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 List the expressionist numbers (Posted on 2016-05-30)
Consider numbers like 343 or 2592.
343=(3+4)^3
2592=2^5*9^2.

We have just shown that some numbers stay unchanged when a number of mathematical operators are added /inserted, without changing the order of the digits.
Within our puzzle lets call those numbers expressionist numbers.
Let us limit the set of acceptable mathematical symbols to the following operators: +, -, *, /, ^, sqrt, !. and any amount of brackets.

My questions:
In the period between 10 A.D. & 2016 A.D. what years were labeled by expressionist numbers?
How many such years will there be between 2017 A.D. & 9999 A.D.?

Bonus: How about one, two (or more) 5-digit examples?

 No Solution Yet Submitted by Ady TZIDON No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 My Top Ten | Comment 8 of 10 |
`24    24r+!                 (2+sqrt(4))!36    3!6*                  3! * 6`
`71    7!1+r                 sqrt(7! + 1)`
`144   14r+!4!*             (1+sqr(4))! * 4!145   14!+5!+              1+4!+5!`
`355   35!*5-               3*5!-5`
`456   45!6-*               4*(5!-6)`
`733   73!!+3!+             7+3!!+3!736   736^+                7+3^6`
`1285  128^+5*             (1+2^8)*5   `
`1573  15!+73!+*           (1+5!)*(7+3!)`

 Posted by armando on 2016-05-31 15:37:13

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