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Rational solutions to $a+b+c=abc=6$

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#number-theory #elementary-number-theory #diophantine-equations #elliptic-curves #symmetric-polynomials
195
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Diophantine Equation Without Using Fermat's Last Theorem

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#diophantine-equations
946
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Why does $x^2+47y^2 = z^5$ involve solvable quintics?

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#number-theory #galois-theory #diophantine-equations #radicals
4k
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Integer solutions to the equation $a^3+b^3+c^3=30$

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#number-theory #diophantine-equations #computational-mathematics
310
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Why do the Diophantine equation $\frac{x}{y}+\frac{y}{z}+\frac{z}{x}=n$ gives an elliptic curve?

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#diophantine-equations #elliptic-curves
74
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NT problem (use mod) Solve this equation

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#elementary-number-theory #modular-arithmetic #diophantine-equations
56
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How one can solves an equation of the form: $ap_{n}+bn=c$

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#number-theory #prime-numbers #diophantine-equations
234
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Homogeneous diophantine equation $x^3+2y^3+6xyz=3z^3$

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#diophantine-equations #elliptic-curves
364
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Quartic polynomial taking infinitely many square rational values?

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#number-theory #polynomials #diophantine-equations #square-numbers
615
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Proof of inequality without calculus

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#algebra-precalculus #inequality #diophantine-equations
294
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When is the difference of two consecutive positive cubes a perfect square?

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#number-theory #diophantine-equations #pell-type-equations
61
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The diophantine problem for $R[T]$ is solvable iff the diophantine problem for $R$ is solvable

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#number-theory #elementary-number-theory #diophantine-equations #computability
100
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Structure of first-coordinate-projection of set of solutions of "elliptic" diophantine equation $xy(6-(x+y))=6$

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#diophantine-equations #dynamical-systems #elliptic-curves
27
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Unique solution to $T=a_1b_1 + a_2b_2 ... a_{10}b_{10}$ for some set of $a_i$?

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#diophantine-equations #linear-diophantine-equations
148
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Solving Diophantine Equation - odd Periods

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#diophantine-equations

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