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If n is a positive integer, what is the n th prime number ? 19 Oct 2022, 10:14
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If n is a positive integer, what is the \(n^{th}\) prime number ?

(1) \(n = 1,000,001\)
(2) \((n - 1)^{th}\) prime number is 1,5485,863


 


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If n is a positive integer, what is the n th prime number ? 20 Oct 2022, 10:08
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Bunuel
If n is a positive integer, what is the \(n^{th}\) prime number ?

(1) \(n = 1,000,001\)
(2) \((n - 1)^{th}\) prime number is 1,5485,863

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(1) \(n = 1,000,001\)
Surely, when we write down the prime numbers in increasing order, there will be some number at 1,000,001, whatever be its value.
Sufficient

(2) \((n - 1)^{th}\) prime number is 1,5485,863
Again, we are looking for next prime number to 15485863. Surely there will be one and could be found.
Sufficient


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If n is a positive integer, what is the n th prime number ? 17 Oct 2023, 00:50
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chetan2u
Bunuel
If n is a positive integer, what is the \(n^{th}\) prime number ?

(1) \(n = 1,000,001\)
(2) \((n - 1)^{th}\) prime number is 1,5485,863



(1) \(n = 1,000,001\)
Surely, when we write down the prime numbers in increasing order, there will be some number at 1,000,001, whatever be its value.
Sufficient

(2) \((n - 1)^{th}\) prime number is 1,5485,863
Again, we are looking for next prime number to 15485863. Surely there will be one and could be found.
Sufficient




D
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@chetan4u - we need not know the technique to calculate the Prime number at 1,000,001- just knowing it is possible to calculate would suffice?
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If n is a positive integer, what is the n th prime number ? 17 Oct 2023, 01:11
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Uditakaushal1992
chetan2u
Bunuel
If n is a positive integer, what is the \(n^{th}\) prime number ?

(1) \(n = 1,000,001\)
(2) \((n - 1)^{th}\) prime number is 1,5485,863



(1) \(n = 1,000,001\)
Surely, when we write down the prime numbers in increasing order, there will be some number at 1,000,001, whatever be its value.
Sufficient

(2) \((n - 1)^{th}\) prime number is 1,5485,863
Again, we are looking for next prime number to 15485863. Surely there will be one and could be found.
Sufficient




D

@chetan4u - we need not know the technique to calculate the Prime number at 1,000,001- just knowing it is possible to calculate would suffice?
Show more

Yes, in DS, you don’t require to know the exact answer but knowing that the answer can be found by the given information is enough.

For example
What is 200th number in a sequence?
1) The first two numbers in the sequence are 1,2
Not sufficient. The sequence could be 1,2,3,4 or \(1,2,2^2,2^3\)
So you could have any answer for the 200th number.

Had the above statement been
1) The sequence is an Arithmetic Progression with first two number as 1,2
Now you know the sequence is 1,2,3,4…
We need not know the 200th number, but surely when we keep writing 1,2,3,4……., we will look get the 200th number. Here it may be easy to guess 200th number but irrespective don’t start solving for the answer
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