[QUOTE=MyDogBuster;266794][COLOR=red]Unless I missed something, this is the last Sierp base with a ck <10K to be started[/COLOR]

Sierp finally beat Riesel at something :razz:[/QUOTE]

Actually all Sierp bases are complete to n=25K. S625 was complete to n=25K a few weeks ago but I need to take about 2+ hours out to verify and cross reference all base 5 and 25 primes with it.

R636 completed to n=200000. No primes.

R697
 

Riesel Base 697
Conjectured k = 4536
Covering Set = 5, 13, 349
Trivial Factors k == 1 mod 2(3) and k == 1 mod 3(3) and k == 1 mod 29(29)

Found Primes: 1433k's - File emailed

Remaining: 24k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 808k's

MOB Eliminations: 2k's - File emailed

Base Released

[COLOR=Red]This is the last Riesel base with ck<10K to be started.[/COLOR] :surrender

Kenneth has reported that S998 is at n=128.1K. There is nothing to report and he is continuing.

R812
 

R812 tested n=100K-200K - Nothing found

Results emailed - Base released

S653
 

Reserving S653 to n=100K

S1002 complete to n=50000 and released. Two primes found:

154*1002^48610+1
409*1002^46198+1

7 k remain. Residues attached.

S588 proven.
 

90*588^110728+1 is prime!

Considering this is the second highest weighted single k conjecture, this was a nice one to knock off. It took me surprise. I've been gone all week and it was discovered on Monday after I left. I didn't know about it until I returned because I didn't have PRPNet server configured to send out e-mails.

The other piece of annoyance was that the first attempt at a primality test failed with PFGW. I then realized that I entered the wrong number for the primality test. I would have been disappointed had phrot been wrong. This prime should enter as #9 on the largest primes to prove a Sierpinski conjecture.

[QUOTE=rogue;267879]90*588^110728+1 is prime!

Considering this is the second highest weighted single k conjecture, this was a nice one to knock off. It took me surprise. I've been gone all week and it was discovered on Monday after I left. I didn't know about it until I returned because I didn't have PRPNet server configured to send out e-mails.

The other piece of annoyance was that the first attempt at a primality test failed with PFGW. I then realized that I entered the wrong number for the primality test. I would have been disappointed had phrot been wrong. This prime should enter as #9 on the largest primes to prove a Sierpinski conjecture.[/QUOTE]


Nice one Mark. Another one bites the dust. Working on the heavy weights definitely gives a better chance of prime/proof before the n-value gets annoyingly large.

R1001 complete to n=50000 and released. One prime found:

478*1001^30517-1

7 k remain. Residues attached.

R1019 and S1004 have been released due to lack of activity in 6 months and response to PM/Emails over several weeks.