SOLUTION: I am a number between 6 and 150. I am one more than a square number. The sum of my digits is a multiple of 5. I am prime. What number am I. Explain your strategy.

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Question 558730: I am a number between 6 and 150.
I am one more than a square number.
The sum of my digits is a multiple of 5.
I am prime.
What number am I.
Explain your strategy.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The square numbers it could be 1 more than are

                        9,16,25,36,49,64,81,100,121,144

Add 1 to each:         10,17,26,37,50,65,82,101,122,145

The only primes in that list are 17, 37, and 101, so it's one of those three.

The sums of digits of those are   8, 10, and   2

10 is the only sum of digits which is a multiple of 5.

So the answer is 37.

Edwin