# Tag Archives: Powers

## n-digit integers which are also an n-th power

Here are some examples:   1-digit:       2-digit:       3-digit:     4-digit:     5-digit:     6-digit:     7-digit:     8-digit:     9-digit:               10-digit:               11-digit:     12-digit:     13-digit:     14-digit:     15-digit: … Continue reading

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## Powers & Sum Digits – Num3ers from 2 to 20 — Part 1

Numbers from 2 to 20   –   Part 1

## x^a + y^b = z^c with 1/a + 1/b + 1/c < 1

……………..              with          ……………     …………..     ………….     …………     Find other examples.                                                                  ——————————————   we need multiples of 3 for the values of   … Continue reading

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## Numbers such that concatenation of prime factors is a power

For example,

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## Powers consisting of n distinct digits, averaging n

Could we have more than 6 distinct digits?

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## 3-digit num3ers whose odd powers (1 to 19) end with the same num3er

This is the list of all 3 digit numbers, powers 1 to 19

## Patterns | (x + y + z)^n – (x^n + y^n + z^n); n = 2,3,5,7

in     exponents being the prime numbers   2, 3, 5, 7 :     Find out whether the pattern continues with   n = 11, 13                   … Continue reading

## Patterns | Integer N, N^2 = x^3 + y^3

To Be Continued