Mordell, L. J. Diophantine equations. (English) Zbl 0188.34503 Pure and Applied Mathematics, 30. London-New York: Academic Press. x, 312 p. (1969). Reviewer: G. L. Watson Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 ReviewsCited in 310 Documents MSC: 11Dxx Diophantine equations 11-02 Research exposition (monographs, survey articles) pertaining to number theory 11-03 History of number theory Keywords:Diophantine equations; reference work PDFBibTeX XML Online Encyclopedia of Integer Sequences: Positive cubefree integers n such that the Diophantine equation X^3 + Y^3 = n*Z^3 has solutions. Numbers that are both triangular and tetrahedral. Complete list of solutions to y^2 = x^3 + 17; sequence gives y values. Complete list of solutions to y^2 = x^3 + 17; sequence gives x values. Numbers n such that n^2 + 7 is a power of 2. Primes congruent to 3 (mod 16). Complete list of solutions to y^2 = x^3 + 17; sequence gives x values. Complete list of solutions to y^2 = x^3 + 17; sequence gives y values. Primes of the form x^2 + 840*y^2. Primitive solutions x of the Diophantine equation x^2 + y^3 = z^7, gcd(x,y,z) = 1. The Ramanujan-Nagell squares: A038198(n)^2. Solutions n to the Diophantine equation: n = (2*x^2 - 1)^2 = (6*y^2 - 5).