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Write 110 as a sum of prime numbers

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User Jtallk
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1 Answer

5 votes

Prime numbers up to 110

  • 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109.

We see there is one even prime and all the rest are odd numbers.

The question is to find the sum made by the numbers listed above. Since 110 is even number it can be expressed as the sum of two or more prime numbers.

The sums

  • 110 = 3 + 107,
  • 110 = 7 + 103 = 2 + 5 + 2 + 101,
  • 110 = 13 + 97 = 2 + 11 + 97,
  • 110 = 31 + 79 = 2 + 29 + 79,
  • 110 = 37 + 73 = 37 + 2 + 71,
  • 110 = 43 + 67 = 2 + 41 + 67.

This is what I could observe, there may be more if I missed any.

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