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प्रश्न
State true or false for the following statement and justify your answer:
2 × 3 × 5 × 7 + 1 is a composite number
औचित्य
सत्य या असत्य
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उत्तर
This statement is false.
Explanation:
2 × 3 × 5 × 7 = 210, so 2 × 3 × 5 × 7 + 1 = 211.
No prime ≤ `sqrt(211)` (primes 2, 3, 5, 7, 11, 13) divides 211, so 211 is prime.
Hence, the statement is false.
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