3,3^,3!!,3!/,3!/+ 3^3+(3!!/3!)/3! 47
33,3/,3!,3!*+ 33/3+3!*3! 47
3!!,3!!,3!/-,3!,3!+/ (3!!-3!!/3!)/(3!+3!) 50
3!,3!,3/+!,3!!/,3!- (3!+3!/3)!/3!!-3! 50
3!,3/,3!+!,3!!/,3!- (3!/3+3!)!/3!!-3! 50
3!,3/,3^!,3!!/,3!- (3!/3)^3!/3!!-3! 50
3!!,3!!+,3!!/,3!+!,3!!/ ((3!!+3!!)/3!!+3!)!/3!! 56
3!!,3!!+,3!!/,3^!,3!!/ ((3!!+3!!)/3!!)^3!/3!! 56
3!!,3!!-!,3+!,3/!,3!!/ (((3!!-3!!)!+3)!/3)!/3!! 56
3!!,3!!/,3+!,3/!,3!!/ ((3!!/3!!+3)!/3)!/3!! 56
3!!,3!,3!*/,3!,3!*+ 3!!/(3!*3!)+3!*3! 56
3!!,3!,3^-,3!,3+/ (3!!-3!^3)/(3!+3) 56
3!!,3!,3^-,3,3!+/ (3!!-3!^3)/(3+3!) 56
3!!,3!,3^-,3,3*/ (3!!-3!^3)/(3*3) 56
3!!,3!,3^-,3/,3/ ((3!!-3!^3)/3)/3 56
3!!,3!,3^/,3!+,3!* (3!!/3!^3+3!)*3! 56
3!!,3!/,3!,3/,3!^- 3!!/3!-(3!/3)^3! 56
3!!,3!/,3!,3^+,3!/ (3!!/3!+3!^3)/3! 56
3!!,3!/,3!/,3!,3!*+ (3!!/3!)/3!+3!*3! 56
3!,3!!,3!!+,3!!/+!,3!!/ (3!+(3!!+3!!)/3!!)!/3!! 56
3!,3!!,3!!-!,3--!,3!!/ (3!-((3!!-3!!)!-3))!/3!! 56
3!,3!!,3!!-!-,3+!,3!!/ (3!-(3!!-3!!)!+3)!/3!! 56
3!,3!!,3!!/,3--!,3!!/ (3!-(3!!/3!!-3))!/3!! 56
3!,3!!,3!!/-,3+!,3!!/ (3!-3!!/3!!+3)!/3!! 56
3!,3!!,3!,3^/+,3!* (3!+3!!/3!^3)*3! 56
3!,3!!,3!,3^/,3!+* 3!*(3!!/3!^3+3!) 56
3!,3!*,3!!,3!,3!*/+ 3!*3!+3!!/(3!*3!) 56
3!,3!*,3!!,3!/,3!/+ 3!*3!+(3!!/3!)/3! 56
3!,3!+,3!/,3!+!,3!!/ ((3!+3!)/3!+3!)!/3!! 56
3!,3!+,3!/,3^!,3!!/ ((3!+3!)/3!)^3!/3!! 56
3!,3!+,3/!,3/!,3!!/ (((3!+3!)/3)!/3)!/3!! 56
3!,3!,3!!,3!,3^/+* 3!*(3!+3!!/3!^3) 56
3!,3!,3!+,3!/+!,3!!/ (3!+(3!+3!)/3!)!/3!! 56
3!,3!,3!,3-/+!,3!!/ (3!+3!/(3!-3))!/3!! 56
3!,3!,3!-!,3--!,3!!/ (3!-((3!-3!)!-3))!/3!! 56
3!,3!,3!-!-,3+!,3!!/ (3!-(3!-3!)!+3)!/3!! 56
3!,3!,3!/,3--!,3!!/ (3!-(3!/3!-3))!/3!! 56
3!,3!,3!/-,3+!,3!!/ (3!-3!/3!+3)!/3!! 56
3!,3!,3*+,3/!,3!!/ ((3!+3!*3)/3)!/3!! 56
3!,3!,3+*,3!,3/+ 3!*(3!+3)+3!/3 56
3!,3!,3,3!-/-!,3!!/ (3!-3!/(3-3!))!/3!! 56
3!,3!,3,3^*+,3/ (3!+3!*3^3)/3 56
3!,3!,3-!,3/+!,3!!/ (3!+(3!-3)!/3)!/3!! 56
