Also, 31^5-55758 is prime, thus the mixed Riesel conjecture base 31 is also a theorem.

For the S37 case, 37^1+94, 37^5+1272, and 37^2+2224 are primes, thus the mixed Sierpinski conjecture base 37 is also a theorem.

For the S43 case, 43^n+166 is composite for all small n, thus the mixed Sierpinski conjecture base 43 is still unsolved.

For the R23 case, 23^568-404 is prime, thus the mixed Riesel conjecture base 23 is also a theorem.

R37 case has 3 k-values remain: 1578, 6752, and 7352:

Code:

|37^3-522|
|37^30-816|
|37^4-1614|
|37^1-2148|
|37^298-2640|
|37^3-3972|
|37^1-4428|
|37^401-5910|
|37^33-7088|