Quant Question Of The Day: 148
Numbers
For how many positive integers n each of the numbers n + 1, n + 3, n + 7, n + 9, n + 13 and n + 15 is prime?
For how many positive integers n each of the numbers n + 1, n + 3, n + 7, n + 9, n + 13 and n + 15 is prime?
All the given numbers when divided by 5 gives all possible remainders with 5 i.e. there will be always one number which is multiple of 5. So n has to be less than 5. After checking the first four positive integers, it is easy to find that only n = 4 satisfy.
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