3!,3!,3-/,3!+!,3!!/ (3!/(3!-3)+3!)!/3!! 56
3!,3!,3-/,3^!,3!!/ (3!/(3!-3))^3!/3!! 56
3!,3!,3/+!,3!,3-!!/ (3!+3!/3)!/(3!-3)!! 56
3!,3!,3/+!,3,3+!/ (3!+3!/3)!/(3+3)! 56
3!,3!,3/-!,3/!,3!!/ ((3!-3!/3)!/3)!/3!! 56
3!,3!-!,3+!,3/!,3!!/ (((3!-3!)!+3)!/3)!/3!! 56
3!,3!/,3+!,3/!,3!!/ ((3!/3!+3)!/3)!/3!! 56
3!,3*,3!+,3/!,3!!/ ((3!*3+3!)/3)!/3!! 56
3!,3*,3*,3!,3/+ 3!*3*3+3!/3 56
3!,3+!,3!!,3!,3+*/ (3!+3)!/(3!!*(3!+3)) 56
3!,3+!,3!!,3*,3*/ (3!+3)!/(3!!*3*3) 56
3!,3+!,3!!,3*/,3/ ((3!+3)!/(3!!*3))/3 56
3!,3+!,3!!,3,3!+*/ (3!+3)!/(3!!*(3+3!)) 56
3!,3+!,3!!,3,3**/ (3!+3)!/(3!!*3*3) 56
3!,3+!,3!!/,3!,3+/ ((3!+3)!/3!!)/(3!+3) 56
3!,3+!,3!!/,3,3!+/ ((3!+3)!/3!!)/(3+3!) 56
3!,3+!,3!!/,3,3*/ ((3!+3)!/3!!)/(3*3) 56
3!,3+!,3!!/,3/,3/ (((3!+3)!/3!!)/3)/3 56
3!,3+!,3!,3+,3!!*/ (3!+3)!/((3!+3)*3!!) 56
3!,3+!,3!,3+/,3!!/ ((3!+3)!/(3!+3))/3!! 56
3!,3+!,3,3!!*,3*/ (3!+3)!/(3*3!!*3) 56
3!,3+!,3,3!!*/,3/ ((3!+3)!/(3*3!!))/3 56
3!,3+!,3,3!!,3**/ (3!+3)!/(3*3!!*3) 56
3!,3+!,3,3!+,3!!*/ (3!+3)!/((3+3!)*3!!) 56
3!,3+!,3,3!+/,3!!/ ((3!+3)!/(3+3!))/3!! 56
3!,3+!,3,3*,3!!*/ (3!+3)!/(3*3*3!!) 56
3!,3+!,3,3*/,3!!/ ((3!+3)!/(3*3))/3!! 56
3!,3+!,3,3,3!!**/ (3!+3)!/(3*3*3!!) 56
3!,3+!,3/,3!!,3*/ ((3!+3)!/3)/(3!!*3) 56
3!,3+!,3/,3!!/,3/ (((3!+3)!/3)/3!!)/3 56
3!,3+!,3/,3,3!!*/ ((3!+3)!/3)/(3*3!!) 56
3!,3+!,3/,3/,3!!/ (((3!+3)!/3)/3)/3!! 56
3!,3+,3!!,3!!-!-!,3!!/ (3!+3-(3!!-3!!)!)!/3!! 56
3!,3+,3!!,3!!/-!,3!!/ (3!+3-3!!/3!!)!/3!! 56
3!,3+,3!*,3!,3/+ (3!+3)*3!+3!/3 56
3!,3+,3!,3!-!-!,3!!/ (3!+3-(3!-3!)!)!/3!! 56
3!,3+,3!,3!/-!,3!!/ (3!+3-3!/3!)!/3!! 56
3!,3+,3,3-!-!,3!!/ (3!+3-(3-3)!)!/3!! 56
3!,3+,3,3/-!,3!!/ (3!+3-3/3)!/3!! 56
3!,3,3!!,3!!-!-+!,3!!/ (3!+3-(3!!-3!!)!)!/3!! 56
3!,3,3!!,3!!/-+!,3!!/ (3!+3-3!!/3!!)!/3!! 56
3!,3,3!*+,3/!,3!!/ ((3!+3*3!)/3)!/3!! 56
3!,3,3!+*,3!,3/+ 3!*(3+3!)+3!/3 56
