For whatever reason, I practiced the piano three times yesterday. I’m annoyed by my inability to play the Grieg Piano Concerto. I suppose it’s probably quite difficult, but I don’t consider that an excuse. I suppose I’ll learn it eventually. I just keep forgetting how difficult it is to learn new pieces on the piano.
It occurred to me yesterday that to prove the Twin Prime Conjecture it is only necessary to prove that Brun’s Constant is irrational. That’s really obvious, but for some reason, I never thought of it before. I don’t imagine that it’s easy though — I don’t think Brun’s Constant converges quickly enough by partial sums to use Liouville-Roth irrationality measure easily. Since we only know about 9 digits of Brun’s Constant, I don’t think this method will be usable.
Does anyone know of any good books on algebraic number theory? The time has come to learn some.
The world is so boring. Only classes are enjoyable. My outlook on life seems to be returning to its state five years ago, when I couldn’t stand school breaks because I would learn less. I’m glad that it’s returning.