I like it. Dr Nicely format was very suscinct and highly informative. I believe you have managed to do the same here!
Quote:
Originally Posted by mart_r
I was digging through half of the web to track down the sources for this table. I tried to make it look more like the tables from T. R. Nicely.
The earliest mention of a search explicitly for gaps between prime twins was from a NMBRTHRY letter on Nov 23, 1998 by Randall L. Rathbun.
If you know of any earlier work from anyone who was studying gaps between prime twins, please let me know so I can update the table.
I can only give the first few lines here, as the whole table exceeds 65536 characters. 
See attachment for the whole table.
Attached is also a more spreadsheet-friendly version in the format used earlier.
Code:
gap: gap between the respective first members of the twin primes
F: first instance gap
M: maximal gap
R: record merit
merit: 2 * c_2 * gap / [log(p) * log(p + gap)] where c_2 = the twin prime constant = 0.6601618...
i: number of intermediate primes between the twins
k: initial twin p = 6 * k ± 1
gap/6 gap FMR discoverer year merit i k
-----------------------------------------------------------------
1 6 FMR R.Rathbun 1998 1.78 0 1
2 12 FM R.Rathbun 1998 1.61 1 3
3 18 FM R.Rathbun 1998 1.55 2 7
4 24 F R.Rathbun 1998 0.76 1 103
5 30 FMR R.Rathbun 1998 2.00 4 12
6 36 FM R.Rathbun 1998 1.41 3 52
7 42 F R.Rathbun 1998 0.93 5 378
8 48 F R.Rathbun 1998 1.60 4 87
9 54 F R.Rathbun 1998 1.25 4 313
10 60 F R R.Rathbun 1998 2.06 7 77
11 66 F R.Rathbun 1998 1.56 7 287
12 72 FMR R.Rathbun 1998 2.69 10 58
13 78 F R.Rathbun 1998 2.05 9 192
14 84 F R.Rathbun 1998 1.97 7 298
15 90 F R.Rathbun 1998 1.77 9 597
16 96 F R.Rathbun 1998 2.14 7 357
17 102 F R.Rathbun 1998 1.75 7 1075
18 108 F R R.Rathbun 1998 2.73 8 220
19 114 F R.Rathbun 1998 1.51 10 3563
20 120 F R R.Rathbun 1998 2.94 15 248
21 126 F R.Rathbun 1998 1.88 11 2042
22 132 F R.Rathbun 1998 2.42 10 800
23 138 F R R.Rathbun 1998 3.88 17 147
24 144 F R.Rathbun 1998 1.88 13 3843
25 150 FMR R.Rathbun 1998 4.56 18 110
26 156 F R.Rathbun 1998 2.11 11 3257
27 162 F R.Rathbun 1998 2.41 18 2063
28 168 FM R.Rathbun 1998 3.64 18 397
29 174 F R.Rathbun 1998 2.06 14 6458
30 180 F R.Rathbun 1998 2.77 16 1755
31 186 F R.Rathbun 1998 2.21 17 6227
32 192 F R.Rathbun 1998 3.08 22 1438
33 198 F R.Rathbun 1998 3.14 20 1507
34 204 F R.Rathbun 1998 2.47 15 5638
35 210 FM R.Rathbun 1998 3.67 18 980
36 216 F R.Rathbun 1998 2.24 16 13372
37 222 F R.Rathbun 1998 3.15 21 2560
38 228 F R.Rathbun 1998 2.61 17 7637
39 234 F R.Rathbun 1998 2.80 19 6018
40 240 F R.Rathbun 1998 3.44 27 2438
41 246 F R.Rathbun 1998 2.92 19 6332
42 252 F R.Rathbun 1998 3.01 25 6088
43 258 F R.Rathbun 1998 2.63 20 14542
44 264 F R.Rathbun 1998 2.79 21 11833
45 270 F R.Rathbun 1998 3.86 25 2478
46 276 F R.Rathbun 1998 3.24 19 6692
47 282 FM R.Rathbun 1998 4.11 25 2233
48 288 F R.Rathbun 1998 3.19 21 9105
49 294 F R.Rathbun 1998 3.44 25 6808
50 300 F R.Rathbun 1998 3.37 21 8432
51 306 F R.Rathbun 1998 2.88 24 23277
52 312 F R.Rathbun 1998 3.55 25 7968
53 318 F R.Rathbun 1998 3.75 26 6585
54 324 F R.Rathbun 1998 3.05 21 23133
55 330 F R.Rathbun 1998 3.40 22 13815
56 336 F R.Rathbun 1998 3.12 24 25347
57 342 F R.Rathbun 1998 3.51 24 13953
58 348 F R.Rathbun 1998 4.00 28 7462
59 354 F R.Rathbun 1998 3.10 20 35798
60 360 F R.Rathbun 1998 3.21 27 31972
61 366 F R.Rathbun 1998 3.39 23 25587
62 372 FMR R.Rathbun 1998 5.08 26 3090
63 378 F R.Rathbun 1998 3.73 25 17475
64 384 F R.Rathbun 1998 2.91 25 90423
65 390 F R.Rathbun 1998 4.33 29 9002
66 396 F R.Rathbun 1998 3.10 25 72942
67 402 F R.Rathbun 1998 3.91 28 19033
68 408 F R.Rathbun 1998 4.01 26 17850
69 414 F R.Rathbun 1998 3.69 23 32378
70 420 F R R.Rathbun 1998 5.35 36 4377
71 426 F R.Rathbun 1998 4.43 33 12952
72 432 F R.Rathbun 1998 4.05 32 23693
73 438 F R.Rathbun 1998 3.65 30 48785
74 444 F R.Rathbun 1998 3.87 29 37058
75 450 F R.Rathbun 1998 4.57 39 14845
76 456 F R.Rathbun 1998 3.70 30 58077
77 462 F R.Rathbun 1998 4.05 29 35368
78 468 F R.Rathbun 1998 3.63 30 77697
79 474 F R.Rathbun 1998 4.64 34 18308
80 480 F R.Rathbun 1998 3.92 35 55143
81 486 F R.Rathbun 1998 4.30 30 33397
82 492 F R.Rathbun 1998 3.84 28 74400
83 498 FMR R.Rathbun 1998 6.43 40 4070
84 504 F R.Rathbun 1998 4.71 39 24168
85 510 F R.Rathbun 1998 4.90 37 20478
86 516 F R.Rathbun 1998 3.67 29 138187
87 522 F R.Rathbun 1998 4.02 29 80868
88 528 F R.Rathbun 1998 4.98 42 22890
89 534 F R.Rathbun 1998 4.35 35 56523
90 540 F R.Rathbun 1998 4.41 34 55632
91 546 F R.Rathbun 1998 4.74 32 37942
92 552 F R.Rathbun 1998 4.25 41 81448
93 558 F R.Rathbun 1998 4.72 30 44660
94 564 F R.Rathbun 1998 3.77 40 213103
95 570 F R.Rathbun 1998 4.27 41 97545
96 576 F R.Rathbun 1998 3.58 39 354662
97 582 F R.Rathbun 1998 5.32 39 27620
98 588 F R.Rathbun 1998 5.36 41 27977
99 594 F R.Rathbun 1998 3.66 36 383148
100 600 F R.Rathbun 1998 5.07 40 44905
|