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[AZ18] Martin Aigner and G¨unter M. Ziegler, Proofs from The Book, sixth ed., Springer, Berlin, 2018. [Bak84] Alan Baker, Aconciseintroductiontothetheoryofnumbers,CambridgeUniversityPress, Cambridge, 1984. MR781734 [BB09] Arthur T. Benjamin and Ezra Brown (eds.), Biscuits of number theory,TheDolcianiMath- ematical Expositions, vol. 34, Mathematical Association of America, Washington, DC, 2009. MR2516529 [Cas78] J. W. S. Cassels, Rational quadratic forms,LondonMathematicalSocietyMonographs, vol. 13, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1978. MR522835 [CG96] John H. Conway and Richard K. Guy, The book of numbers,Copernicus,NewYork,1996. MR1411676 [Cox13] David A. Cox, Primes of the form x2 + ny2, second ed., Pure and Applied Mathematics (Hoboken), John Wiley & Sons, Inc., Hoboken, NJ, 2013. MR3236783 [CP05] Richard Crandall and Carl Pomerance, Prime numbers: A computational perspective,second ed., Springer, New York, 2005. MR2156291 [Dav80] Harold M. Davenport, Multiplicative number theory,Springer-Verlag,NewYork,1980. [Dav05] H. Davenport, Analytic methods for Diophantine equations and Diophantine inequalities, second ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 2005. [DF04] David S. Dummit and Richard M. Foote, Abstract algebra, third ed., John Wiley & Sons, Inc., Hoboken, NJ, 2004. MR2286236 [Edw01] H. M. Edwards, Riemann’s zeta function,DoverPublications,Inc.,Mineola,NY,2001. MR1854455 [GG] Andrew Granville and Ben Green, Additive combinatorics,AmericanMathematicalSociety (to appear). [Graa] Andrew Granville, The distribution of primes: Analytic number theory revealed,American Mathematical Society (to appear). [Grab] Andrew Granville, Rational points on curves: Arithmetic geometry revealed,AmericanMath- ematical Society (to appear). [GS] Andrew Granville and K. Soundararajan, The pretentious approach to analytic number the- ory,CambridgeUniversityPress(toappear). [Guy04] Richard K. Guy, Unsolved problems in number theory,thirded.,ProblemBooksinMathe- matics, Springer-Verlag, New York, 2004. MR2076335 [HW08] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers,sixthed.,revisedby D. R. Heath-Brown and J. H. Silverman, Oxford University Press, Oxford, 2008. MR2445243 [IR90] Kenneth Ireland and Michael Rosen, Aclassicalintroductiontomodernnumbertheory, second ed., Graduate Texts in Mathematics, vol. 84, Springer-Verlag, New York, 1990. MR1070716

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[Knu98] Donald E. Knuth, The art of computer programming. Vol. 2, Seminumerical algorithms, third edition [of MR0286318], Addison-Wesley, Reading, MA, 1998. MR3077153 [LeV96] William J. LeVeque, Fundamentals of number theory,reprintofthe1977original,Dover Publications, Inc., Mineola, NY, 1996. MR1382656 [NZM91] Ivan Niven, Herbert S. Zuckerman, and Hugh L. Montgomery, An introduction to the theory of numbers, fifth ed., John Wiley & Sons, Inc., New York, 1991. MR1083765 [Rib91] Paulo Ribenboim, The little book of big primes, Springer-Verlag, New York, 1991. MR1118843 [Sha85] Daniel Shanks, Solved and unsolved problems in number theory,thirded.,ChelseaPublishing Co., New York, 1985. MR798284 [ST15] Joseph H. Silverman and John T. Tate, Rational points on elliptic curves,seconded.,Un- dergraduate Texts in Mathematics, Springer, Cham, 2015. MR3363545 [Ste09] William Stein, Elementary number theory: Primes, congruences, and secrets. A computa- tional approach,UndergraduateTextsinMathematics,Springer,NewYork,2009.MR2464052 [Tig16] Jean-Pierre Tignol, Galois’ theory of algebraic equations, second ed., World Scientific Pub- lishing Co. Pte. Ltd., Hackensack, NJ, 2016. MR3444922 [TMF00] G´erald Tenenbaum and Michel Mend`es France, The prime numbers and their distribution, translated from the 1997 French original by Philip G. Spain, Student Mathematical Library, vol. 6, American Mathematical Society, Providence, RI, 2000. MR1756233 [VE87] Charles Vanden Eynden, Elementary number theory,TheRandomHouse/Birkh¨auserMath- ematics Series, Random House, Inc., New York, 1987. MR943119 [Wat14] John J. Watkins, Number theory: A historical approach,PrincetonUniversityPress,Prince- ton, NJ, 2014. MR3237512 [Zei17] Paul Zeitz, The art and craft of problem solving, third edition [of MR1674658], John Wiley &Sons,Inc.,Hoboken,NJ,2017.MR3617426