For all the remaining TRP k's I calculated their Riesel weight and the probability of there being a prime from their leading edge (~6.05M) to 10M.
k ; w ; Chance to 10M
2293 ; 0.1181815794 ; 8.56%
9221 ; 0.2101005857 ; 15.23%
23669 ; 0.090206229 ; 6.53%
31859 ; 0.097628261 ; 7.07%
38473 ; 0.059947178 ; 4.34%
40597 ; 0.151866184 ; 11.00%
46663 ; 0.065656433 ; 4.76%
67117 ; 0.111330473 ; 8.07%
74699 ; 0.050812369 ; 3.68%
81041 ; 0.065656433 ; 4.76%
93839 ; 0.160430066 ; 11.63%
97139 ; 0.078216794 ; 5.67%
107347 ; 0.11418510 ; 8.27%
121889 ; 0.08506790 ; 6.16%
129007 ; 0.05994717 ; 4.34%
143047 ; 0.05138329 ; 3.72%
146561 ; 0.10961769 ; 7.94%
161669 ; 0.03368460 ; 2.44%
192971 ; 0.03653923 ; 2.64%
206039 ; 0.07992957 ; 5.79%
206231 ; 0.07364939 ; 5.33%
215443 ; 0.11589787 ; 8.40%
226153 ; 0.08449697 ; 6.12%
234343 ; 0.08963530 ; 6.49%
245561 ; 0.02740442 ; 1.98%
250027 ; 0.06736920 ; 4.88%
273809 ; 0.11304324 ; 8.19%
304207 ; 0.03653923 ; 2.64%
315929 ; 0.11703972 ; 8.48%
319511 ; 0.15985914 ; 11.58%
324011 ; 0.08963530 ; 6.49%
325123 ; 0.07307846 ; 5.29%
327671 ; 0.05937625 ; 4.30%
336839 ; 0.22323187 ; 16.18%
342847 ; 0.01998239 ; already at 10M
344759 ; 0.09648641 ; 6.99%
362609 ; 0.15414988 ; 11.17%
363343 ; 0.09020622 ; 6.53%
364903 ; 0.15357896 ; 11.13%
365159 ; 0.14273137 ; 10.34%
368411 ; 0.15414988 ; 11.17%
371893 ; 0.09534455 ; 6.91%
384539 ; 0.10733399 ; 7.78%
386801 ; 0.06908198 ; 5.00%
397027 ; 0.04852866 ; 3.51%
398023 ; 0.07307846 ; 5.29%
402539 ; 0.13416749 ; 9.72%
409753 ; 0.10048288 ; 7.28%
444637 ; 0.02169516 ; already at 10M
470173 ; 0.09134808 ; 6.62%
474491 ; 0.14786970 ; 10.72%
477583 ; 0.03311367 ; 2.40%
485557 ; 0.05252514 ; 3.80%
494743 ; 0.05366699 ; 3.89%
502573 ; 0.06337273 ; 4.59%
According to this we will, on average, find primes for 3.6 k's below n=10M.
342847 and 444637 have already been pushed to 10M, presumably because they have the lowest number of tests remaining after sieving. However they also have the lowest chance of finding a prime.
9221 and 336839 have the highest chance of finding a prime. Does anyone else feel like we should be attacking those k's first?

Note that my chance calculation is based on the Prime Number theory:
http://www.primegrid.com/forum_thread.php?id=4935&nowrap=true#64017
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For the TRP found k of the original 64:
k ; w ; rank(w) of 64 ; n found
65531 ; 0.1130432499 ; 18 ; 3.6M
123547 ; 0.062801805 ; 49 ; 4.2M
141941 ; 0.246068892 ; 01 ; 4.3M
162941 ; 0.073078464 ; 41 ; 5.0M
191249 ; 0.104479367 ; 23 ; 3.4M
252191 ; 0.085638825 ; 33 ; 5.5M
353159 ; 0.079358645 ; 38 ; 4.3M
415267 ; 0.171277651 ; 04 ; 4.2M
428639 ; 0.085638827 ; 34 ; 3.5M

Average rank = 26.7 => 41.8% of range

As a predictor it's not fabulous, but then it's still better than a random k (50% of range).
The first expected prime for k with w below 0.05 is really scary, like n in the billions, and it goes up super fast as w gets smaller.

For the original 64 k's would have expected to find, on average, 6.1 primes in the range 3M<n<6M.
We found 9 within that range.
The probability distribution would be some kind of bell curve and we were on the luckier end.