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Prime Time Trivia Quiz

How well do you know your prime numbers? Here are ten (not a prime number) questions to test your knowledge.

A multiple-choice quiz by reedy. Estimated time: 4 mins.

Author
reedy

Time
4 mins

Type
Multiple Choice

Quiz #
354,144

Updated
Dec 03 21

# Qns
10

Difficulty
Average

Avg Score
7 / 10

Plays
586

One at a Time - Single Page - Timed Game

Question 1 of 10

1. Just to check your understanding... a prime number is a natural number greater than 1 that can only be divided by 1 and itself, without a remainder.

True

False

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Question 2 of 10

2. What is the smallest prime number?

Answer: (One Word (a number))

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Question 3 of 10

3. Numbers with two or more digits MUST end with a 1, 3, 7, or 9 in order to possibly be a prime number; any other last digit will make it a composite number.

True

False

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Question 4 of 10

4. Take a moment to think it through, then tell me how many prime numbers there are between 1 and 100. Hint

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Question 5 of 10

5. What are 'twin primes'? Hint

Consecutive prime numbers that differ by '2' (17,19)

Prime numbers that have the same numbers when 'inverted' (13,31)

Numbers that have 80% of their prime factors in common

Also called 'prime-primes' - prime numbers that sequentially are also made of primes (7393 - 739 - 73 - 7)

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Question 6 of 10

6. Given A=1, B=2, C=3, et cetera ... Is the word PRIME (P+R+I+M+E) a prime number?

Yes

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Question 7 of 10

7. Which of these palindromic prime numbers is ALSO a palindrome when converted into binary? Hint

929

757

313

191

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Question 8 of 10

8. 31
331
3331
33331
333331
3333331
33333331

Are all of these prime numbers?

Yes

9. Keeping in mind the definition of a prime number, which of these primes has all prime digits AND forms primes with its first two and last two digits?

Example: Consider the prime number 'xyz': x, y, z, xy, yz are all also prime numbers. Hint

523

479

131

373

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Question 10 of 10

10. Prime numbers are an infinite sequence, but there is a continual search (called the GIMPS for short) to find the largest prime number that is one less than a power of 2. The smallest example of this is the number 3 (2 to the power of 2 [4] minus one). The 47th such number, a prime with 12,978,189 digits, was discovered in 2008. After which 17th-century monk and mathematician is this number named? Hint

Marin Mersenne

Pierre Bardin

Denis Henrion

Thomas Fincke

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Quiz Answer Key and Fun Facts

1. Just to check your understanding... a prime number is a natural number greater than 1 that can only be divided by 1 and itself, without a remainder.

Answer: True

Apart from prime numbers as defined in the question, all remaining numbers (excepting zero and one) are considered to be composite numbers.

2. What is the smallest prime number?

Answer: 2

Two is the only even prime number. After two, of course, any other even number can be divided by two, thus making them composite numbers.

3. Numbers with two or more digits MUST end with a 1, 3, 7, or 9 in order to possibly be a prime number; any other last digit will make it a composite number.

Answer: True

Just as an even number is divisible by two, so is any number that ends in 5 divisible by five. Thus, every prime number with two or more digits MUST end in either 1, 3, 7, or 9.

4. Take a moment to think it through, then tell me how many prime numbers there are between 1 and 100.

Answer: 25

For easier viewing, here they are in groups of five:

2,3,5,7,11
13,17,19,23,29
31,37,41,43,47
53,59,61,67,71
73,79,83,89,97

5. What are 'twin primes'?

Answer: Consecutive prime numbers that differ by '2' (17,19)

The first few sets of twin primes are (3,5),(5,7),(11,13),(17,19). Just as primes are an infinite series, it is also postulated that twin primes can also be expressed in an infinite series.

6. Given A=1, B=2, C=3, et cetera ... Is the word PRIME (P+R+I+M+E) a prime number?

Answer: Yes

P=16, R=18, I=9, M=13, E=5 ... 16 + 18 + 9 + 13 + 5 = 61 = a prime number!

7. Which of these palindromic prime numbers is ALSO a palindrome when converted into binary?

Answer: 313

The number 313, when converted into binary, is 100111001. It happens to be the ONLY three-digit prime number that has this property.

In binary, the other number options were:

191 - 10111111
757 - 1011110101
929 - 1110100001

8. 31 331 3331 33331 333331 3333331 33333331 Are all of these prime numbers?

Answer: Yes

The next number in the sequence, 333333331, is divisible by 17 and 19607843. And yes, 19607843 IS a prime number.

9. Keeping in mind the definition of a prime number, which of these primes has all prime digits AND forms primes with its first two and last two digits? Example: Consider the prime number 'xyz': x, y, z, xy, yz are all also prime numbers.

Answer: 373

The prime 373 is, in fact, the only three-digit prime that meets the requirements of this puzzle.

131 - the number 1 does not fall within the definition of a prime number, thus even though 3, 13 and 31 are primes, the 1 on its own doesn't count.

479 - the numbers 7, 47 and 79 are primes, but the numbers 4 and 9, of course, are not primes.

523 - each individual digit is a prime, as is 23, but 52 is not.

Answer: Marin Mersenne

GIMPS stands for the 'Great Internet Mersenne Prime Search' and is a continuing project (since 1997) to find bigger Mersenne Primes. Cash prizes in the hundreds of thousands have been received. Perhaps you will be the one to find the next Mersenne Prime!

Source: Author reedy

This quiz was reviewed by FunTrivia editor CellarDoor before going online.
Any errors found in FunTrivia content are routinely corrected through our feedback system.

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