S163 is complete to n=100K; 4 primes were found for n=25K-100K shown below; 17 k's remain; base released.

Primes:
[code]
216*163^28267+1
1774*163^28413+1
2820*163^29308+1
1224*163^33589+1
[/code]

S128 / S512
 

For those of you who are interested, I have a list of 1074 candidate n to be tested for S128 and S512, courtesy from John over at PrimeGrid. In this list are n that meet the following criteria:

n (base 2) from 5.33e6 to 6e6
n is for S128 or n is for S512 (in some cases n is for both S128 and S512)
n sieved to 30P (3e16)
n not tested by ProthSearch searchers (many n < 6e6 have been tested, but the range is incomplete)

In other words, if you find a prime with this list, then you have proven either S128, S512, or both S128 and S512. (Assuming that I picked the correct n from the much larger list that I started with.)

If someone here decides to take this on, I recommend 64-bit pfgw over 32-bit llr because it is much faster. If Jean ever releases a 64-bit llr, then all bets are off. I expect that 10 cores could crunch this in about two months.

I will be getting a more current sieve file from John in the coming weeks, but I don't expect it to remove more than 5% or so of the candidates.

R115
 

Reserving R115 to n=50K

S177 is complete to n=100K; 6 primes were found for n=25K-100K shown below; 17 k's remain; base released.

Primes:
[code]
2308*177^45318+1
584*177^49895+1
2692*177^71820+1
2798*177^78238+1
1762*177^79972+1
242*177^83855+1
[/code]

Reserving R143 to n=100K.

S168
 

Reserving S168 to n=50K

S166 complete to n=25K. 78 primes found, 147 k remaining. Results emailed to Gary/Max.

S171 is complete to n=100K; 6 primes were found for n=25K-100K shown below; 18 k's remain; base released.

Primes:
[code]
5196*171^34876+1
17588*171^45506+1
14576*171^57173+1
14940*171^59132+1
17606*171^62387+1
18448*171^85558+1
[/code]

R115
 

R115 tested n=25K-50K

15 primes found - 57 remain

Results emailed - Base released

S193
 

Reserving S193 to n=50K

S211 is complete to n=100K; 8 primes were found for n=25K-100K shown below; 15 k's remain; base released.

Primes:
[code]
17250*211^29927+1
3378*211^31594+1
20212*211^35583+1
18750*211^37130+1
7050*211^38592+1
16600*211^42863+1
10440*211^44039+1
9906*211^72179+1
[/code]