Question

Use theory of congruence to prove.....

score 159 · Answer 1 · 2018-06-21 06:16:03

159

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Use theory of congruence to prove.....

Published on 21 Jun 2018 - 6:16

score 111 · Answer 2 · 2026-03-25 12:50:11

111

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given some positive integers, prove that there's an infinite AP that contains exactly 3 or 4 of the given integers

Published on 25 Mar 2026 - 12:50

score 41 · Answer 3 · 2018-06-22 08:22:59

41

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Find the number of such triples $(a,b,c)$ with $50 \ge |a| \ge |b| \ge |c| \ge 1$

Published on 22 Jun 2018 - 8:22

score 177 · Answer 4 · 2026-03-25 22:26:36

177

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Use theory of congruence to establish divisibility

Published on 25 Mar 2026 - 22:26

score 7.6k · Answer 5 · 2026-03-25 22:30:50

7.6k

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Prove by induction that $n^4-4n^2$ is divisible by 3 for all integers $n\geq1$.

Published on 25 Mar 2026 - 22:30

score 241 · Answer 6 · 2018-06-23 13:27:09

241

Views

Reference for the Construction of the integers.

Published on 23 Jun 2018 - 13:27

score 166 · Answer 7 · 2018-06-26 06:34:19

166

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Does $(x+y)^m=x^m+y^m+z^m$ imply $(x+y+z)^m=(x+z)^m+(y+z)^m$?

Published on 26 Jun 2018 - 6:34

score 94 · Answer 8 · 2018-06-27 10:12:25

94

Views

Prove that $\varphi(mn)= \varphi(m,n) \cdot \varphi[m,n]$

Published on 27 Jun 2018 - 10:12

score 909 · Answer 9 · 2018-06-27 12:22:25

909

Views

Using integer arithmetic, is $ ( x \div y )\div z = (x\div z)\div y = x \div (y \times z) $

Published on 27 Jun 2018 - 12:22

score 55 · Answer 10 · 2018-06-27 14:51:22

55

Views

Prove that $n\varphi(m)=m \varphi(n)$

Published on 27 Jun 2018 - 14:51

score 78 · Answer 11 · 2018-06-27 16:20:52

78

Views

Form of a integer of 9th power

Published on 27 Jun 2018 - 16:20

score 30 · Answer 12 · 2018-06-27 17:40:26

30

Views

Integer solutions on summation of primes powers

Published on 27 Jun 2018 - 17:40

score 94 · Answer 13 · 2026-03-25 03:02:41

94

Views

Is finding proof of convergence of a function towards a cycle or a constant any different?

Published on 25 Mar 2026 - 3:02

score 43 · Answer 14 · 2018-06-27 22:41:50

43

Views

Finding all integer linear combinations subject to a constant contraint

Published on 27 Jun 2018 - 22:41

score 879 · Answer 15 · 2018-06-28 04:20:05

879

Views

Remainder when $333^{333}$ is divided by $7$

Published on 28 Jun 2018 - 4:20

List Question

Use theory of congruence to prove.....

given some positive integers, prove that there's an infinite AP that contains exactly 3 or 4 of the given integers

Find the number of such triples $(a,b,c)$ with $50 \ge |a| \ge |b| \ge |c| \ge 1$

Use theory of congruence to establish divisibility

Prove by induction that $n^4-4n^2$ is divisible by 3 for all integers $n\geq1$.

Reference for the Construction of the integers.

Does $(x+y)^m=x^m+y^m+z^m$ imply $(x+y+z)^m=(x+z)^m+(y+z)^m$?

Prove that $\varphi(mn)= \varphi(m,n) \cdot \varphi[m,n]$

Using integer arithmetic, is $ ( x \div y )\div z = (x\div z)\div y = x \div (y \times z) $

Prove that $n\varphi(m)=m \varphi(n)$

Form of a integer of 9th power

Integer solutions on summation of primes powers

Is finding proof of convergence of a function towards a cycle or a constant any different?

Finding all integer linear combinations subject to a constant contraint

Remainder when $333^{333}$ is divided by $7$

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