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For all three parts, consider integers with all of the following properties:
- the SOD(n^2) is also a square
- the SOD(n^3) is also a cube
- the SOD(n^4) is also a fourth power
- n is NOT a power of 10

Please find A, B, and C where:
(Part 1) A is the smallest such integer.
(Part 2) B is the smallest such integer whose first digit is different than the first digit of A.
(Part 3) C is the smallest such integer whose first digit is different than the first digit of A or B.

** SOD(n) is the Sum Of Digits of n

(No Solution Yet, 0 Comments) Submitted on 2022-07-07 by Larry   
Difficulty: 3 of 5 Bonus: Composite Total (in Numbers) Rating: 2.50
There is a composite number that's the sum of three 3-digit primes of the following sort: The first and the last digit are each 1-digit primes, and the first two digits taken together, as well as the last two digits taken together, are each 2-digit primes.

What are the three 3-digit primes that sum to the composite number in question?

(Solution Posted, 2 Comments) Submitted on 2009-03-31 by Charlie   
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