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  1. from math import log
  2.  
  3. count = 1 ; i = 1 ; D = {}
  4. n = 100000                        # 20k:0.20s 
  5. m = int(n*(log(n)+log(log(n))))   # 100k:1.15s 200k:2.36s-7.8M 
  6. while count < n:                  #            400k:5.26s-8.7M 
  7.         i += 2                    #            800k:11.21-7.8M 
  8.         if i not in D:            #            1mln:13.20-7.8M (n^1.1)
  9.             count += 1
  10.             #print(i) ,
  11.             #if count%20==0: print ""
  12.             k = i*i
  13.             if k > m:  break
  14.             while k <= m:
  15.                 D[k] = 0 
  16.                 k += 2*i
  17. while count < n:
  18.         i += 2
  19.         if i not in D: count += 1
  20. if i >= m: print "invalid: top value estimate too small",i,m ; error
  21. print i,m
Success #stdin #stdout 1.14s 8672KB
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1299709 1395639
https://ideone.com/16WrO3
language:
Python (cpython 2.7.16)
created:
11 years ago
visibility:
secret

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