Goldbach Partitions for Even Numbers 2^k

Paul Mackenzie

Attached is a graph of the number of goldbach partitions versus Hardy Littlewoods asymptote for even numbers of the form 2^k.

I only computed the values for 2^3 through to 2^17. It would be interesting to see what happens for larger values of k.

Correct if I am wrong, but I think the goldbach partitions of the form 2^k lie at the bottom of Goldbach comet's. So this Hardy Littlewood asympote may be a minimum bound of Goldbach partitions [though not proven].

Regards

Paul

Attached Files

power of two.pdf (40.0 KB, 15 views)