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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: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPart 1 down to 67 entries after eliminating the spuriousCharlie2016-06-02 07:31:32
SolutionPart 1 redone allowing unary negationCharlie2016-06-01 08:04:18
My Top Tenarmando2016-05-31 15:37:13
Supplement to part 1 listCharlie2016-05-31 08:40:44
re: Computer solutionsCharlie2016-05-31 07:39:57
Still therearmando2016-05-31 07:32:43
SolutionPart 2 and BonusCharlie2016-05-31 07:31:18
SolutionComputer "solution" part 1 -- no guarantee of completenessCharlie2016-05-31 07:27:45
Hints/Tipsre: Little startAdy TZIDON2016-05-31 01:33:02
Little startarmando2016-05-30 16:43:00
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