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Off the top of my head, 1001 is the answer. Check it out and see . . . _________ 1001 is not prime. 7 X 143 equals 1001. There is 11, which is prime and which has 2 digits.
1001
1001 is not prime. 1001 = 7 * 11 * 131001 is equal to 7 x 11 x 13, so it is composite.
After 1001 comes 1002. In the decimal number system, each number is followed by the next consecutive number, which increases by 1. So, after 1001, the next number in the sequence is 1002.
The proper shipping name for UN number 1001 is Acetylene, dissolved.