TDKPRIME - Finding the Kth Prime

The problem statement is really simple. There are some queries. You are to give the answers.

Input

An integer stating the number of queries Q (equal to 50000), and Q lines follow, each containing one integer K between 1 and 5000000 inclusive.

Output

Q lines with the answer of each query: the Kth prime number.

Example

Input:
7
1
10
100
1000
10000
100000
1000000

Output:
2
29
541
7919
104729
1299709
15485863

Added by:Alfonso² Peterssen
Date:2010-04-06
Time limit:1.240s
Source limit:10000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM32 ASM64 BF CLPS LISP sbcl LISP clisp ERL HASK ICON ICK JS-RHINO LUA NEM NICE OBJC OCAML PHP PIKE PRLG-swi SCALA SCM guile SCM qobi ST SQLITE TCL WHITESPACE
Resource:Thanks to TDuke

hide comments
2018-01-14 07:29:58
@ayushgupta1997 how you got the max value
2017-12-09 11:53:04
Simple Problem ,attempted after 1 year AC in one go :)
Hint : Sieve precomputation, declare array global with MAX=87000008
2017-10-06 00:01:57 Sushant Moon
Is there some problem with the test cases, i checked/compared/double-checked the prime numbers generated by my sieve for first 5million primes, with 5million primes from https://primes.utm.edu/lists/small/millions/, they check out all of them are correct. But the test cases is giving me WA.

My submission ID is 20301637

Last edit: 2017-10-06 00:48:58
2017-08-28 13:20:24
took 0.6 s...how to improve upon time
2017-01-25 05:28:13
Use Segmented Sieve...Took only 3.4MB space
But how to make it time efficient..It took 0.67 sec


Last edit: 2017-01-25 05:28:55
2017-01-15 19:01:58
how can the top solution be 3.4M and 0.04 sec!!!!
2016-12-22 23:04:16
also , how is the memory use just 3.6 MB for best AC solution as per time limit.. sieve+an array till required takes 22MB in my case
2016-12-22 23:02:54
how are people getting 0.04 seconds while my nloglogn sieve of eratosthenes, several loop counter modifications alongwith scanf and printf got 0.56?
2016-07-08 11:44:04
do it just for bitwise seive.
cool problem
bitwise seive - > 0.45 sec
linear seive -> 0.75 sec

Last edit: 2016-07-08 11:59:28
2016-06-15 20:07:19
@Alfonso2 Peterssen Last submitted solution is working perfectly on my machine. Can you please tell me why am I getting WA?

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