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Old 2008-01-14, 21:56   #1
paulunderwood
 
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Sep 2002
Database er0rr

11·313 Posts
Lightbulb Prediction for the next prime

This is a simple statistical prediction for the next 3*2^n-1 prime based on historical evidence. It assumes no primes have been missed. The statistics do not take into account the "prime number theorem" Please criticize.

Code:
"n"    Increase over the previous exponent
----   -------------------------------------
1	0.0000000
2	2.0000000
3	1.5000000
4	1.3333333
6	1.5000000
7	1.1666667
11	1.5714286
18	1.6363636
34	1.8888889
38	1.1176471
43	1.1315789
55	1.2790698
64	1.1636364
76	1.1875000
94	1.2368421
103	1.0957447
143	1.3883495
206	1.4405594
216	1.0485437
306	1.4166667
324	1.0588235
391	1.2067901
458	1.1713555
470	1.0262009
827	1.7595745
1274	1.5405079
3276	2.5714286
4204	1.2832723
5134	1.2212179
7559	1.4723413
12676	1.6769414
14898	1.1752919
18123	1.2164720
18819	1.0384042
25690	1.3651097
26459	1.0299338
41628	1.5733021
51387	1.2344336
71783	1.3969097
81330	1.1329981
85687	1.0535719
88171	1.0289892
97063	1.1008495
123630	1.2737088
155930	1.2612634
164987	1.0580838
234760	1.4229000
414840	1.7670813
584995	1.4101702
702038	1.2000752
727699	1.0365522
992700	1.3641629
1201046	1.2098781
1232255	1.0259848
2312734	1.8768307
3136255	1.3560812
------------------------
av	1.3400057
std.dev	0.2971180
std.error 0.04
-95%	1.26 3948985.29
+95%	1.42 4456213.62
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