Ideone.com

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import java.util.List;
import java.util.ArrayList;
import java.util.Collections;
 
class Ideone {
 
  static final boolean[] nprime = new boolean[65536];
  static final int[] omega = new int[65536];
  static final int[] ld = new int[65536];
  static final List<Integer>[] divisors = new List[65536];
 
  static void sieve() {
  	nprime[0] = nprime[1] = true;
 
    for (int n = 2; n < 32768; ++n) {
      if (nprime[n]) { continue; }
 
      /* n is prime */
      omega[n] = 1;
      ld[n] = n;
      divisors[n] = new ArrayList<Integer>();
      divisors[n].add(n);
 
      /* mark out multiples */
      for (int m = n << 1; m < 65536; m += n) {
        if (ld[m] == 0) {
          ld[m] = n;
        }
 
        if (divisors[m] == null) {
          divisors[m] = new ArrayList<Integer>();
        }
 
        divisors[m].add(n);
        omega[m]++;
        nprime[m] = true;
      }
    }
  }
 
  static void check_ineq() {
  	final double log2 = Math.log(2);
    for (int n = 2; n < 65536; ++n) {
      final double rhs = 2 * Math.log(n);
      final double lhs = omega[n] * log2 * ld[n];
      if (lhs > rhs) {
      	if (nprime[n]) {
          System.out.println(n + ": " + divisors[n]);
      	}
      }
    }	
  }
 
  public static void main(final String[] argv) {
    sieve();
    check_ineq();
  }	
}

Runtime error #stdin #stdout 0.28s 320704KB

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Standard input is empty

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37937:

https://ideone.com/RVxsVk

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