3!,3,3!,3!-!-+!,3!!/ (3!+3-(3!-3!)!)!/3!! 56
3!,3,3!,3!/-+!,3!!/ (3!+3-3!/3!)!/3!! 56
3!,3,3**,3!,3/+ 3!*3*3+3!/3 56
3!,3,3+,3/+!,3!!/ (3!+(3+3)/3)!/3!! 56
3!,3,3,3-!-+!,3!!/ (3!+3-(3-3)!)!/3!! 56
3!,3,3,3/-+!,3!!/ (3!+3-3/3)!/3!! 56
3!,3,3-!,3--!,3!!/ (3!-((3-3)!-3))!/3!! 56
3!,3,3-!-,3+!,3!!/ (3!-(3-3)!+3)!/3!! 56
3!,3,3/,3--!,3!!/ (3!-(3/3-3))!/3!! 56
3!,3,3/-,3+!,3!!/ (3!-3/3+3)!/3!! 56
3!,3,3^*,3!+,3/ (3!*3^3+3!)/3 56
3!,3,3^,3!*+,3/ (3!+3^3*3!)/3 56
3!,3-!,3!,3/+!,3!!/ ((3!-3)!+3!/3)!/3!! 56
3!,3-!,3/,3!+!,3!!/ ((3!-3)!/3+3!)!/3!! 56
3!,3-!,3/,3^!,3!!/ ((3!-3)!/3)^3!/3!! 56
3!,3/,3!+!,3!,3-!!/ (3!/3+3!)!/(3!-3)!! 56
3!,3/,3!+!,3,3+!/ (3!/3+3!)!/(3+3)! 56
3!,3/,3!,3!,3+*+ 3!/3+3!*(3!+3) 56
3!,3/,3!,3*,3*+ 3!/3+3!*3*3 56
3!,3/,3!,3+,3!*+ 3!/3+(3!+3)*3! 56
3!,3/,3!,3,3!+*+ 3!/3+3!*(3+3!) 56
3!,3/,3!,3,3**+ 3!/3+3!*3*3 56
3!,3/,3!,3-!+!,3!!/ (3!/3+(3!-3)!)!/3!! 56
3!,3/,3!,3-^!,3!!/ (3!/3)^(3!-3)!/3!! 56
3!,3/,3+,3+!,3!!/ (3!/3+3+3)!/3!! 56
3!,3/,3,3!*,3*+ 3!/3+3*3!*3 56
3!,3/,3,3!+,3!*+ 3!/3+(3+3!)*3! 56
3!,3/,3,3!,3**+ 3!/3+3*3!*3 56
3!,3/,3,3*,3!*+ 3!/3+3*3*3! 56
3!,3/,3,3++!,3!!/ (3!/3+3+3)!/3!! 56
3!,3/,3,3,3!**+ 3!/3+3*3*3! 56
3!,3/,3^!,3!,3-!!/ (3!/3)^3!/(3!-3)!! 56
3!,3/,3^!,3,3+!/ (3!/3)^3!/(3+3)! 56
3!,3^,3!!,3!/+,3!/ (3!^3+3!!/3!)/3! 56
3!,3^,3,3^/!,3!!/ (3!^3/3^3)!/3!! 56
3,3!!,3!!-!+!,3/!,3!!/ ((3+(3!!-3!!)!)!/3)!/3!! 56
3,3!!,3!!-!,3!--!,3!!/ (3-((3!!-3!!)!-3!))!/3!! 56
3,3!!,3!!-!-,3!+!,3!!/ (3-(3!!-3!!)!+3!)!/3!! 56
3,3!!,3!!-!-,3^!,3!!/ (3-(3!!-3!!)!)^3!/3!! 56
3,3!!,3!!/+!,3/!,3!!/ ((3+3!!/3!!)!/3)!/3!! 56
3,3!!,3!!/,3!--!,3!!/ (3-(3!!/3!!-3!))!/3!! 56
3,3!!,3!!/-,3!+!,3!!/ (3-3!!/3!!+3!)!/3!! 56
3,3!!,3!!/-,3^!,3!!/ (3-3!!/3!!)^3!/3!! 56
3,3!*,3!+,3/!,3!!/ ((3*3!+3!)/3)!/3!! 56
3,3!*,3*,3!,3/+ 3*3!*3+3!/3 56
3,3!+!,3!!,3!,3+*/ (3+3!)!/(3!!*(3!+3)) 56
