Between each pair of terms in this sequence is the amount the sequence is decreasing by. The 𝒏th term refers to a term's position in the sequence, for example, the first term has 𝒏 = 1, the second ...

Let p be an odd prime. Define $e_{n}=\cases (-1)^{n+\overline{n}}, & \text{if}\ n\ \text{is a quadratic residue mod}\ p\,\\ (-1)^{n+\overline{n}+1}, & \text{if}\ n ...

CERTAIN quadratic series abound in prime numbers 1. Take, for example, the following Sequence in which the consecutive differences are 2, 4, 6, 8, etc. These are all prime numbers; the next term in ...