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Basic Library List in Number Theory (Popularity: ): Compiled by the Mathematical Association of America (MAA). This site sub-divides Number Theory into Introductory Texts, Expositions, Elementary Monographs, Primes and Factors, Algebraic Number Theory, Analytic Number Theory, Modular Forms, ...
Research papers by János A. Csirik (Popularity: ): Papers on Number Theory and Cryptology (PDF).
ArXiv Front: NT Number Theory (Popularity: ): Very large Number Theory section of the mathematics e-print arXiv.
Sphere Packing, Lattices and Groups (Popularity: ): J. H. Conway and N. J. A. Sloane (Springer, 1998). Contents, errata (including a missing page), updated tables and database.
Reciprocity Laws from Euler to Eisenstein (Popularity: ): Franz Lemmermeyer (Springer, 2000). Contents, bibliography, errata.
A Friendly Introduction to Number Theory (Popularity: ): J.H. Silverman. Contents, preface, errata, further material.
Gauss and Jacobi Sums (Popularity: ): Bruce C. Berndt, Ronald J. Evans, and Kenneth S. Williams (Wiley, 1998). Contents, errata, remarks, reviews.
Automorphic Forms and Representations (Popularity: ): Dan Bump. Errata, contents, virtual study group.
Notes on Fermat's Last Theorem (Popularity: ): Alf van der Poorten (Wiley, 1996). Contents, reviews.
An Invitation to Arithmetic Geometry (Popularity: ): Dino Lorenzini. Additions, corrections, review, preface.
Factorizations of b^n+/-1 (Popularity: ): b=2,3,5,6,7,10,11,12 Up to High Powers.By John Brillhart, D.H. Lehmer, J.L. Selfridge, Bryant Tuckerman and S.S. Wagstaff, Jr. Third edition, AMS, 2002. Complete text available for free download in PDF.
Elliptic Curves: Number Theory and Cryptography (Popularity: ): By Larry Washington (Chapman+Hall/CRC, 2003). Contents, errata.