3,3!+!,3!!,3*,3*/ (3+3!)!/(3!!*3*3) 56
3,3!+!,3!!,3*/,3/ ((3+3!)!/(3!!*3))/3 56
3,3!+!,3!!,3,3!+*/ (3+3!)!/(3!!*(3+3!)) 56
3,3!+!,3!!,3,3**/ (3+3!)!/(3!!*3*3) 56
3,3!+!,3!!/,3!,3+/ ((3+3!)!/3!!)/(3!+3) 56
3,3!+!,3!!/,3,3!+/ ((3+3!)!/3!!)/(3+3!) 56
3,3!+!,3!!/,3,3*/ ((3+3!)!/3!!)/(3*3) 56
3,3!+!,3!!/,3/,3/ (((3+3!)!/3!!)/3)/3 56
3,3!+!,3!,3+,3!!*/ (3+3!)!/((3!+3)*3!!) 56
3,3!+!,3!,3+/,3!!/ ((3+3!)!/(3!+3))/3!! 56
3,3!+!,3,3!!*,3*/ (3+3!)!/(3*3!!*3) 56
3,3!+!,3,3!!*/,3/ ((3+3!)!/(3*3!!))/3 56
3,3!+!,3,3!!,3**/ (3+3!)!/(3*3!!*3) 56
3,3!+!,3,3!+,3!!*/ (3+3!)!/((3+3!)*3!!) 56
3,3!+!,3,3!+/,3!!/ ((3+3!)!/(3+3!))/3!! 56
3,3!+!,3,3*,3!!*/ (3+3!)!/(3*3*3!!) 56
3,3!+!,3,3*/,3!!/ ((3+3!)!/(3*3))/3!! 56
3,3!+!,3,3,3!!**/ (3+3!)!/(3*3*3!!) 56
3,3!+!,3/,3!!,3*/ ((3+3!)!/3)/(3!!*3) 56
3,3!+!,3/,3!!/,3/ (((3+3!)!/3)/3!!)/3 56
3,3!+!,3/,3,3!!*/ ((3+3!)!/3)/(3*3!!) 56
3,3!+!,3/,3/,3!!/ (((3+3!)!/3)/3)/3!! 56
3,3!+,3!!,3!!-!-!,3!!/ (3+3!-(3!!-3!!)!)!/3!! 56
3,3!+,3!!,3!!/-!,3!!/ (3+3!-3!!/3!!)!/3!! 56
3,3!+,3!*,3!,3/+ (3+3!)*3!+3!/3 56
3,3!+,3!,3!-!-!,3!!/ (3+3!-(3!-3!)!)!/3!! 56
3,3!+,3!,3!/-!,3!!/ (3+3!-3!/3!)!/3!! 56
3,3!+,3,3-!-!,3!!/ (3+3!-(3-3)!)!/3!! 56
3,3!+,3,3/-!,3!!/ (3+3!-3/3)!/3!! 56
3,3!,3!!,3!!-!-+!,3!!/ (3+3!-(3!!-3!!)!)!/3!! 56
3,3!,3!!,3!!/-+!,3!!/ (3+3!-3!!/3!!)!/3!! 56
3,3!,3!,3!-!-+!,3!!/ (3+3!-(3!-3!)!)!/3!! 56
3,3!,3!,3!/-+!,3!!/ (3+3!-3!/3!)!/3!! 56
3,3!,3!-!+!,3/!,3!!/ ((3+(3!-3!)!)!/3)!/3!! 56
3,3!,3!-!,3!--!,3!!/ (3-((3!-3!)!-3!))!/3!! 56
3,3!,3!-!-,3!+!,3!!/ (3-(3!-3!)!+3!)!/3!! 56
3,3!,3!-!-,3^!,3!!/ (3-(3!-3!)!)^3!/3!! 56
3,3!,3!/+!,3/!,3!!/ ((3+3!/3!)!/3)!/3!! 56
3,3!,3!/,3!--!,3!!/ (3-(3!/3!-3!))!/3!! 56
3,3!,3!/-,3!+!,3!!/ (3-3!/3!+3!)!/3!! 56
3,3!,3!/-,3^!,3!!/ (3-3!/3!)^3!/3!! 56
3,3!,3**,3!,3/+ 3*3!*3+3!/3 56
3,3!,3,3-!-+!,3!!/ (3+3!-(3-3)!)!/3!! 56
