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List the expressionist numbers (Posted on 2016-05-30) Difficulty: 4 of 5
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    
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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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