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# What three prime numbers add up to 144?

Updated: 4/28/2022

Wiki User

6y ago

In order to get three prime numbers to add up to an even number, one of them will have to be even. The only even Prime number is 2.

144 - 2 = 142.

You need to find 2 prime numbers that can add up to 142. 71 is prime and added to itself will be 142, but that won't give you three different prime numbers.

Use a list of prime numbers and subtract each prime that is greater than 71 (fewer than primes less than 71) from 142 to see if the difference is another prime:

142 - 73 = 69 (not prime)

142 - 79 = 63 (not prime)

142 - 83 = 59 (prime)

142 - 89 = 53 (prime)

142 - 97 = 45 (not prime)

142 - 101 = 41 (prime)

142 - 103 = 39 (not prime)

142 - 107 = 35 (not prime)

142 - 109 = 33 (not prime)

142 - 113 = 29 (prime)

142 - 127 = 15 (not prime)

142 - 131 = 11 (prime)

142 - 137 = 5 (prime)

142 - 139 = 3 (prime)

You end up with 7 sets of 3 prime numbers that add up to 144:

• 2, 59, 83
• 2, 53, 89
• 2, 41, 101
• 2, 29, 113
• 2, 11, 131
• 2, 5, 137
• 2, 3, 139

Wiki User

6y ago