3,3!,3,3/-+!,3!!/ (3+3!-3/3)!/3!! 56
3,3!,3/+,3+!,3!!/ (3+3!/3+3)!/3!! 56
3,3!,3/,3++!,3!!/ (3+3!/3+3)!/3!! 56
3,3!/,3,3!-^!,3!!/ (3/3!)^(3-3!)!/3!! 56
3,3*!,3!!,3!,3+*/ (3*3)!/(3!!*(3!+3)) 56
3,3*!,3!!,3*,3*/ (3*3)!/(3!!*3*3) 56
3,3*!,3!!,3*/,3/ ((3*3)!/(3!!*3))/3 56
3,3*!,3!!,3,3!+*/ (3*3)!/(3!!*(3+3!)) 56
3,3*!,3!!,3,3**/ (3*3)!/(3!!*3*3) 56
3,3*!,3!!/,3!,3+/ ((3*3)!/3!!)/(3!+3) 56
3,3*!,3!!/,3,3!+/ ((3*3)!/3!!)/(3+3!) 56
3,3*!,3!!/,3,3*/ ((3*3)!/3!!)/(3*3) 56
3,3*!,3!!/,3/,3/ (((3*3)!/3!!)/3)/3 56
3,3*!,3!,3+,3!!*/ (3*3)!/((3!+3)*3!!) 56
3,3*!,3!,3+/,3!!/ ((3*3)!/(3!+3))/3!! 56
3,3*!,3,3!!*,3*/ (3*3)!/(3*3!!*3) 56
3,3*!,3,3!!*/,3/ ((3*3)!/(3*3!!))/3 56
3,3*!,3,3!!,3**/ (3*3)!/(3*3!!*3) 56
3,3*!,3,3!+,3!!*/ (3*3)!/((3+3!)*3!!) 56
3,3*!,3,3!+/,3!!/ ((3*3)!/(3+3!))/3!! 56
3,3*!,3,3*,3!!*/ (3*3)!/(3*3*3!!) 56
3,3*!,3,3*/,3!!/ ((3*3)!/(3*3))/3!! 56
3,3*!,3,3,3!!**/ (3*3)!/(3*3*3!!) 56
3,3*!,3/,3!!,3*/ ((3*3)!/3)/(3!!*3) 56
3,3*!,3/,3!!/,3/ (((3*3)!/3)/3!!)/3 56
3,3*!,3/,3,3!!*/ ((3*3)!/3)/(3*3!!) 56
3,3*!,3/,3/,3!!/ (((3*3)!/3)/3)/3!! 56
3,3*,3!!,3!!-!-!,3!!/ (3*3-(3!!-3!!)!)!/3!! 56
3,3*,3!!,3!!/-!,3!!/ (3*3-3!!/3!!)!/3!! 56
3,3*,3!*,3!,3/+ 3*3*3!+3!/3 56
3,3*,3!,3!-!-!,3!!/ (3*3-(3!-3!)!)!/3!! 56
3,3*,3!,3!/-!,3!!/ (3*3-3!/3!)!/3!! 56
3,3*,3,3-!-!,3!!/ (3*3-(3-3)!)!/3!! 56
3,3*,3,3/-!,3!!/ (3*3-3/3)!/3!! 56
3,3+,3!,3/+!,3!!/ (3+3+3!/3)!/3!! 56
3,3+,3/,3!+!,3!!/ ((3+3)/3+3!)!/3!! 56
3,3+,3/,3^!,3!!/ ((3+3)/3)^3!/3!! 56
3,3,3!**,3!,3/+ 3*3*3!+3!/3 56
3,3,3!,3/++!,3!!/ (3+3+3!/3)!/3!! 56
3,3,3-!+!,3/!,3!!/ ((3+(3-3)!)!/3)!/3!! 56
3,3,3-!,3!--!,3!!/ (3-((3-3)!-3!))!/3!! 56
3,3,3-!-,3!+!,3!!/ (3-(3-3)!+3!)!/3!! 56
3,3,3-!-,3^!,3!!/ (3-(3-3)!)^3!/3!! 56
3,3,3/+!,3/!,3!!/ ((3+3/3)!/3)!/3!! 56
3,3,3/,3!--!,3!!/ (3-(3/3-3!))!/3!! 56
3,3,3/-,3!+!,3!!/ (3-3/3+3!)!/3!! 56
