Question

Are there infinitely many integers that are not the sum of at most $7$ seventh powers of integers?

score 670 · Answer 1 · 2026-04-13 06:20:23

670

Views

Are there infinitely many integers that are not the sum of at most $7$ seventh powers of integers?

Published on 13 Apr 2026 - 6:20

score 49 · Answer 2 · 2026-04-16 01:20:58

49

Views

To show that $((a,b), b) =(a,b)$

Published on 16 Apr 2026 - 1:20

score 665 · Answer 3 · 2026-04-16 00:31:44

665

Views

If $x^2 + ax + b =0$ has an integer solution then show that it divides $b$

Published on 16 Apr 2026 - 0:31

score 85 · Answer 4 · 2026-04-14 21:19:11

85

Views

Sequences of consecutive numbers

Published on 14 Apr 2026 - 21:19

score 1.8k · Answer 5 · 2026-04-15 07:57:40

1.8k

Views

Legendre symbol of $(-2/p)$.

Published on 15 Apr 2026 - 7:57

score 118 · Answer 6 · 2026-04-13 15:53:27

118

Views

Three factor pairs summing to consecutive numbers

Published on 13 Apr 2026 - 15:53

score 240 · Answer 7 · 2026-04-15 23:59:08

240

Views

Show that if $ \ n >pq-(p+q) \ $ then $ \ px+qy=n \ $ has at least one solution in positive integers

Published on 15 Apr 2026 - 23:59

score 2.1k · Answer 8 · 2026-04-14 07:10:40

2.1k

Views

Repeating Digit Patterns in Square Roots

Published on 14 Apr 2026 - 7:10

score 62 · Answer 9 · 2026-04-16 08:27:57

62

Views

Find all rationals $q$ that make $q+\sqrt{2}$ a reduced quadratic irrational.

Published on 16 Apr 2026 - 8:27

score 80 · Answer 10 · 2026-04-15 15:22:51

80

Views

Divisibility of $n^2+9$ by $n+3$

Published on 15 Apr 2026 - 15:22

score 208 · Answer 11 · 2026-04-15 17:46:59

208

Views

Number of solutions in equation $x^2 \equiv a \mod(pq)$

Published on 15 Apr 2026 - 17:46

score 78 · Answer 12 · 2026-04-12 16:36:59

78

Views

$p$ and $10p^2+11$ are prime numbers. Find $p$

Published on 12 Apr 2026 - 16:36

score 104 · Answer 13 · 2026-04-16 04:39:50

104

Views

there exists an infinite number of values such that $3n+1 \mid 2^n-1$

Published on 16 Apr 2026 - 4:39

score 149 · Answer 14 · 2026-04-10 19:18:13

149

Views

Solving diophantine equations: Finding integer solutions

Published on 10 Apr 2026 - 19:18

score 139 · Answer 15 · 2026-04-09 08:54:56

139

Views

Does every sum-of-squares equation have a plane geometric interpretation?

Published on 09 Apr 2026 - 8:54

List Question

Are there infinitely many integers that are not the sum of at most $7$ seventh powers of integers?

To show that $((a,b), b) =(a,b)$

If $x^2 + ax + b =0$ has an integer solution then show that it divides $b$

Sequences of consecutive numbers

Legendre symbol of $(-2/p)$.

Three factor pairs summing to consecutive numbers

Show that if $ \ n >pq-(p+q) \ $ then $ \ px+qy=n \ $ has at least one solution in positive integers

Repeating Digit Patterns in Square Roots

Find all rationals $q$ that make $q+\sqrt{2}$ a reduced quadratic irrational.

Divisibility of $n^2+9$ by $n+3$

Number of solutions in equation $x^2 \equiv a \mod(pq)$

$p$ and $10p^2+11$ are prime numbers. Find $p$

there exists an infinite number of values such that $3n+1 \mid 2^n-1$

Solving diophantine equations: Finding integer solutions

Does every sum-of-squares equation have a plane geometric interpretation?

Trending Questions

Popular # Hahtags

Popular Questions