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75
4
avatar+14 

Samya thinks of a three-digit integer:

  • It is not a multiple of four.
  • It is greater than 560 but less than 590.
  • It is not a perfect square.
  • The sum of its digits is a prime number

What are the possible numbers?

 

Please help me solve this problem. I have no idea how to solve this. 

 

Thank you in advance.

 Aug 19, 2022
 #1
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562,  566,  571,  575,  577,  586,  Total = 6 such 3-digit numbers.

 Aug 19, 2022
 #2
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Thanks for your answer. Could you explain how you got your answers, please?

somebodyIUsedToKnow  Aug 21, 2022
edited by somebodyIUsedToKnow  Aug 21, 2022
 #3
avatar+2446 
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Just make a list of the numbers and cross out the ones that don't work. 

 Aug 22, 2022
 #4
avatar+14 
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Are there any other ways?

somebodyIUsedToKnow  Aug 22, 2022

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