I have now run the Sierp odd-n conjectures up to n=115K and will be continuing on to n=200K sometime next week after completing some sieving for conjectures team drive #1 and a couple of other things. Below are the k's left at n=32K with primes found for n=32K-115K.

I decided to leave the even k's in because in effect it is testing the even conjecture for all k < 95282/2=47641 and I had already sieved them. That should save a lot of effort on that side.

Code:

k comments/prime
2943 prime n=108041
9267
17937 prime n=53927
24693
26613 prime n=89749
29322 even; prime n=91367
32247
35787 prime n=36639
37953
38463 prime n=58753
39297
43398 even; prime n=72873
46623 prime n=79553
46902 even
47598 even; prime n=105899
50433
53133
60357
60963 prime n=73409
61137
61158 even; prime n=48593
62307 prime n=44559
67542 even
67758 even
70467
75183 prime n=35481
78753 prime n=63761
80463
83418 even; prime n=80593
84363
85287
85434 even
91437
93477 prime n=63251
93663 prime n=82317

Total of 14 odd k's and 4 even k's remaining.

So...based on this effort by itself, here are the statuses of the base 2 Sierp odd-n and even-n cojectures:

Odd-n:

14 k's remaining at n=115K from odd k's above. k's remaining:

9267

24693

32247

37953

39297

50433

53133

60357

61137

70467

80463

84363

85287

91437

Even-n:

47641<k<66741: still needs to be tested.

k<=47641: 4 k's remaining at n=115K from even k's above. k's remaining converted to odd-k:

23451

33771

33879

42717

Edit: I just now realized that it was already stated that only k=23451 and 60849 are remaining on the even-n side as a result of the Sierp base 4 project. OK, NEXT time I'll remove the even k's from my testing. Ergh!

Gary