A114417
Records in 7-almost prime gaps, ordered by merit.
Original entry on oeis.org
64, 96, 112, 168, 210, 280
Offset: 1
Records defined in terms of A114407 and A046308:
n A114407(n) A114407(n)/log(A046308(n))
1 64 64/log 128 = 30.371914
2 96 96/log 192 = 42.0443868
3 32 32/log 288 = 13.0113433
4 112 112/log 320 = 44.7079021
5 16 16/log 432 = 6.07099172
6 32 32/log 448 = 12.0696509
7 168 168/log 480 = 62.6575474
8 24 24/log 648 = 8.53614076
A114418
Records in 8-almost prime gaps ordered by merit.
Original entry on oeis.org
128, 192, 224, 336, 420, 560
Offset: 1
Records defined in terms of A114408 and A046310:
n A114418(n) A114418(n)/log(A046310(n)).
1 128 128/log 256 = 53.1508495
2 192 192/log 384 = 74.2938824
3 64 64/log 576 = 23.1848568
4 224 224/log 640 = 79.8238182
5 32 32/log 864 = 10.8972758
6 64 64/log 896 = 21.6779549
7 336 336/log 960 = 112.665809
8 48 48/log 1296 = 15.4211665
22 420 420/log 2496 = 123.629603
A114413
Records in 3-almost prime gaps ordered by merit.
Original entry on oeis.org
4, 6, 12, 58, 83
Offset: 1
Records defined in terms of A114403 and A014612:
n A114403(n) A114403(n)/log_10(A014612(n))
= ========== =============================
1 4 4/log_10(8) = 4.42923746
2 6 6/log_10(12) = 5.55977045
3 2 2/log_10(18) = 1.59327954
4 7 7/log_10(20) = 5.38035251
5 1 1/log_10(27) = 0.698634425
6 2 2/log_10(28) = 1.38201907
7 12 12/log_10(30) = 8.12390991
...
19 14 14/log_10(78) = 7.3992072
A114416
Records in 6-almost prime gaps ordered by merit.
Original entry on oeis.org
32, 48, 56, 84, 105, 140
Offset: 1
Records defined in terms of A114406 and A046306:
n A114406(n) A114406(n)/log(A046306(n)).
1 32 32/log 64 = 17.7169498
2 48 48/log 96 = 24.2146479
3 16 16/log 144 = 7.41302726
4 56 56/log 160 = 25.4069653
5 8 8/log 216 = 3.42692589
6 16 16/log 224 = 6.80779215
7 84 84/log 240 = 35.2909853
8 12 12/log 324 = 4.77983862
...
22 105 105/log 624 = 37.5646032