Prime Number Sense

March 2, 2015
Topics/Content Areas: 

If n is the sum of three consecutive primes and also is the product of two 2-digit primes, what is the least possible value of n?

 

If p is the sum of three consecutive primes and also is the square of a prime, what is the least possible value of p

 

Three consecutive primes have a sum equal to the product of two other primes that have a difference of 34. What is the value of the greatest of the three consecutive primes?