1308
This number is a composite.
The smallest integer n such that n, n+1, n+2, and n+3 have the same number of distinct prime factors: 1308 = 2^2 * 3 * 109; 1309 = 7 * 11 * 17; 1310 = 2 * 5 * 131; 1311 = 3 * 19 * 23. [Post]
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