query: showing a diophantine equation has no solution
positive_passages.docid: 2027
positive_passages.text: How can I solve the folowing Diophantine equation with two unknowns?
negative_passages.docid: 69234
negative_passages.text: Solving Diophantine equation $1/x^2+1/y^2=1/z^2$
negative_passages.docid: 56803
negative_passages.text: Finding solutions to congruence equations
negative_passages.docid: 128107
negative_passages.text: find all $ a \in \mathbb N $ such that $2^a − 1 \equiv 0 \pmod 3$ and $ 4x^2 + 1 \equiv 0 \pmod {\frac{2^a -1}{3}}$ has a solution
negative_passages.docid: 94067
negative_passages.text: How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution
negative_passages.docid: 101169
negative_passages.text: Prove that $x^2 = - 1$ has no solution in $\mathbb{Z}$
negative_passages.docid: 147325
negative_passages.text: Proving that if $f(x)=x$ has no real solution then $f(f(x))=x$ has no real solution either
negative_passages.docid: 45882
negative_passages.text: Solving a congruence without Fermat's little theorem
negative_passages.docid: 47001
negative_passages.text: Cubic diophantine equation
negative_passages.docid: 135385
negative_passages.text: $0 < a_0 \leq a_1 \leq \cdots \leq a_n$, show $ p_n(z) = a_0 z^n + a_1 z^{n-1} + \cdots + a_{n-1} z + a_n = 0$ has no root in $|z| < 1$
negative_passages.docid: 87282
negative_passages.text: Diophantine equation involving prime numbers : $p^3 - q^5 = (p+q)^2$
negative_passages.docid: 24322
negative_passages.text: Prove that the equation $18x+42y=22$ has no integer solution?
negative_passages.docid: 53503
negative_passages.text: Solving the diophantine equation $y^{2}=x^{3}-2$
negative_passages.docid: 140405
negative_passages.text: Show that there does not exist any $n$ for which $a^n=a$ forall $a\in \Bbb Z_m$ where $m$ is divisible by the square of some prime.
negative_passages.docid: 106374
negative_passages.text: Show that $2x^6+12x^5+30x^4+60x^3+80x^2+30x+45=0$ has no real roots
negative_passages.docid: 57129
negative_passages.text: How to find an integer solution for general Diophantine equation $ax + by + cz + dt... = N$
negative_passages.docid: 82931
negative_passages.text: How do I solve a linear Diophantine equation with three unknowns?