3,3,3/-,3^!,3!!/ (3-3/3)^3!/3!! 56
3,3-!,3+!,3/!,3!!/ (((3-3)!+3)!/3)!/3!! 56
3,3/,3+!,3/!,3!!/ ((3/3+3)!/3)!/3!! 56
3,333+,3!/ (3+333)/3! 56
3,3^,3!*,3!+,3/ (3^3*3!+3!)/3 56
3,3^,3-,3/!,3!!/ ((3^3-3)/3)!/3!! 56
33,3/,3-!,3!!/ (33/3-3)!/3!! 56
333,3+,3!/ (333+3)/3! 56
3!!,3!!+,3!!/,3!^,3!- ((3!!+3!!)/3!!)^3!-3! 58
3!!,3!!-!,3+,3^,3!- ((3!!-3!!)!+3)^3-3! 58
3!!,3!!/,3+,3^,3!- (3!!/3!!+3)^3-3! 58
3!!,3!,3!+/,3!,3/- 3!!/(3!+3!)-3!/3 58
3!!,3!,3*/,3!,3*+ 3!!/(3!*3)+3!*3 58
3!!,3!,3*/,3,3!*+ 3!!/(3!*3)+3*3! 58
3!!,3!/,3/,3!,3*+ (3!!/3!)/3+3!*3 58
3!!,3!/,3/,3,3!*+ (3!!/3!)/3+3*3! 58
3!!,3,3!*/,3!,3*+ 3!!/(3*3!)+3!*3 58
3!!,3,3!*/,3,3!*+ 3!!/(3*3!)+3*3! 58
3!!,3/,3!/,3!,3*+ (3!!/3)/3!+3!*3 58
3!!,3/,3!/,3,3!*+ (3!!/3)/3!+3*3! 58
3!,3!+,3!/,3!^,3!- ((3!+3!)/3!)^3!-3! 58
3!,3!+,3/,3^,3!- ((3!+3!)/3)^3-3! 58
3!,3!,3-/,3!^,3!- (3!/(3!-3))^3!-3! 58
3!,3!,3/-,3^,3!- (3!-3!/3)^3-3! 58
3!,3!-!,3+,3^,3!- ((3!-3!)!+3)^3-3! 58
3!,3!/,3+,3^,3!- (3!/3!+3)^3-3! 58
3!,3!^,3,3!^/,3!- 3!^3!/3^3!-3! 58
3!,3*,3!!,3!,3*/+ 3!*3+3!!/(3!*3) 58
3!,3*,3!!,3!/,3/+ 3!*3+(3!!/3!)/3 58
3!,3*,3!!,3,3!*/+ 3!*3+3!!/(3*3!) 58
3!,3*,3!!,3/,3!/+ 3!*3+(3!!/3)/3! 58
3!,3-!,3/,3!^,3!- ((3!-3)!/3)^3!-3! 58
3!,3/,3!,3-!^,3!- (3!/3)^(3!-3)!-3! 58
3!,3/,3!^,3!,3-!- (3!/3)^3!-(3!-3)! 58
3!,3/,3!^,3,3+- (3!/3)^3!-(3+3) 58
3!,3/,3!^,3-,3- (3!/3)^3!-3-3 58
3!,3/,3,3+^,3!- (3!/3)^(3+3)-3! 58
3,3!!,3!!-!+,3^,3!- (3+(3!!-3!!)!)^3-3! 58
3,3!!,3!!-!-,3!^,3!- (3-(3!!-3!!)!)^3!-3! 58
3,3!!,3!!/+,3^,3!- (3+3!!/3!!)^3-3! 58
3,3!!,3!!/-,3!^,3!- (3-3!!/3!!)^3!-3! 58
3,3!*,3!!,3!,3*/+ 3*3!+3!!/(3!*3) 58
3,3!*,3!!,3!/,3/+ 3*3!+(3!!/3!)/3 58
3,3!*,3!!,3,3!*/+ 3*3!+3!!/(3*3!) 58
3,3!*,3!!,3/,3!/+ 3*3!+(3!!/3)/3! 58
3,3!,3!-!+,3^,3!- (3+(3!-3!)!)^3-3! 58
3,3!,3!-!-,3!^,3!- (3-(3!-3!)!)^3!-3! 58
3,3!,3!/+,3^,3!- (3+3!/3!)^3-3! 58
