I am a three digit number. The product of the first and last digits is less than 49. The sum of the first two digits is less than 16. The difference of the first and last digits is greater than 0. The sum of the digits is greater than 6. The difference of the last two digits is equal to 2. The sum of the last two digits is equal to 6. The sum of the first and last digits is equal to 8.
What is the 5 digit number in which the sum of the first two digits is one less than the third, the third is double the fourth, the fourth is double the last, the third is the product of the fourth and fifth, the second is five more than the first and the first is one-eighth third and also one-fourth of the fourth?
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
