Which of the following is/are prime numbers?

(A) 241
(B) 337
(C) 391
(D) 571

Choose the correct answer from the options given below:

(D), (A) and (B) only

The correct answer is Option (4) → (D), (A) and (B) only

Step-by-Step Verification:

• (A) 241:
• $\sqrt{241} \approx 15.5$
• Checking divisibility by prime numbers 2, 3, 5, 7, 11, and 13 shows that none of them are factors.
• Result: Prime
• (B) 337:
• $\sqrt{337} \approx 18.3$
• Checking divisibility by prime numbers 2, 3, 5, 7, 11, 13, and 17 shows that none of them are factors.
• Result: Prime
• (C) 391:
• $\sqrt{391} \approx 19.7$
• Checking divisibility: $391 \div 17 = 23$.
• Since it has factors other than 1 and itself ($17 \times 23 = 391$), it is a composite number.
• Result: Not Prime
• (D) 571:
• $\sqrt{571} \approx 23.8$
• Checking divisibility by prime numbers 2 through 23 shows that none are factors.
• Result: Prime

Conclusion:

The prime numbers are (A), (B), and (D).

Correct Option: ☀ (D), (A) and (B) only