Number Theory Conjectures Number Theory Conjectures: A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references. (Open Problems) http://www.math.umbc.edu/~campbell/Math413Fall98/Conjectures.html
Unsolved Problems and Rewards Unsolved Problems and Rewards: By Clark Kimberling. Offers prizes for solutions of some problems in number theory. (Open Problems) http://faculty.evansville.edu/ck6/integer/unsolved.html
L-functions and Random Matrix Theory L-functions and Random Matrix Theory: Conjectures and open problems concerning L-functions, focussing on the areas in which there has been recent progress using results from Random Matrix Theory. Maintained at AIM. (Open Problems) http://www.aimath.org/WWN/lrmt/
Seva Lev's Problem Page Seva Lev's Problem Page: A collection of research problems. (Open Problems) http://math2.haifa.ac.il/~seva/problems.html
Mathematician's Secret Room Mathematician's Secret Room: Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima. (Open Problems) http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm
Unsolved Problems and Conjectures Unsolved Problems and Conjectures: Regarding equal sums of like powers, compiled by Chen Shuwen. (Open Problems) http://member.netease.com/~chin/eslp/unsolve.htm
Open Problems Open Problems: Some questions compiled by Jon Perry. (Open Problems) http://www.users.globalnet.co.uk/~perry/maths/openproblems/openproblems.htm
Advice to Research Students Advice to Research Students: Some tips for solving problems in number theory, collected by the Cardiff University group. (Open Problems) http://www.cf.ac.uk/maths/numbertheory/problems.html