Charlton's investigation

Level pending

Charlton wanted to investigate a certain group of numbers that satisfy the following:

  • The number is a prime.
  • The number has three digits.
  • The number has a digit sum of 25.
  • The name can be expressed as the sum of the squares of two natural numbers.
  • When the number is divided by 5, it leaves a remainder of 2

Find the largest possible number lesser than 1000


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