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, ...

Sequences of integers exist with any possible upper density and lower density which do not contain an infinitely long arithmetic progression. Journal Information This monthly journal, begun in 1950, ...

Each term in this sequence is doubling (multiplying by 2) to create the next term. Number sequences are sets of numbers that follow a pattern or a rule. If the rule is to multiply or divide by a ...

A long-standing puzzle seems to constrain how addition and multiplication relate to each other. A graduate student has gone further than anyone else in establishing the connection. In 1983 the ...

A pair of mathematicians has solved the first chunk of one of the most famous conjectures about the additive properties of whole numbers. Proposed more than 60 years ago by the legendary Hungarian ...