Question

If $\gcd(a,b)=1$ then $\gcd(a^2-b^2,a^2+b^2)=1$

score 110 · Answer 1 · 2026-04-15 17:59:34

110

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If $\gcd(a,b)=1$ then $\gcd(a^2-b^2,a^2+b^2)=1$

Published on 15 Apr 2026 - 17:59

score 1.8k · Answer 2 · 2026-04-16 10:39:43

1.8k

Views

Special properties of the number $146$

Published on 16 Apr 2026 - 10:39

score 119 · Answer 3 · 2026-04-13 20:15:48

119

Views

Is there an intuitive way to tell if some integers are relatively prime?

Published on 13 Apr 2026 - 20:15

score 737 · Answer 4 · 2026-04-11 11:29:44

737

Views

Useful to map an infinite set onto a finite space?

Published on 11 Apr 2026 - 11:29

score 75 · Answer 5 · 2026-04-13 03:11:50

75

Views

Proof for a Euler Totient Lemma

Published on 13 Apr 2026 - 3:11

score 998 · Answer 6 · 2026-04-15 06:03:53

998

Views

On the last digit of a power

Published on 15 Apr 2026 - 6:03

score 50 · Answer 7 · 2026-04-15 19:15:21

50

Views

Coprime proof for the floor of the ratio of the nth prime and n

Published on 15 Apr 2026 - 19:15

score 884 · Answer 8 · 2026-04-10 12:35:53

884

Views

Efficient pairing functions

Published on 10 Apr 2026 - 12:35

score 343 · Answer 9 · 2026-04-13 21:01:12

343

Views

Fermat's Little Theorem: $r \equiv s \pmod {p-1} \implies a^r \equiv a^s \pmod p$

Published on 13 Apr 2026 - 21:01

score 97 · Answer 10 · 2026-04-15 06:40:45

97

Views

Prove that there do not exist distinct integers $a,b,c$ and polynomial $P$, with integer coefficients, such that $P(a)=b, P(b)=c, P(c)=a$.

Published on 15 Apr 2026 - 6:40

score 83 · Answer 11 · 2026-04-16 04:36:02

83

Views

Inequalities for $\operatorname{rad}(n\text{th pentagonal number})$ and the diagonal of the regular pentagon that represents this polygonal number

Published on 16 Apr 2026 - 4:36

score 356 · Answer 12 · 2026-04-22 23:30:31

356

Views

$\phi(n)^{\sigma(n)^{\tau(n)}}=n^2$ find all natural numbers $n$ such that the equality is true

Published on 22 Apr 2026 - 23:30

score 93 · Answer 13 · 2026-04-17 14:02:52

93

Views

$\sum_{t=1}^{p-1} (t(1-t))^{\frac{p-1}{4}}$

Published on 17 Apr 2026 - 14:02

score 196 · Answer 14 · 2026-04-11 23:52:01

196

Views

Understanding an induction concept to prove: If $n$ is a natural number greater than $1$, then $n-1$ is a natural number

Published on 11 Apr 2026 - 23:52

score 69 · Answer 15 · 2026-04-17 01:01:57

69

Views

If $4|n(n-1)$ then $4|n$ or $4|(n-1)$

Published on 17 Apr 2026 - 1:01

List Question

If $\gcd(a,b)=1$ then $\gcd(a^2-b^2,a^2+b^2)=1$

Special properties of the number $146$

Is there an intuitive way to tell if some integers are relatively prime?

Useful to map an infinite set onto a finite space?

Proof for a Euler Totient Lemma

On the last digit of a power

Coprime proof for the floor of the ratio of the nth prime and n

Efficient pairing functions

Fermat's Little Theorem: $r \equiv s \pmod {p-1} \implies a^r \equiv a^s \pmod p$

Prove that there do not exist distinct integers $a,b,c$ and polynomial $P$, with integer coefficients, such that $P(a)=b, P(b)=c, P(c)=a$.

Inequalities for $\operatorname{rad}(n\text{th pentagonal number})$ and the diagonal of the regular pentagon that represents this polygonal number

$\phi(n)^{\sigma(n)^{\tau(n)}}=n^2$ find all natural numbers $n$ such that the equality is true

$\sum_{t=1}^{p-1} (t(1-t))^{\frac{p-1}{4}}$

Understanding an induction concept to prove: If $n$ is a natural number greater than $1$, then $n-1$ is a natural number

If $4|n(n-1)$ then $4|n$ or $4|(n-1)$

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