3,3!,3!/-,3!^,3!- (3-3!/3!)^3!-3! 58
3,3+,3/,3!^,3!- ((3+3)/3)^3!-3! 58
3,3,3-!+,3^,3!- (3+(3-3)!)^3-3! 58
3,3,3-!-,3!^,3!- (3-(3-3)!)^3!-3! 58
3,3,3/+,3^,3!- (3+3/3)^3-3! 58
3,3,3/-,3!^,3!- (3-3/3)^3!-3! 58
3,3-!,3+,3^,3!- ((3-3)!+3)^3-3! 58
3,3/,3+,3^,3!- (3/3+3)^3-3! 58
3!!,3!!+,3!!/,3!,3-!^ ((3!!+3!!)/3!!)^(3!-3)! 64
3!!,3!!+,3!!/,3,3+^ ((3!!+3!!)/3!!)^(3+3) 64
3!!,3!!+,3!,3-!!/,3!^ ((3!!+3!!)/(3!-3)!!)^3! 64
3!!,3!!+,3!^,3!!,3!^/ (3!!+3!!)^3!/3!!^3! 64
3!!,3!!+,3,3+!/,3!^ ((3!!+3!!)/(3+3)!)^3! 64
3!!,3!!,3!!-*!,3+,3^ ((3!!*(3!!-3!!))!+3)^3 64
3!!,3!!,3!!-^,3+,3^ (3!!^(3!!-3!!)+3)^3 64
3!!,3!!,3!,3/,3!^-- 3!!-(3!!-(3!/3)^3!) 64
3!!,3!!,3!,3/,3!^// 3!!/(3!!/(3!/3)^3!) 64
3!!,3!!,3!,3/--,3!^ (3!!-(3!!-3!/3))^3! 64
3!!,3!!,3!,3///,3!^ (3!!/(3!!/(3!/3)))^3! 64
3!!,3!!,3!--,3/,3!^ ((3!!-(3!!-3!))/3)^3! 64
3!!,3!!,3!/,3*/,3!^ (3!!/((3!!/3!)*3))^3! 64
3!!,3!!,3!//,3/,3!^ ((3!!/(3!!/3!))/3)^3! 64
3!!,3!!,3*+,3!!/,3^ ((3!!+3!!*3)/3!!)^3 64
3!!,3!!,3*,3!//,3!^ (3!!/(3!!*3/3!))^3! 64
3!!,3!!,3*/,3!*,3!^ ((3!!/(3!!*3))*3!)^3! 64
3!!,3!!,3,3!/*/,3!^ (3!!/(3!!*3/3!))^3! 64
3!!,3!!,3,3!/,3!^*/ 3!!/(3!!*(3/3!)^3!) 64
3!!,3!!,3--!,3/,3!^ ((3!!-(3!!-3))!/3)^3! 64
3!!,3!!,3//!,3/,3!^ ((3!!/(3!!/3))!/3)^3! 64
3!!,3!!-!,3!!,3!!-!+,3!^ ((3!!-3!!)!+(3!!-3!!)!)^3! 64
3!!,3!!-!,3!!,3!!/+,3!^ ((3!!-3!!)!+3!!/3!!)^3! 64
3!!,3!!-!,3!!^,3+,3^ ((3!!-3!!)!^3!!+3)^3 64
3!!,3!!-!,3!*,3/,3!^ ((3!!-3!!)!*3!/3)^3! 64
3!!,3!!-!,3!+,3-,3^ ((3!!-3!!)!+3!-3)^3 64
3!!,3!!-!,3!,3!-!+,3!^ ((3!!-3!!)!+(3!-3!)!)^3! 64
3!!,3!!-!,3!,3!/+,3!^ ((3!!-3!!)!+3!/3!)^3! 64
3!!,3!!-!,3!,3-+,3^ ((3!!-3!!)!+3!-3)^3 64
3!!,3!!-!,3!,3/*,3!^ ((3!!-3!!)!*3!/3)^3! 64
3!!,3!!-!,3!,3/,3!^* (3!!-3!!)!*(3!/3)^3! 64
3!!,3!!-!,3!^,3+,3^ ((3!!-3!!)!^3!+3)^3 64
3!!,3!!-!,3*!,3/,3!^ (((3!!-3!!)!*3)!/3)^3! 64
