PON - Prime or Not


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

hide comments
Alex Tran: 2014-06-30 03:53:46

my fermat primality implementation fails to recognize 32416187567 as prime..

Ashwini: 2014-06-28 08:13:21

@Simarpreet You will need to write a new function for multiplication too apart from powering. Just think for a moment and you will get it.

Ashwini: 2014-06-28 08:09:06

AC in one go.. I can't believe :)
My first randomised algo program..

Last edit: 2014-06-28 08:09:47
Soma: 2014-06-25 01:42:58

worth solving...
my first problem solved using probabilistic method..../
learnt a lot..

simararorarox9: 2014-06-22 04:13:54

it really works.. just one doubt, I did this program in python because.. In c++ it will get out of range when i find square using fast exponentiation method taking modulo at each step..How to avoid it. ?

Last edit: 2014-06-22 04:14:38
shashi roshan: 2014-05-26 19:01:35

fermat's test with 2 iteration is enough...dont forget to use long long / unsigned long long....test cases are weak..9223372036854775783 is prime, but my accepted solution shows it as not-prime...

excursionist: 2014-05-20 22:19:42

TLE :(
some suggestions plz
my code is @ http://ideone.com/XLcbs5

[Lakshman]: 2014-04-07 17:48:50

@Pratyush try to learn Rabin Miller.

 .::.: 2014-04-07 17:24:53

got too many WA
http://ideone.com/iepiPL

Anubhav Balodhi : 2014-03-12 09:12:57

got a tle, got too many wa.
Applying Fermat's primality test... ac 0.60 seconds, and my 95th ;-D

Last edit: 2014-03-14 04:59:22

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