SpicyP

29 Questions
7 Answers

0

539

1

+133

Show there are infinitely many primes that are equivalent to 1 (mod 8).

Show there are infinitely many primes that are equivalent to 1 (mod 8).

SpicyP Sep 14, 2020

0

767

1

+133

Cauchy-Schwarz Inequality Question

Let a, b, c, d, e, f be nonnegative real numbers.

(a) Prove that
read more ..

SpicyP Aug 27, 2020

0

494

1

+133

Perfect Squares Question

Prove that there exists a positive integer N such that there are at least 2005 ordered pairs (x, y), of non-negative integers x and y, satisfying

SpicyP Aug 22, 2020

-1

608

1

+133

Distributions Question

(a) There are n chairs in a row. Find the number of ways of choosing k of these chairs, so that no two chosen chairs are adjacent.
(b) There are 10 chairs in a circle, labelled from 1 to 10. Find the number of ways of choosing 3 of these chairs, read more ..

SpicyP Aug 21, 2020

0

1119

1

+133

Let x, a, b, c be nonnegative real numbers. Prove that

Let x, a, b, c be nonnegative real numbers. Prove that

SpicyP Aug 19, 2020

0

949

2

+133

Let n be a positive integer. Prove that there exists a positive integer m > 1000...

Let n be a positive integer. Prove that there exists a positive integer m > 1000 with the following two properties: m’s last 3 digits are 007, and m is relatively prime to n.

SpicyP Aug 17, 2020

0

641

1

+133

From the set ten numbers are chosen at random, forming a subset. Let be the largest element among the ten numbers. Find the expected value

From the set ten numbers are chosen at random, forming a subset. Let be the largest element among the ten numbers. Find the expected value of

SpicyP Aug 14, 2020

0

613

1

+133

Show that if x, y, z are integers such that x 3 + 5y 3 = 25z 3 , then x = y = z = 0.

Show that if x, y, z are integers such that x3 + 5y3 = 25z3, then x = y = z = 0.

SpicyP Aug 10, 2020

0

801

1

+133

(a) Prove that given any 5 integers, there exist three of them whose sum is divisible by 3.

(a) Prove that given any 5 integers, there exist three of them whose sum is divisible by 3.
(b) Prove that given any 17 integers, there exist nine of them whose sum is divisible by 9.

SpicyP Aug 8, 2020

+133

+1

I found that website but I didn't really understand their answer so I came here :)

SpicyPJul 31, 2020

+133

+1

What was the answer for this?

SpicyPJul 23, 2020

+133

+1

wow I really wish I thought of that !!! thanks

SpicyPJul 3, 2020

+133

+1

Thanks for responding but your answers aren't correct :(

SpicyPJun 22, 2020

+133

+1

how do you know that x = y = z?

SpicyPJun 14, 2020

+133

+1

That cubic polynomial doesn't work.

SpicyPMay 29, 2020

+133

+1

Can you elaborate please...

SpicyPMay 22, 2020