1. (8 points) If the difference between two prime numbers is exactly 2, these two prime numbers are called a pair of twin primes.
For example, 3 and 5 are a pair of twin primes, and 29 and 31 are also a pair of twin primes. In number theory research, twin primes are one of the hottest research topics. Chinese-American mathematician Yitang Zhang has made remarkable achievements in this field, and his story has inspired more young students to devote themselves to mathematical research. Among the integers not exceeding 100, a total of _ 8 pairs of twin primes can be found.
【Answer】Solution: Among the integers not exceeding 100, the following 8 pairs: 3, 5; 5, 7; 11, 13; 17, 19; 29, 31; 41, 43; 59, 61; 71, 73 are twin primes. Therefore, the answer is 8.