Question

$a_{n+3}=5^n \cdot a_{n+2}+n^2 \cdot a_{n+1}+11 a_n$. Show that infinitely many $a_n$ are divisible by $2023$

score 178 · Answer 1 · 2023-11-10 03:56:56

178

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$a_{n+3}=5^n \cdot a_{n+2}+n^2 \cdot a_{n+1}+11 a_n$. Show that infinitely many $a_n$ are divisible by $2023$

Published on 10 Nov 2023 - 3:56

score 24 · Answer 2 · 2023-11-13 04:05:11

24

Views

Proof of existence in division with remainder

Published on 13 Nov 2023 - 4:05

score 40 · Answer 3 · 2026-04-06 11:16:32

40

Views

Can relative (or even absolute) quotient size be calculated from a list of polynomials which are multiples of a given variable?

Published on 06 Apr 2026 - 11:16

score 44 · Answer 4 · 2023-11-19 15:59:10

44

Views

When is (a+b+c)(1/a+1/b+1/c) integer

Published on 19 Nov 2023 - 15:59

score 44 · Answer 5 · 2023-11-19 17:23:39

44

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Commutative ring with an element divisible by all powers of $a$ but with no corresponding infinite sequence

Published on 19 Nov 2023 - 17:23

score 132 · Answer 6 · 2023-11-21 02:15:38

132

Views

positive integers property

Published on 21 Nov 2023 - 2:15

score 123 · Answer 7 · 2023-11-21 18:44:19

123

Views

How many 6-digit numbers of the form xyzzyx (where y is a prime number) are possible which are divisible by 7?

Published on 21 Nov 2023 - 18:44

score 138 · Answer 8 · 2026-04-08 04:14:36

138

Views

How to logically interpret the division of small number by large number on a number line?

Published on 08 Apr 2026 - 4:14

score 159 · Answer 9 · 2026-03-30 15:29:25

159

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BMO1 number theory question on fibonacci sequence and divisibility

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score 133 · Answer 10 · 2023-11-27 16:10:05

133

Views

Prove The Divisibility rule of 19

Published on 27 Nov 2023 - 16:10

score 177 · Answer 11 · 2023-11-29 20:53:18

177

Views

How many 7-digit numbers with distinct digits can be made that are divisible by 3?

Published on 29 Nov 2023 - 20:53

score 66 · Answer 12 · 2026-04-01 16:00:11

66

Views

How to logically represent a smaller number being divided by a large number on a number line?

Published on 01 Apr 2026 - 16:00

score 56 · Answer 13 · 2023-12-01 05:07:10

56

Views

$(a^m+b^m)\mid(a^n+b^n) \iff m\mid n$

Published on 01 Dec 2023 - 5:07

score 121 · Answer 14 · 2026-04-06 12:53:37

121

Views

Approaching a Divisibility Question

Published on 06 Apr 2026 - 12:53

score 82 · Answer 15 · 2023-12-02 17:42:13

82

Views

How to prove the division algorithm algorithmically?

Published on 02 Dec 2023 - 17:42

List Question

$a_{n+3}=5^n \cdot a_{n+2}+n^2 \cdot a_{n+1}+11 a_n$. Show that infinitely many $a_n$ are divisible by $2023$

Proof of existence in division with remainder

Can relative (or even absolute) quotient size be calculated from a list of polynomials which are multiples of a given variable?

When is (a+b+c)(1/a+1/b+1/c) integer

Commutative ring with an element divisible by all powers of $a$ but with no corresponding infinite sequence

positive integers property

How many 6-digit numbers of the form xyzzyx (where y is a prime number) are possible which are divisible by 7?

How to logically interpret the division of small number by large number on a number line?

BMO1 number theory question on fibonacci sequence and divisibility

Prove The Divisibility rule of 19

How many 7-digit numbers with distinct digits can be made that are divisible by 3?

How to logically represent a smaller number being divided by a large number on a number line?

$(a^m+b^m)\mid(a^n+b^n) \iff m\mid n$

Approaching a Divisibility Question

How to prove the division algorithm algorithmically?

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