Question

Find all odd solutions for $n$ for which $3n^2+8$ is equal to a number in base $10$ which is formed by only one digit(e.g.-$222,8888888,4,99$ etc.)

score 361 · Answer 1 · 2026-04-14 21:30:06

Find all odd solutions for $n$ for which $3n^2+8$ is equal to a number in base $10$ which is formed by only one digit(e.g.-$222,8888888,4,99$ etc.)

score 151 · Answer 2 · 2026-04-15 07:02:42

151

Views

When does a sum of squares uniquely define a pair of integers?

Published on 15 Apr 2026 - 7:02

score 76 · Answer 3 · 2026-04-14 11:26:28

76

Views

When can an odd integer $d$ be represented as $d=a^2-2b^2$ with coprime integers $a,b\ $?

Published on 14 Apr 2026 - 11:26

score 408 · Answer 4 · 2026-04-13 14:53:04

408

Views

Finding the prime factorization of $2^{22}+1$?

Published on 13 Apr 2026 - 14:53

score 254 · Answer 5 · 2026-04-17 22:32:01

254

Views

Showing that $4b^2+4b = a^2+a$ has no non-zero integer solutions?

Published on 17 Apr 2026 - 22:32

score 42 · Answer 6 · 2026-04-13 19:02:27

42

Views

Elementary number theory -Divisibility

Published on 13 Apr 2026 - 19:02

score 41 · Answer 7 · 2026-04-15 12:00:47

41

Views

Elementary number theory -Divisibility 1

Published on 15 Apr 2026 - 12:00

score 94 · Answer 8 · 2026-04-11 22:26:44

94

Views

Coloring proofs and conditional statements

Published on 11 Apr 2026 - 22:26

score 99 · Answer 9 · 2026-04-16 13:06:12

99

Views

Prove by contraditcion that $a\mid b$ then $ac\mid bc$

Published on 16 Apr 2026 - 13:06

score 637 · Answer 10 · 2026-04-18 23:22:06

637

Views

Formulas for max number of intersection points on a plane, and in space

Published on 18 Apr 2026 - 23:22

score 182 · Answer 11 · 2026-04-15 14:11:17

182

Views

Prove that if $\Sigma_{i=1}^{n}(a_i)\le2^{n-4}$ then $a_2!a_3!\dots a_n!+1$ is not a power of $a_1$

Published on 15 Apr 2026 - 14:11

score 34 · Answer 12 · 2026-04-13 15:46:38

34

Views

Possible $k$ in $\frac12(3n^2+n)\equiv k\pmod5$

Published on 13 Apr 2026 - 15:46

score 125 · Answer 13 · 2026-04-11 09:52:26

125

Views

How can I determine whether a quadratic form is "almost universal"?

Published on 11 Apr 2026 - 9:52

score 93 · Answer 14 · 2026-04-09 07:31:18

93

Views

Is it possible to find such a $n\in \mathbb {Z^{+}}$, for given value of $\lambda;$ $\frac {2^{10+\lambda+n}-2^{10+\lambda}-144759}{3^{10}}<349525$

Published on 09 Apr 2026 - 7:31

score 263 · Answer 15 · 2026-04-11 20:13:12

263

Views

possible to decrypt RSA using these parameters only?

Published on 11 Apr 2026 - 20:13

List Question

Find all odd solutions for $n$ for which $3n^2+8$ is equal to a number in base $10$ which is formed by only one digit(e.g.-$222,8888888,4,99$ etc.)

When does a sum of squares uniquely define a pair of integers?

When can an odd integer $d$ be represented as $d=a^2-2b^2$ with coprime integers $a,b\ $?

Finding the prime factorization of $2^{22}+1$?

Showing that $4b^2+4b = a^2+a$ has no non-zero integer solutions?

Elementary number theory -Divisibility

Elementary number theory -Divisibility 1

Coloring proofs and conditional statements

Prove by contraditcion that $a\mid b$ then $ac\mid bc$

Formulas for max number of intersection points on a plane, and in space

Prove that if $\Sigma_{i=1}^{n}(a_i)\le2^{n-4}$ then $a_2!a_3!\dots a_n!+1$ is not a power of $a_1$

Possible $k$ in $\frac12(3n^2+n)\equiv k\pmod5$

How can I determine whether a quadratic form is "almost universal"?

Is it possible to find such a $n\in \mathbb {Z^{+}}$, for given value of $\lambda;$ $\frac {2^{10+\lambda+n}-2^{10+\lambda}-144759}{3^{10}}<349525$

possible to decrypt RSA using these parameters only?

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