Gronau's Conjecture
Hi!
Exists a proof, that for every prime p > X with p = 8n + 3 :
p = a^2 + b^2 + c^2 ? And what is X?
Thanks a lot!
Daniel Gronau
1) Consider any m=8n+3, not necessarily prime, p
2) Consider a, b, c odd only
3) Consider differences of successive odd squares.
1^2+1^2+1^2 = 3
3^2+1^2+1^2 = 11
3^2+3^2+1^2 = 19
5^2+1^2+1^2 = 27 ... etc.
3^2-1^2 = 8
5^2-3^2 = 16
7^2-5^2 = 24
9^2-7^2 = 32 ... etc.