Question

Easy Number Theory modular exponentiation

score 102 · Answer 1 · 2026-04-10 10:36:24

102

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Easy Number Theory modular exponentiation

Published on 10 Apr 2026 - 10:36

score 660 · Answer 2 · 2026-04-13 08:40:06

660

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Demonstrate that these two Pell's equations have no integer solutions

Published on 13 Apr 2026 - 8:40

score 65 · Answer 3 · 2026-04-16 16:20:07

65

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Proving that the mean number of times that a vector with $n$ $0$'s and $n$ $1$'s changes value is $n$.

Published on 16 Apr 2026 - 16:20

score 127 · Answer 4 · 2026-05-15 01:53:12

127

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Confusion: Proof of Bertrand's Postulate, Primorial function upper bound

Published on 15 May 2026 - 1:53

score 209 · Answer 5 · 2026-04-17 10:45:59

209

Views

Why doesn't one see more induction on the number of primes arguments?

Published on 17 Apr 2026 - 10:45

score 639 · Answer 6 · 2026-04-14 23:59:11

639

Views

How to prove that one of $2,3,6$ is a square modulo every prime $p$?

Published on 14 Apr 2026 - 23:59

score 185 · Answer 7 · 2026-04-15 20:37:28

185

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Let $a,b,n$ be positive integers, if $n|a^n-b^n$ then $n|\frac{a^n-b^n}{a-b}$

Published on 15 Apr 2026 - 20:37

score 144 · Answer 8 · 2026-05-11 03:50:02

144

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Can these bounds in terms of the abundancy index and deficiency functions be improved for deficient-perfect numbers?

Published on 11 May 2026 - 3:50

score 194 · Answer 9 · 2026-04-13 23:55:42

194

Views

Number theory involving sum of digits of a number:

Published on 13 Apr 2026 - 23:55

score 269 · Answer 10 · 2026-04-09 02:06:46

269

Views

Divisible By 2,3,4,7

Published on 09 Apr 2026 - 2:06

score 137 · Answer 11 · 2026-05-14 01:33:56

137

Views

Easy way to prove property of prime indicator

Published on 14 May 2026 - 1:33

score 83 · Answer 12 · 2026-04-14 22:44:27

83

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Prove (15n+17,10n+11) = 1

Published on 14 Apr 2026 - 22:44

score 36 · Answer 13 · 2026-04-16 20:58:55

36

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Find all positive $d$ s.t. $d \vert_{n^2 + 1}^{(n+1)^2+1}$

Published on 16 Apr 2026 - 20:58

score 253 · Answer 14 · 2026-05-10 15:47:50

253

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Conjecture: $n>2$ is prime iff $\sum_{k=1}^{n-1}\left(3^k-2\right)^{n-1} \;\equiv\; n \cdot 2^{n-1}-1 \pmod{\frac{3^n-1}{2}}$

Published on 10 May 2026 - 15:47

score 696 · Answer 15 · 2026-04-10 14:40:54

696

Views

How do you prove that integer powers of $1.5$ are not equal to any integer powers of $2$?

Published on 10 Apr 2026 - 14:40

List Question

Easy Number Theory modular exponentiation

Demonstrate that these two Pell's equations have no integer solutions

Proving that the mean number of times that a vector with $n$ $0$'s and $n$ $1$'s changes value is $n$.

Confusion: Proof of Bertrand's Postulate, Primorial function upper bound

Why doesn't one see more induction on the number of primes arguments?

How to prove that one of $2,3,6$ is a square modulo every prime $p$?

Let $a,b,n$ be positive integers, if $n|a^n-b^n$ then $n|\frac{a^n-b^n}{a-b}$

Can these bounds in terms of the abundancy index and deficiency functions be improved for deficient-perfect numbers?

Number theory involving sum of digits of a number:

Divisible By 2,3,4,7

Easy way to prove property of prime indicator

Prove (15n+17,10n+11) = 1

Find all positive $d$ s.t. $d \vert_{n^2 + 1}^{(n+1)^2+1}$

Conjecture: $n>2$ is prime iff $\sum_{k=1}^{n-1}\left(3^k-2\right)^{n-1} \;\equiv\; n \cdot 2^{n-1}-1 \pmod{\frac{3^n-1}{2}}$

How do you prove that integer powers of $1.5$ are not equal to any integer powers of $2$?

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