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Base 43 has Riesel = 672
covering set = {5, 11, 37}

Excluded:
k mod 2 = 1
k mod 3 = 1
k mod 7 = 1

highest primes
308 624
12 203
516 202
450 162
494 148
476 101
104 77
560 70
384 48
188 37

All primes in attachment.