Twin Primes Challenge

  • 5th Grade
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Quizzes Created: 7682 | Total Attempts: 9,547,133
| Questions: 20 | Updated: Dec 15, 2025
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1) Twin primes are always two prime numbers that differ by 2.

Explanation

By definition, twin primes are pairs of prime numbers that differ by 2. Example: (3,5) → 5−3=2; both are prime.

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About This Quiz
Twin Primes Challenge - Quiz

Think you can spot twin primes without missing a beat? This quiz takes you into the world of prime pairs that sit just two numbers apart. You’ll practice finding them, see what makes them interesting, and get a feel for how often they appear across different ranges. It’s a simple,... see morefun way to sharpen your number sense. Give it a try and see how well you do!
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2) Which of the following pairs are both prime and differ by 2?

Explanation

9=3×3 not prime. (11,13) both primes diff=2. (15,17) and (19,21) have composites. So (11,13) is correct.

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3) Select all that show twin primes correctly:

Explanation

(5,7) both primes diff=2. (13,15) and (49,51) have composites. (29,31) both primes diff=2.

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4) Every odd prime number is part of a twin prime pair.

Explanation

Example: 23 is prime but neither 21 nor 25 is prime → not part of any twin prime pair.

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5) Which of these pairs is not a twin prime pair?

Explanation

(43,47) differ by 4 → not twins. The rest differ by 2.

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6) Complete the pair: (__,61) → both numbers must be prime.

Explanation

61−2=59 → both prime → (59,61) valid twin pair.

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7) Twin primes can include an even number.

Explanation

2 is only even prime. (2,4) invalid. No twin prime includes even number.

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8) What is the sum of the twin primes (11,13)?

Explanation

11+13=24 → correct sum.

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9) The pair (101,103) are twin primes.

Explanation

Both 101 and 103 are primes, diff=2 → valid twin prime pair.

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10) The missing number in the pair (__,19) is __.

Explanation

19−17=2 → both prime → valid twin pair.

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11) The twin prime pair (5,7) has a sum smaller than (11,13).

Explanation

5+7=12

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12) Which pairs are twin primes?

Explanation

(3,5) and (71,73) both primes diff=2. Others include composites.

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13) Which number cannot appear in any twin prime pair?

Explanation

15=3×5 → composite, cannot appear in any twin prime pair.

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14) Select all true statements about twin primes:

Explanation

Differ by 2→True. Infinite→Unproven. (3,5) smallest→True. (2,3) diff=1→False.

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15) Which of these pairs lies between 90 and 110?

Explanation

(101,103) both primes → valid twin pair in that range.

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16) Choose all pairs that are not twin primes.

Explanation

(7,9) and (23,25) include non-primes. Others are valid twin primes.

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17) There are twin primes between 80 and 90.

Explanation

Primes in that range: 83,89 → diff=6, not 2 → no twin primes.

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18) The twin prime pair that comes after (11,13) is (__,__).

Explanation

After 13, next primes 17 and 19 differ by 2 → next twin pair.

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19) The smallest twin prime pair after (29,31) is (__,__).

Explanation

After 31, next primes 37,41,43→(41,43) diff=2.

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20) The twin prime pair immediately before (11,13) is (__,__).

Explanation

Twin prime sequence: (3,5),(5,7),(11,13) → previous is (5,7).

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Twin primes are always two prime numbers that differ by 2.
Which of the following pairs are both prime and differ by 2?
Select all that show twin primes correctly:
Every odd prime number is part of a twin prime pair.
Which of these pairs is not a twin prime pair?
Complete the pair: (__,61) → both numbers must be prime.
Twin primes can include an even number.
What is the sum of the twin primes (11,13)?
The pair (101,103) are twin primes.
The missing number in the pair (__,19) is __.
The twin prime pair (5,7) has a sum smaller than (11,13).
Which pairs are twin primes?
Which number cannot appear in any twin prime pair?
Select all true statements about twin primes:
Which of these pairs lies between 90 and 110?
Choose all pairs that are not twin primes.
There are twin primes between 80 and 90.
The twin prime pair that comes after (11,13) is (__,__).
The smallest twin prime pair after (29,31) is (__,__).
The twin prime pair immediately before (11,13) is (__,__).
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