Delta-K,  Historical Corner,  Volume 36, Issue 2

Are There an Infinite Number of Twin Primes?

Journal of the Mathematics Council of the Alberta Teachers’ Association

Volume 36 Issue 2, June 1999

64

Are There an Infinite Number of Twin Primes?

Klaus Puhlmann

Twin primes are pairs of prime numbers-such as (3,5), (5, 7), (17, 19}-that differ by 2. It appears at first glance that twin primes occur among the smaller numbers only, but that is not the case. For example, when one examines the numbers between 800 and 900, one finds the twin primes 821 / 823, 827 / 829, 857 / 859 and 881/883. Even among much larger numbers, there is evidence of twin primes: 9890641/9890643.