by Nikos Lygeros |

Abstract: In 1967 the first set of 6 consecutive primes in arithmetic
progression was found. In 1995 the first set of 7 consecutive primes in
arithmetic progression was found. Between November, 1997 and March, 1998, we
succeeded in finding sets of 8, 9 and 10 consecutive primes in arithmetic
progression. This was made possible because of the increase in computer
capability and availability, and the ability to obtain computational help
via the Internet. Although it is conjectured that there exist arbitrarily
long sequences of consecutive primes in arithmetic progression, it is very
likely that 10 primes will remain the record for a long time.