S703
 

S703 tested n=25K-50K

276*703^27272+1 is prime
430*703^46194+1 is prime

Results emailed - Base released

S703 is now a 3ker

S710
 

S710 tested n=25K-50K

10*710^31038+1 is prime

Results emailed - Base released

S710 is now a 4ker

R507 is in progress to 25K.

Partial remake had to be done on [I]k[/I]'s that were "eliminated" by pfgw3.5.0 and then put back into pl_remain list, so currently the count is at 55 [I]k[/I] remaining which are spread around [I]n[/I]~=15-20K.

S716
 

S716 tested n=25K=50K

173*716^25905+1 is prime
83*716^31267+1 is prime

Results emailed - Base released

S716 is now a 4ker

Reservations
 

Reserving the following to n=50K.

S773 S788 S789 S890 S805
S806 S811 S825 S842 S859

[QUOTE=MyDogBuster;275062]Reserving the following to n=50K.

S773 S788 S789 S890 S805
S806 S811 S825 S842 S859[/QUOTE]

A couple of problems here:

S788 is already at n=50K. I'll assume that you will not reserve it.

S890 is proven. I'll assume that you mean S790 since it is between S789 and S805.

[QUOTE]S788 is already at n=50K. I'll assume that you will not reserve it.
S890 is proven. I'll assume that you mean S790 since it is between S789 and S805. [/QUOTE]

Correct and correct. Chalk those up to no sleep.

R727
 

R727 tested n=25K-50K

156*727^43262-1 is prime

Results emailed - Base released

R727 is now a 3ker

R736
 

R736 tested n=25K-50K

749*736^28425-1 is prime
285*736^31508-1 is prime

Results emailed - Base released

R736 is now a 1ker

[QUOTE=gd_barnes;275250]Proof of R736 with CK=870 would be our 3rd largest Riesel conjecture proven. Anyone care to test this for n=50K-100K or higher?[/QUOTE]
Let's do it. I am almost done with R507... Will reserve R736 to 100K.

R737
 

R737 tested n=25K-50K

16*737^28623-1 is prime

Results emailed - Base released

R737 is now a 3ker