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Old 2021-01-21, 21:53   #37
mart_r
 
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Dec 2008
you know...around...

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Default I won't give up, not yet

Search stats:
Code:
                  max. p searched:
       q <= 1000: 1.985e+13
1000 < q <= 2690: 1.211e+13
2690 < q <= 1e+5: 2.347e+11
1e+5 < q <= 2e+5: 6.245e+10
2e+5 < q <= 5e+5: 6.050e+10
5e+5 < q <= 1e+6: 2.400e+10
1e+6 < q <= 2e+6: 1.600e+10
2e+6 < q <= 5e+6: 3.000e+9
(only even q are examined)
The most recent inventory contained 2,849 exceptionally large gaps by the sum(Ri') measure,
of which 1,689 meet the conventional criterion g/[\(\varphi\)(q) log²(p+g)] > 1.

There is one new record by the conventional criterion:
p = 938,688,203
q = 4,200,826 = 2×7×61×4,919
k = 239
g/[φ(q) log²(p+g)] = 1.239732926499...
(unconventionally 1.2777045741...)
Attached Files
File Type: txt PGAP_records per q 2021-01-21.txt (56.9 KB, 43 views)
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