%0 Journal Article
%T On the integers of the form $p^2+b^2+2^n$ and $b_1^2+b_2^2+2^{n^2}$
%A Hao Pan
%A Wei Zhang
%J Mathematics
%D 2008
%I arXiv
%X We prove that the sumset {p^2+b^2+2^n: p is prime and b,n\in N} has positive lower density. We also construct a residue class with odd modulo, which contains no integer of the form p^2+b^2+2^n. And similar results are established for the sumset {b_1^2+b_2^2+2^{n^2}: b_1,b_2,n\in N}.
%U http://arxiv.org/abs/0812.1259v4