If you take the following comma delimited file into a spreadsheet, and
graph it (say with a line chart) it shows the relationship of Mersenne
exponents to their index, for the first 37 Mersenne primes. The first
column is the log of (3/2)^n, the second column is the log of the exponent
of the nth Mersenne prime.
0.405,0.693
0.811,1.099
1.216,1.609
1.622,1.946
2.027,2.565
2.433,2.833
2.838,2.944
3.244,3.434
3.649,4.111
4.055,4.489
4.460,4.673
4.866,4.844
5.271,6.256
5.677,6.409
6.082,7.154
6.487,7.698
6.893,7.732
7.298,8.076
7.704,8.355
8.109,8.395
8.515,9.179
8.920,9.204
9.326,9.325
9.731,9.900
10.137,9.985
10.542,10.052
10.948,10.703
11.353,11.365
11.758,11.613
12.164,11.791
12.569,12.283
12.975,13.537
13.380,13.664
13.786,14.045
14.191,14.151
14.597,14.906
15.002,14.921
+----------------------------------------------+
| Jud "program first and think later" McCranie |
+----------------------------------------------+
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