AMR11E - Distinct Primes

Arithmancy is Draco Malfoy's favorite subject, but what spoils it for him is that Hermione Granger is in his class, and she is better than him at it. Prime numbers are of mystical importance in Arithmancy, and Lucky Numbers even more so. Lucky Numbers are those positive integers that have at least three distinct prime factors; 30 and 42 are the first two. Malfoy's teacher has given them a positive integer n, and has asked them to find the n-th lucky number. Malfoy would like to beat Hermione at this exercise, so although he is an evil git, please help him, just this once. After all, the know-it-all Hermione does need a lesson.


The first line contains the number of test cases T. Each of the next T lines contains one integer n.


Output T lines, containing the corresponding lucky number for that test case.


1 <= T <= 20
1 <= n <= 1000


Sample Input:

Sample Output:

hide comments
luc1d_4nc3st0r: 2022-07-05 05:40:46


Last edit: 2022-07-05 05:49:57
saurav_03: 2022-02-10 19:13:56

Hint: prime factorization, and keep track of distinct prime number >=3

cormackrum: 2021-07-30 01:33:46

Hint: Pre-Compute only upto 2700 numbers!

sarkardchamp: 2021-04-20 23:56:04

which is the third lucky number?
2*2*3*5 or 3*5*7?

ankay_21: 2020-10-18 17:06:36

**Take Care** - 'at least'

deepak_start: 2020-07-10 17:02:38

precompute and print.

vritta: 2020-04-20 18:45:41

If stuck, see <snip>

[NG]: Nobody gets stuck on a problem this basic, but should that happen, seeing the ready solution doesn't do them any good.

Last edit: 2021-04-21 13:39:09
sanket17: 2019-07-14 09:54:03

Brute force will work

mr_quan1998: 2019-07-05 19:29:12

"At leash" make me cry T_T

aj_254: 2019-05-11 13:23:44

precompute and print.

Added by:Varun Jalan
Time limit:3s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Varun Jalan - ICPC Asia regionals, Amritapuri 2011