Twin Primes Quiz: Testing and Applications

  • 5th Grade
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| Questions: 20 | Updated: Dec 15, 2025
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1) Twin primes always differ by 2.

Explanation

Twin primes are pairs of prime numbers that differ by 2. Example: (3,5),(11,13). By definition, the difference is exactly 2.

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About This Quiz
Twin Primes Quiz: Testing And Applications - Quiz

Curious about those special prime pairs that sit just two units apart? This quiz takes you into the world of twin primes, how to identify them, and why they matter in number theory. You’ll test your understanding of their patterns, explore real applications, and see how often these rare pairs... see moreappear. Jump in and find out how well you can spot and work with twin primes!
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2) Which of the following is a twin prime pair?

Explanation

A)7 and 11 differ by 4→not twin. B)11,13 both prime, diff=2→twin. C)21 not prime. D)29,31 both prime, diff=2→twin.

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3) The twin prime pair that comes after (5,7) is (__,__).

Explanation

List primes:2,3,5,7,11,13,… After (5,7), next pair differing by 2 is (11,13).

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4) Which of these numbers could be the smaller number in a twin prime pair?

Explanation

3→3+2=5→both prime. 8 not prime. 17→19 both prime. 41→43 both prime.

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5) All twin prime pairs include the number 2.

Explanation

Only (2,3) includes 2 but diff=1, not 2. (3,5) is first true twin prime. Hence false.

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6) How many twin prime pairs are there between 1 and 20?

Explanation

Primes≤20:2,3,5,7,11,13,17,19→Twin pairs:(3,5),(5,7),(11,13),(17,19)=4 pairs.

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7) The largest twin prime pair less than 50 is (__,__).

Explanation

Primes

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8) If n is odd and prime, then n+2 is always prime.

Explanation

Example:7 prime,7+2=9=3×3 not prime. Hence false.

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9) Select all twin prime pairs:

Explanation

(2,3) diff=1 not twin. (3,5) yes. (7,9) no 9=3×3. (101,103) both prime diff=2 yes.

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10) What is the next twin prime pair after (17,19)?

Explanation

After (17,19), next primes 23,29,31→29+2=31→both prime→(29,31).

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11) Complete the twin prime pair:(__,73) where both are prime.

Explanation

73−2=71, check divisibility by 2,3,5,7 none divide→prime→pair(71,73).

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12) There are no twin primes greater than 100.

Explanation

Examples:(101,103),(107,109),(191,193). Twin primes exist beyond 100. False.

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13) Which number cannot be part of a twin prime pair?

Explanation

5→(3,5),(5,7). 15=3×5 not prime→cannot be in twin prime pair. 17,59 both have pairs.

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14) Which of these are twin primes?

Explanation

45 not prime, others all twin primes diff=2.

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15) The twin prime pair with the smallest sum is (__,__).

Explanation

(3,5)→sum=8 smallest among twin primes.

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16) Every even number greater than 2 can be part of a twin prime pair.

Explanation

Even numbers>2 not prime→cannot be in twin prime pair.

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17) How many numbers between 1 and 30 must you check to find all twin prime pairs?

Explanation

Twin primes>2 are odd. Odd numbers 3–29: count=(29−3)/2+1=15.

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18) The missing number in the twin prime pair (__,47) is __.

Explanation

47 prime but 45 not. No twin prime ends with 47.

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19) Which twin prime pair has a sum of 24?

Explanation

(11,13):11+13=24 others differ. (7,17) diff=10 not twin.

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20) Select all true statements about twin primes:

Explanation

Differ by 2→true. One even→false. (3,5)→smallest→true. Infinite→conjecture not proven.

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Twin primes always differ by 2.
Which of the following is a twin prime pair?
The twin prime pair that comes after (5,7) is (__,__).
Which of these numbers could be the smaller number in a twin prime...
All twin prime pairs include the number 2.
How many twin prime pairs are there between 1 and 20?
The largest twin prime pair less than 50 is (__,__).
If n is odd and prime, then n+2 is always prime.
Select all twin prime pairs:
What is the next twin prime pair after (17,19)?
Complete the twin prime pair:(__,73) where both are prime.
There are no twin primes greater than 100.
Which number cannot be part of a twin prime pair?
Which of these are twin primes?
The twin prime pair with the smallest sum is (__,__).
Every even number greater than 2 can be part of a twin prime pair.
How many numbers between 1 and 30 must you check to find all twin...
The missing number in the twin prime pair (__,47) is __.
Which twin prime pair has a sum of 24?
Select all true statements about twin primes:
Alert!

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