A research analyst needs a four-digit prime number for a new encryption…

2026

A research analyst needs a four-digit prime number for a new encryption algorithm. Which of the following numbers is most suitable?

  1. A.

    2462

  2. B.

    2448

  3. C.

    2371

  4. D.

    2382

Attempted by 255 students.

Show answer & explanation

Correct answer: C

A prime number has exactly two factors: 1 and itself. The numbers 2462, 2448 and 2382 are even, so each is divisible by 2 and is not prime. For 2371, check primes up to √2371, which is less than 49; it is not divisible by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 or 47. Hence 2371 is prime. Option C is correct.

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