(*) Enter the number (<= 600): 75

(~) Found 1 ways of expressing 75 as a sum of 2 primes.
-->  { 2, 73 }
(~) Found 14 ways of expressing 75 as a sum of 3 primes.
-->  { 3, 5, 67 }
-->  { 3, 11, 61 }
-->  { 3, 13, 59 }
-->  { 3, 19, 53 }
-->  { 3, 29, 43 }
-->  { 3, 31, 41 }
-->  { 5, 11, 59 }
-->  { 5, 17, 53 }
-->  { 5, 23, 47 }
-->  { 5, 29, 41 }
-->  { 7, 31, 37 }
-->  { 11, 17, 47 }
-->  { 11, 23, 41 }
-->  { 13, 19, 43 }
(~) Found 17 ways of expressing 75 as a sum of 4 primes.
-->  { 2, 3, 11, 59 }
-->  { 2, 3, 17, 53 }
-->  { 2, 3, 23, 47 }
-->  { 2, 3, 29, 41 }
-->  { 2, 5, 7, 61 }
-->  { 2, 5, 31, 37 }
-->  { 2, 7, 13, 53 }
-->  { 2, 7, 19, 47 }
-->  { 2, 7, 23, 43 }
-->  { 2, 7, 29, 37 }
-->  { 2, 11, 19, 43 }
-->  { 2, 13, 17, 43 }
-->  { 2, 13, 19, 41 }
-->  { 2, 13, 23, 37 }
-->  { 2, 13, 29, 31 }
-->  { 2, 17, 19, 37 }
-->  { 2, 19, 23, 31 }
(~) Found 22 ways of expressing 75 as a sum of 5 primes.
-->  { 3, 5, 7, 13, 47 }
-->  { 3, 5, 7, 17, 43 }
-->  { 3, 5, 7, 19, 41 }
-->  { 3, 5, 7, 23, 37 }
-->  { 3, 5, 7, 29, 31 }
-->  { 3, 5, 11, 13, 43 }
-->  { 3, 5, 11, 19, 37 }
-->  { 3, 5, 13, 17, 37 }
-->  { 3, 5, 13, 23, 31 }
-->  { 3, 5, 17, 19, 31 }
-->  { 3, 7, 11, 13, 41 }
-->  { 3, 7, 11, 17, 37 }
-->  { 3, 7, 11, 23, 31 }
-->  { 3, 7, 13, 23, 29 }
-->  { 3, 7, 17, 19, 29 }
-->  { 3, 11, 13, 17, 31 }
-->  { 3, 11, 13, 19, 29 }
-->  { 3, 13, 17, 19, 23 }
-->  { 5, 7, 11, 23, 29 }
-->  { 5, 7, 13, 19, 31 }
-->  { 5, 11, 13, 17, 29 }
-->  { 5, 11, 17, 19, 23 }
(~) Found 16 ways of expressing 75 as a sum of 6 primes.
-->  { 2, 3, 5, 7, 11, 47 }
-->  { 2, 3, 5, 7, 17, 41 }
-->  { 2, 3, 5, 11, 13, 41 }
-->  { 2, 3, 5, 11, 17, 37 }
-->  { 2, 3, 5, 11, 23, 31 }
-->  { 2, 3, 5, 13, 23, 29 }
-->  { 2, 3, 5, 17, 19, 29 }
-->  { 2, 3, 7, 11, 23, 29 }
-->  { 2, 3, 7, 13, 19, 31 }
-->  { 2, 3, 11, 13, 17, 29 }
-->  { 2, 3, 11, 17, 19, 23 }
-->  { 2, 5, 7, 11, 13, 37 }
-->  { 2, 5, 7, 11, 19, 31 }
-->  { 2, 5, 7, 13, 17, 31 }
-->  { 2, 5, 7, 13, 19, 29 }
-->  { 2, 7, 11, 13, 19, 23 }
(~) Found 1 ways of expressing 75 as a sum of 7 primes.
-->  { 3, 5, 7, 11, 13, 17, 19 }

----< TOTAL 71 UNIQUE SETS OF PRIMES FOUND, WHICH ADD TO 75. >----

----< TIME OF EXECUTION = 0.172 sec. >----