3!!,3!!-!,3+!,3!/,3^ (((3!!-3!!)!+3)!/3!)^3 64
3!!,3!!-!,3+,3!,3-^ ((3!!-3!!)!+3)^(3!-3) 64
3!!,3!!-!,3,3!--,3^ ((3!!-3!!)!-(3-3!))^3 64
3!!,3!!-!,3,3!/,3!^/ (3!!-3!!)!/(3/3!)^3! 64
3!!,3!!-!,3,3!//,3!^ ((3!!-3!!)!/(3/3!))^3! 64
3!!,3!!-!,3,3-!+,3!^ ((3!!-3!!)!+(3-3)!)^3! 64
3!!,3!!-!,3,3/+,3!^ ((3!!-3!!)!+3/3)^3! 64
3!!,3!!-!,3-,3!+,3^ ((3!!-3!!)!-3+3!)^3 64
3!!,3!!-!,3/,3!*,3!^ (((3!!-3!!)!/3)*3!)^3! 64
3!!,3!!-!,3^,3+,3^ ((3!!-3!!)!^3+3)^3 64
3!!,3!!-,3!!*!,3+,3^ (((3!!-3!!)*3!!)!+3)^3 64
3!!,3!!-,3!!/!,3+,3^ (((3!!-3!!)/3!!)!+3)^3 64
3!!,3!!-,3!*!,3+,3^ (((3!!-3!!)*3!)!+3)^3 64
3!!,3!!-,3!+,3/,3!^ ((3!!-3!!+3!)/3)^3! 64
3!!,3!!-,3!,3/+,3!^ (3!!-3!!+3!/3)^3! 64
3!!,3!!-,3!,3/,3!^+ 3!!-3!!+(3!/3)^3! 64
3!!,3!!-,3!/!,3+,3^ (((3!!-3!!)/3!)!+3)^3 64
3!!,3!!-,3*!,3+,3^ (((3!!-3!!)*3)!+3)^3 64
3!!,3!!-,3+!,3/,3!^ ((3!!-3!!+3)!/3)^3! 64
3!!,3!!-,3/!,3+,3^ (((3!!-3!!)/3)!+3)^3 64
3!!,3!!/,3!!,3!!-!+,3!^ (3!!/3!!+(3!!-3!!)!)^3! 64
3!!,3!!/,3!!,3!!/+,3!^ (3!!/3!!+3!!/3!!)^3! 64
3!!,3!!/,3!!^,3+,3^ ((3!!/3!!)^3!!+3)^3 64
3!!,3!!/,3!*,3/,3!^ ((3!!/3!!)*3!/3)^3! 64
3!!,3!!/,3!+,3-,3^ (3!!/3!!+3!-3)^3 64
3!!,3!!/,3!,3!-!+,3!^ (3!!/3!!+(3!-3!)!)^3! 64
3!!,3!!/,3!,3!/+,3!^ (3!!/3!!+3!/3!)^3! 64
3!!,3!!/,3!,3-+,3^ (3!!/3!!+3!-3)^3 64
3!!,3!!/,3!,3/*,3!^ ((3!!/3!!)*3!/3)^3! 64
3!!,3!!/,3!,3/,3!^* (3!!/3!!)*(3!/3)^3! 64
3!!,3!!/,3!^,3+,3^ ((3!!/3!!)^3!+3)^3 64
3!!,3!!/,3*!,3/,3!^ (((3!!/3!!)*3)!/3)^3! 64
3!!,3!!/,3+!,3!/,3^ ((3!!/3!!+3)!/3!)^3 64
3!!,3!!/,3+,3!,3-^ (3!!/3!!+3)^(3!-3) 64
3!!,3!!/,3,3!--,3^ (3!!/3!!-(3-3!))^3 64
3!!,3!!/,3,3!/,3!^/ (3!!/3!!)/(3/3!)^3! 64
3!!,3!!/,3,3!//,3!^ ((3!!/3!!)/(3/3!))^3! 64
3!!,3!!/,3,3-!+,3!^ (3!!/3!!+(3-3)!)^3! 64
3!!,3!!/,3,3/+,3!^
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Posted by Charlie
on 2008-07-08 11:41:52 |
all the asked-for numbers (spoilers)
