They are: 4+6+8+9+10+12+14+15+16+18 = 112
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What is the sum of the composite numbers less than 10?4 + 6 + 8 + 9 = 27
The sum is 75.
2 composite numbers whose prime factorization have a sum of 10 are 30 (2+3+5=10) and 21 (3+7=10).
The sum first Prime number is (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 ) = 129 The sum of the first composite numbers is (4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18) = 112 The difference is 129 - 112 = 17 !!!!!
There are infinitely many composite numbers. There are, therefore, infinitely many subsets of ten such numbers. There are, therefore, infinitely many possible sums.