If you add these two prime numbers together, both less than 37, you will get me, and I am also less than 37?

Question

There are 168 primes less than 1,000. What is the sum of the prime numbers less than 1,000?

(a) 11,555
(b) 76,127
(c) 57,298
(d) 81,722

Answer 1

Prime numbers smaller than 37 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
If asked number is also prime then possible solutions:
2+3=5
2+5=7
2+11=13
2+29=31
If no restriction on the resulting number then there are more possible solutions:
Combination of 2- 5, 7, 9, 13, 15, 19, 21, 25, 31, 33
Combination of 3- 8, 10, 14, 16, 20, 22, 26, 32, 34
Combination of 5- 12, 16, 18, 22, 24, 28, 34, 36
Combination of 7- 18, 20, 24, 26, 30, 36
Combination of 11- 24, 28, 30, 34
Combination of 13- 30, 36
Combination of 17- 36

Answer 2

The answer is 3 + 7 = 10
Prime numbers are : 3 and 7