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Inder Taneja's discovery (Posted on 2017-05-11) Difficulty: 3 of 5
Natural numbers from 0 to 11111 are written in terms of 1 to 9 in two different ways. The first one in increasing order of 1 to 9, and the second one in decreasing order. This is done by using the operations of addition, multiplication, subtraction, potentiation, and division.
In both the situations there are no missing numbers, except one, i.e., 10958 in the increasing case.
Examples:
591=123*4+5*6+78-9
7936=123+4^5+6789
6439 = 9 * (8 + 7 + 6) + 5^4 * (3^2 + 1)

Please try to express the missing number obeying the specified rules.
Summarize your results.

Taneja’s paper is here - https://arxiv.org/abs/1302.1479

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: How far could the list be extended?Charlie2017-05-12 13:50:00
How far could the list be extended?Charlie2017-05-12 13:17:11
A step beyond Taneja's listCharlie2017-05-11 22:42:29
Some Thoughtssome computer resultsCharlie2017-05-11 14:08:31
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