World!Of
Numbers
WON plate
|

[ December 23, 2016 ]
The mean merit of the borderprime gaps converges to 2
 Conjecture  by Patrick De Geest

Here is the data I collected from my completed borderprp files.

borderprp(00000-04999).txt Sum of 4999 merits
Mean merit		10025,5455908894639596761
2,0055102202219371793
borderprp(05000-09999).txt Sum of 5000 merits
Mean merit		9975,1571466100067322068
1,9950314293220013464
borderprp(10000-14999).txt Sum of 5000 merits
Mean merit		9877,3281987156469657598
1,9754656397431293931
borderprp(15000-19999).txt Sum of 5000 merits
Mean merit		10023,0967943808295817027
2,0046193588761659162

From these four large files I noticed that the overall
mean merit wobbles around the value of 2.
Hence my conjecture based around the first 19999 consecutive
borderprime gaps that the average merit value converges to 2.

borderprp's (00000-19999) Sum of 19999 merits
Mean merit		39901,1277305959472393456
➜  1,9951561443370142126


A000201 Prime Curios! Prime Puzzle
Wikipedia 201 Le nombre 201

[ TOP OF PAGE]

( © All rights reserved )
Patrick De Geest - Belgium - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com