SPOJ.com - Problem PON

PON - Prime or Not

#cryptography #prime-numbers-1 #primality-test

Given the number, you are to answer the question: "Is it prime?"

Solutions to this problem can be submitted in C, C++, Pascal, Perl, Python, Ruby, Lisp, Hask, Ocaml, Prolog, Whitespace, Brainf**k and Intercal only.

Input

t – the number of test cases, then t test cases follows. [t <= 500]
Each line contains one integer: N [2 <= N <= 2^63-1]

Output

For each test case output string "YES" if given number is prime and "NO" otherwise.

Example

Input:
5
2
3
4
5
6

Output:
YES
YES
NO
YES
NO

Submit solution!

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	mkfeuhrer: 2016-07-07 10:05:30 miller rabin accptd! prime sieve algo dint work....! yes multiplication wd mod is obvious.!
	pulkitgulati: 2016-07-03 01:25:31 miller rabin is working fine...wa with fermat.
	harshit23897: 2016-06-30 18:31:28 I am getting WA in both fermat and miller
	mostasim: 2016-05-18 17:08:33 why i'm getting runtime error with prime sieve algo :(
	ov3rk1ll: 2016-03-24 10:43:47 take care of integer overflow
	rishi_devan: 2016-03-14 13:45:52 Submitted once - Wrong Answer. Submitted same code again - Accepted in 1.69 secs It's sad that we don't have a primality test that is deterministic
	KAUSHAL AGRAWAL: 2016-02-27 13:40:23 so crazy time limit! distribute this time to other problems :P
	singh1495: 2016-02-26 13:04:56 plz tell me where my code is wrong
	pvsmpraveen: 2016-02-03 16:38:01 Done with MillerRabin Primality Test !! Done with Fermat Primality Test !! TakeCare of overflow, i first thought my algorithm is wrong , then submitted in python got AC.. Then learnt a new way handling Multiplication overflow...and got AC in CPP too!! Worth Solving!! Last edit: 2016-02-03 17:53:04
	cruisedevice: 2016-01-01 21:40:27 Why we cannot solve it by simple method?

Submit solution!

Added by:	Roman Sol
Date:	2005-01-24
Time limit:	21s
Source limit:	5000B
Memory limit:	1536MB
Cluster:	Cube (Intel G860)
Languages:	All except: ADA95 ASM32 BASH CSHARP CLPS D ERL FORTRAN ICON JAVA JS-RHINO LUA NEM NICE PHP PIKE ST
Resource:	ZCon 2005