Sunday musings!
Find this five digit number - ABCDE (Digits can repeat and not necessarily distinct)
- It can be expressed as (a ^ b) x (c ^ b) where a, b, c are integers
- (b ^ a) x (b ^ c) is a special number in its own sense
- Remove the 2nd digit (B) and it is a perfect square
- Add 1 to B and swap with A - (BACDE) and it is still a perfect square!
Find this five digit number - ABCDE (Digits can repeat and not necessarily distinct)
- It can be expressed as (a ^ b) x (c ^ b) where a, b, c are integers
- (b ^ a) x (b ^ c) is a special number in its own sense
- Remove the 2nd digit (B) and it is a perfect square
- Add 1 to B and swap with A - (BACDE) and it is still a perfect square!
Answer to Blog #61 - Five Digit Number fun
ReplyDeleteThe answer is 50625
50625 = 3 ^ 4 x 5 ^ 4
4 ^ 3 x 4 ^ 5 = 65536 which is a well known number in IT Parlance
Remove 0 and it is a perfect square
Add 1 to 0 and swap with 5 and you get 15625 which is a perfect square