Water Quality Monitoring in North River and Little River in Nottingham, NH

The Town of Nottingham Conservation Commission (NCC) in New Hampshire purchased water testing equipment for monitoring the North and Little Rivers as part of the New Hampshire Volunteer River Assessment Program (VRAP). The equipment enabled NCC and Lamprey River Watershed Association (LRWA) volunteer water samplers to efficiently monitor water quality on the two rivers twice a month from May 2007 to June 2008

Refined Goldbach conjectures with primes in progressions

We formulate some refinements of Goldbach's conjectures based on heuristic arguments and numerical data. For instance, any even number greater than 4 is conjectured to be a sum of two primes with one prime being 3 mod 4. In general, for fixed $m$ and $a, b$ coprime to $m$, any positive even $n \equiv a + b \bmod m$ outside of a finite exceptional set is expected to be a sum of two primes $p$ and $q$ with $p \equiv a \bmod m$, $q \equiv b \bmod m$. We make conjectures about the growth of these exceptional sets.Comment: 10 page