Lesson 12: Prime Numbers Quiz

What is a prime number?

• A number that is divisible by 1 and itself

• A number that is divisible by 2 and itself

• A number that is divisible by 3 and itself

• A number that is divisible by 4 and itself

What are the first 13 prime numbers?

• 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41

• 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

• 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43

• 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26

What is the fundamental theorem of arithmetic?

• Every counting number greater than 1 can be written as a division of primes in a unique way

• Every counting number greater than 1 can be written as a difference of primes in a unique way

• Every counting number greater than 1 can be written as a sum of primes in a unique way

• Every counting number greater than 1 can be written as a product of primes in a unique way

According to Don Zagier, what are the two facts about prime numbers?

• They exhibit stunning regularity and they obey the laws of chance

• They are the most arbitrary objects studied by mathematicians and they grow like weeds among the natural numbers

• They grow like weeds among the natural numbers and they obey the laws of chance

• They are the most arbitrary objects studied by mathematicians and they exhibit stunning regularity

What is Euclid's proof of the infinitude of primes?

• There are only finitely many primes and there are also arbitrarily large gaps between primes on the number line

• There are only finitely many primes and there are no gaps between primes on the number line

• There are infinitely many primes and there are also arbitrarily large gaps between primes on the number line

• There are infinitely many primes and there are no gaps between primes on the number line

What is the Sieve of Eratosthenes used for?

• Finding all composite numbers smaller than a given number

• Finding all even numbers smaller than a given number

• Finding all primes smaller than a given number

• Finding all odd numbers smaller than a given number

What is the largest known prime as of 24 Sept 2020?

• 2^77,232,917 + 1

• 2^77,232,917

• 2^77,232,917 - 1

• 2^77,232,917 - 2

What is the conjecture about twin primes?

• There are a fixed number of twin primes

• There are no twin primes

• There are only finitely many twin primes

• There are infinitely many twin primes

What is Goldbach's Conjecture?

• Every integer greater than 2 can be expressed as a product of two primes

• Every integer greater than 2 can be expressed as a division of two primes

• Every integer greater than 2 can be expressed as a difference of two primes

• Every integer greater than 2 can be expressed as a sum of two primes

What are some of the things mathematicians do related to prime numbers?

• Study the distribution of primes, compute large primes, search for methods to tell whether a given number is prime or not, factor large numbers into primes

• Study the distribution of composite numbers, compute large primes, search for methods to tell whether a given number is composite or not, factor large numbers into primes

• Study the distribution of composite numbers, compute large composite numbers, search for methods to tell whether a given number is composite or not, factor large numbers into composite numbers

• Study the distribution of primes, compute large composite numbers, search for methods to tell whether a given number is prime or not, factor large numbers into composite numbers