A6

Part of 2018 Malaysia National Olympiad

Problems(3)

n^4 + 2n^3 + 2n^2 + 2n + 1 is prime 2018 Malaysia OMK Intermediate A6

Source:

How many integers

n

are there such that

n^4 + 2n^3 + 2n^2 + 2n + 1

is a prime number?

number theoryprime

OMK 2018 Sulong, Section A Problem 6

Source:

Determine the smallest prime

p

2018!

is divisible by

p^{3}

, but not divisible by

p^{4}

number theorypowersprime numbers

no of products of primes less than 100 2018 Malaysia OMK Juniors A6

Source:

A semiprime is a positive integer that is a product of two prime numbers. For example,

9

10

are semiprimes. How many semiprimes less than

100

number theoryprimes