Goldbach's comet

From Wikipedia, the free encyclopedia

Goldbach's comet is the prosaic name given to a plot of the function $g (n),$ the so-called Goldbach function. The Goldbach function is studied in relation to Goldbach's conjecture. The function $g (n)$ is defined for all integers $n \geq 2$ to be the number of different ways in which $2 n$ can be expressed as the sum of two primes. For example, $g (11) = 3$ since 22 can be expressed as the sum of two primes in three different ways ( $22 = 11 + 11,$ $5 + 17$ and $3 + 19$ ).