The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is:
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A container has 40 liters of milk. 4 liters are removed and replaced with 4 liters of water. This process is repeated. The smallest number of times required for milk to be less than water is:
Let both series \( a_1, a_2, a_3, \ldots \) and \( b_1, b_2, b_3, \ldots \) be in arithmetic progression with common differences as prime numbers. If a5=b9, a19=b19 and b2=0, , then a11 equals, find \( a_{19} \):
Let \( a_n = 13 + 6(n - 1) \) and \( b_n = 15 + 7(n - 1) \). Find the largest three-digit integer common to both sequences: