Question

Is there a better way to finish this number theory/algebra problem other than trial and error?

score 60 · Answer 1 · 2026-04-10 16:24:16

60

Views

Is there a better way to finish this number theory/algebra problem other than trial and error?

Published on 10 Apr 2026 - 16:24

score 81 · Answer 2 · 2026-04-09 21:20:08

81

Views

A diophantine equation inspired in a conjecture due to Gica and Luca

Published on 09 Apr 2026 - 21:20

score 121 · Answer 3 · 2026-04-15 05:14:25

121

Views

solve in positive integers $\frac{1}a + \frac{1}b + \frac{1}c = \frac{4}5$

Published on 15 Apr 2026 - 5:14

score 443 · Answer 4 · 2026-04-13 11:25:38

443

Views

Number of integer solutions of a multivariate polynomial

Published on 13 Apr 2026 - 11:25

score 87 · Answer 5 · 2026-04-16 05:54:25

87

Views

When is $4a^2+4b^2+4a+4b+1$ a square?

Published on 16 Apr 2026 - 5:54

score 560 · Answer 6 · 2026-04-15 03:57:30

560

Views

Show that no non-zero integers satisfy this pair of equations (from Baltic Way 2021)

Published on 15 Apr 2026 - 3:57

score 259 · Answer 7 · 2026-04-16 03:23:58

259

Views

Positive integer solutions of $ab+1=x^2, ac+1=y^2, bc+1=z^2, x+z=2y$

Published on 16 Apr 2026 - 3:23

score 99 · Answer 8 · 2026-04-11 01:51:50

99

Views

Continuing with Brahmagupta-Fibonacci identity...

Published on 11 Apr 2026 - 1:51

score 68 · Answer 9 · 2026-04-09 10:59:06

68

Views

Solutions to the diophantine equation $p^2-1 = kq^3 - kq$

Published on 09 Apr 2026 - 10:59

score 86 · Answer 10 · 2026-04-14 15:21:14

86

Views

Find all positive integer solutions verifying two conditions

Published on 14 Apr 2026 - 15:21

score 92 · Answer 11 · 2026-04-16 17:29:05

92

Views

Solve $\log_2(x+1)=⌊\log_2(x)⌋+1$ in positive integers

Published on 16 Apr 2026 - 17:29

score 111 · Answer 12 · 2026-04-09 06:16:47

111

Views

A cryptogram Diophantine $\overline{ABCDE}=4 \ \overline{AB}^2+\overline{CDE}^2$

Published on 09 Apr 2026 - 6:16

score 127 · Answer 13 · 2026-04-08 22:29:12

127

Views

Is it possible to generalize this equation more?

Published on 08 Apr 2026 - 22:29

score 145 · Answer 14 · 2026-04-15 08:38:57

145

Views

Is there a "magic" binary operation from which addition and multiplication can be derived?

Published on 15 Apr 2026 - 8:38

score 68 · Answer 15 · 2026-04-24 13:05:22

68

Views

Find all pairs $(m,n)$ such that the quotient $q$ and reminder $r$ of $\frac{m^2+n^2}{m+n}$ satisfies $q^2+r=17$

Published on 24 Apr 2026 - 13:05

List Question

Is there a better way to finish this number theory/algebra problem other than trial and error?

A diophantine equation inspired in a conjecture due to Gica and Luca

solve in positive integers $\frac{1}a + \frac{1}b + \frac{1}c = \frac{4}5$

Number of integer solutions of a multivariate polynomial

When is $4a^2+4b^2+4a+4b+1$ a square?

Show that no non-zero integers satisfy this pair of equations (from Baltic Way 2021)

Positive integer solutions of $ab+1=x^2, ac+1=y^2, bc+1=z^2, x+z=2y$

Continuing with Brahmagupta-Fibonacci identity...

Solutions to the diophantine equation $p^2-1 = kq^3 - kq$

Find all positive integer solutions verifying two conditions

Solve $\log_2(x+1)=⌊\log_2(x)⌋+1$ in positive integers

A cryptogram Diophantine $\overline{ABCDE}=4 \ \overline{AB}^2+\overline{CDE}^2$

Is it possible to generalize this equation more?

Is there a "magic" binary operation from which addition and multiplication can be derived?

Find all pairs $(m,n)$ such that the quotient $q$ and reminder $r$ of $\frac{m^2+n^2}{m+n}$ satisfies $q^2+r=17$

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