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There is only one Prime number which is even and that is 2 and prime number rule applies for only positive numbers. so

we have

2000 and u can arrange 2000 in 4! ways but digit there are 3 '0's

so the answer is 4!/3! and there 4 such numbers less than 10000 which ad upto 2.

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Q: How many prime numbers less than 10000 have digits adding to 2?
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