Question

If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x— 7y) for the largest possible value of x, is:

score 81 · Answer 1 · 2023-02-04 07:53:30

If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x— 7y) for the largest possible value of x, is:

score 189 · Answer 2 · 2023-02-05 19:21:32

189

Views

Infinitely many primes that $\exists n, p\mid n!+1, n\nmid p-1$

Published on 05 Feb 2023 - 19:21

score 61 · Answer 3 · 2023-02-06 01:22:11

61

Views

Show that $6\mid p^4\implies 6\mid p$ is true using Euclid's Lemma

Published on 06 Feb 2023 - 1:22

score 16 · Answer 4 · 2026-03-10 08:42:07

16

Views

If $b$ is the largest square divisor of $c$ and $a^2$ also divides $c$, then $a$ divides $b$.

Published on 10 Mar 2026 - 8:42

score 179 · Answer 5 · 2023-02-08 06:05:00

179

Views

Use the principle of mathematical induction to prove $5n^3-3n^2-2n$ is divisible by $6$.

Published on 08 Feb 2023 - 6:05

score 383 · Answer 6 · 2023-02-10 16:30:41

383

Views

Divisibility in complex numbers

Published on 10 Feb 2023 - 16:30

score 193 · Answer 7 · 2023-02-17 11:31:06

193

Views

How to prove that if $a$, $b$, $c$, and $d$ are integers divisible by $ab-cd$, then $|ab - cd| = 1$

Published on 17 Feb 2023 - 11:31

score 238 · Answer 8 · 2023-02-18 08:08:12

238

Views

Does the dominant prime factor contribute about $62\%$ of the value of the logarithm of numbers?

Published on 18 Feb 2023 - 8:08

score 211 · Answer 9 · 2026-03-30 11:59:10

211

Views

Given natural $m$ and $n$, if $m^{2023}+2024m+n^2$ is divisible by $mn$, and $m>n$, then $m$ is a perfect square

Published on 30 Mar 2026 - 11:59

score 198 · Answer 10 · 2023-02-27 14:39:23

198

Views

Does the mean ratio of the bases of the largest prime factor exponents converge?

Published on 27 Feb 2023 - 14:39

score 36 · Answer 11 · 2023-02-28 01:56:06

36

Views

Divisibility Demonstrations (Propositions)

Published on 28 Feb 2023 - 1:56

score 133 · Answer 12 · 2026-03-25 12:54:48

133

Views

Show that $det(A)$ is divisible with the sum of all elements in $A$.

Published on 25 Mar 2026 - 12:54

score 82 · Answer 13 · 2023-03-01 00:59:15

82

Views

Proof Verification: $c \mid ab$ implies $c \mid a$ or $c \mid b$, for $c$ prime

Published on 01 Mar 2023 - 0:59

score 82 · Answer 14 · 2026-03-30 16:57:26

82

Views

Given a partial prime factorization of $N$ consisting of all primes $p \leq \sqrt{N}$ that divide $N$, how do I find the rest of the factorization?

Published on 30 Mar 2026 - 16:57

score 41 · Answer 15 · 2023-03-02 02:43:23

41

Views

$p$ divisibility in finite group

Published on 02 Mar 2023 - 2:43

List Question

If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x— 7y) for the largest possible value of x, is:

Infinitely many primes that $\exists n, p\mid n!+1, n\nmid p-1$

Show that $6\mid p^4\implies 6\mid p$ is true using Euclid's Lemma

If $b$ is the largest square divisor of $c$ and $a^2$ also divides $c$, then $a$ divides $b$.

Use the principle of mathematical induction to prove $5n^3-3n^2-2n$ is divisible by $6$.

Divisibility in complex numbers

How to prove that if $a$, $b$, $c$, and $d$ are integers divisible by $ab-cd$, then $|ab - cd| = 1$

Does the dominant prime factor contribute about $62\%$ of the value of the logarithm of numbers?

Given natural $m$ and $n$, if $m^{2023}+2024m+n^2$ is divisible by $mn$, and $m>n$, then $m$ is a perfect square

Does the mean ratio of the bases of the largest prime factor exponents converge?

Divisibility Demonstrations (Propositions)

Show that $det(A)$ is divisible with the sum of all elements in $A$.

Proof Verification: $c \mid ab$ implies $c \mid a$ or $c \mid b$, for $c$ prime

Given a partial prime factorization of $N$ consisting of all primes $p \leq \sqrt{N}$ that divide $N$, how do I find the rest of the factorization?

$p$ divisibility in finite group

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