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
2022-08-29 13:07:33
how can we solve it in python?
2022-08-13 11:18:48
what java code will use? tried all attempt getting TLE/Sigterm


Last edit: 2022-08-13 11:19:03
2022-04-12 09:46:47
If you are using java, dont use a dynamic array to store a list of primes, just create a static one of 5000000 size it will pass, I got 1.19s. using a dynamic array you will get TLE.
2022-01-21 12:09:43
use bool not int
2022-01-07 09:39:27
How did we came to know that 90000000 will work, I mean how did we find it?
2021-12-06 08:41:56
getting TLE , use bool instead of int :)
2021-09-23 19:12:26
Those who are still getting TLE using the below mentioned constraints try using fastio
2021-08-06 20:38:35
bool is_prime[90000001];
ll maxN = 90000001;
then do rest...
2021-08-01 19:38:38
n = 86028121
This is the accurate value to generate 5 million prime numbers.
2021-08-01 18:12:04
For those who are getting TLE with c++. Try using bool array instead of int array in sieve.
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