Question

What are the possible solutions for the diophantine equation $4x^2-3y^2=1$ and is there a general formula?

score 143 · Answer 1 · 2019-05-24 16:19:08

143

Views

What are the possible solutions for the diophantine equation $4x^2-3y^2=1$ and is there a general formula?

Published on 24 May 2019 - 16:19

score 163 · Answer 2 · 2019-05-25 00:41:59

163

Views

Find $\int \frac{1}{\sqrt{-x^2-6x+40}}dx$ using completing the square?

Published on 25 May 2019 - 0:41

score 194 · Answer 3 · 2019-05-30 03:20:00

194

Views

Square valued integer polynomial

Published on 30 May 2019 - 3:20

score 104 · Answer 4 · 2019-06-05 12:47:22

104

Views

When Does There Exist an Integer $n$ So $a_1 + n, a_2 + n, ...,a_9 + n$ Are All Perfect Squares for $9$ Distinct Natural Numbers?

Published on 05 Jun 2019 - 12:47

score 74 · Answer 5 · 2019-06-07 14:18:28

74

Views

When can an even number be written as the difference between two squares?

Published on 07 Jun 2019 - 14:18

score 129 · Answer 6 · 2026-03-25 13:58:00

129

Views

Diophantine $\frac{a^2 + b^2}{ab + 1} = \frac{c^2}{d^2} $

Published on 25 Mar 2026 - 13:58

score 101 · Answer 7 · 2019-06-11 19:12:48

101

Views

Square Root of the Square of a Negative Number

Published on 11 Jun 2019 - 19:12

score 95 · Answer 8 · 2019-06-19 01:01:10

95

Views

Pell's equation solution set

Published on 19 Jun 2019 - 1:01

score 507 · Answer 9 · 2026-03-25 09:24:23

507

Views

Perfect Squares in Fibonacci Numbers

Published on 25 Mar 2026 - 9:24

score 38 · Answer 10 · 2019-06-26 21:58:09

38

Views

Number of N-digit perfect squares and all its members

Published on 26 Jun 2019 - 21:58

score 66 · Answer 11 · 2019-06-27 08:54:02

66

Views

Given that a is an integer, find possible $a$'s so that $2^{2a+1}+2^a+1$ is a perfect square

Published on 27 Jun 2019 - 8:54

score 456 · Answer 12 · 2019-06-29 23:26:51

456

Views

Squares in different bases

Published on 29 Jun 2019 - 23:26

score 50 · Answer 13 · 2019-07-01 21:11:06

50

Views

Simple, algebraic issues.

Published on 01 Jul 2019 - 21:11

score 165 · Answer 14 · 2019-07-02 23:07:03

165

Views

Parametric solution of $ \alpha x^2 +\beta y^2 = \gamma w^2+\delta z^2$ quadratic Diophantine equation

Published on 02 Jul 2019 - 23:07

score 118 · Answer 15 · 2026-03-25 15:42:33

118

Views

If $q$ is prime, can $\sigma(q^{k-1})$ and $\sigma(q^k)/2$ be both squares when $q \equiv 1 \pmod 4$ and $k \equiv 1 \pmod 4$?

Published on 25 Mar 2026 - 15:42

List Question

What are the possible solutions for the diophantine equation $4x^2-3y^2=1$ and is there a general formula?

Find $\int \frac{1}{\sqrt{-x^2-6x+40}}dx$ using completing the square?

Square valued integer polynomial

When Does There Exist an Integer $n$ So $a_1 + n, a_2 + n, ...,a_9 + n$ Are All Perfect Squares for $9$ Distinct Natural Numbers?

When can an even number be written as the difference between two squares?

Diophantine $\frac{a^2 + b^2}{ab + 1} = \frac{c^2}{d^2} $

Square Root of the Square of a Negative Number

Pell's equation solution set

Perfect Squares in Fibonacci Numbers

Number of N-digit perfect squares and all its members

Given that a is an integer, find possible $a$'s so that $2^{2a+1}+2^a+1$ is a perfect square

Squares in different bases

Simple, algebraic issues.

Parametric solution of $ \alpha x^2 +\beta y^2 = \gamma w^2+\delta z^2$ quadratic Diophantine equation

If $q$ is prime, can $\sigma(q^{k-1})$ and $\sigma(q^k)/2$ be both squares when $q \equiv 1 \pmod 4$ and $k \equiv 1 \pmod 4$?

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