Very Prime Riesel and Sierpinski k

[Thomas11]

Here are another 442 VPS for the Proth side.

Included are a few for E=148 out of which the best sequence up to n=10000 is:
S 1333065872362221 148 100/6667 112/10000

Noteworthy is also the following:
S 10894624054013 66 100/3393 110/10000
which is quite close to the 100/3258 record (S 1108828374241 52)

[robert44444uk]

Originally Posted by Thomas11

Here are another 442 VPS for the Proth side.

Included are a few for E=148 out of which the best sequence up to n=10000 is:
S 1333065872362221 148 100/6667 112/10000

Noteworthy is also the following:
S 10894624054013 66 100/3393 110/10000
which is quite close to the 100/3258 record (S 1108828374241 52)

Brilliant Thomas11, what a lovely long list. I would say that you should move the two quoted above quickly up to the break point, as these are true stars. Never seen a E148 before, although was close on E162 in the original work. The E148 you quoted is off the charts and must be looked at in great depth. All E148's are incredibly rare and deserve taking further. With your permission I will take the remainder of the E148's to 20K. You keep the star.

We now have 1350 of both using Robert G's program, of which 206 are 105 or more at 10000, and 17 at 110 or more.

I will concentrate on taking the highlighted Riesel up a lot further.

[Thomas11]

Here is just a little addition to the list of 442 VPS posted earlier (see attachment). I simply forgot to check the y values for higher factors. Meanwhile I checked for this and found that 17 of the 442 VPS are indeed members of higher E's. And it turns out that 9 of them are already known...

Originally Posted by robert44444uk

... With your permission I will take the remainder of the E148's to 20K. You keep the star.

You may take all of them (including the "star") if you like. I will continue using Robert's program for a while to find (hopefully) a few more 115+ candidates.
Will switch to PFGW testing later.

[robert44444uk]

Originally Posted by Thomas11

Here is just a little addition to the list of 442 VPS posted earlier (see attachment). I simply forgot to check the y values for higher factors. Meanwhile I checked for this and found that 17 of the 442 VPS are indeed members of higher E's. And it turns out that 9 of them are already known...



You may take all of them (including the "star") if you like.

Will adjust the table accordingly.

I will take the star on as well.

[robert44444uk]

The star 13330...M148 was 125/20000 now 126/21359...going like a train

Of the others, 16937...M148 has gone from 102/10000 to 114/14538. That is impressive.

[robert44444uk]

The star 13330...M148 slowed down a bit, hoping it will pick up speed soon, was 126/21359 now 134/44497. As a comparison, the best 17 Sierpinskis checked to higher levels were on average 129/40000, and the best 135/40000, so right up there, with a higher density of remaining candidates.

Of the others, all checked to 20000, all very promising, they should all do well

18597...M148 119/20000
16937...M148 118/20000
59473...M148 118/20000

No other M148 beat 113/20000

[robert44444uk]

Star still performing well...137/55441

I am taking the three others to 30K, at n=29829 one of the three posted a superb 12 primes in the range 20K-30K

18597...M148 119/20000 131/29829

So now we have two stars

[robert44444uk]

13330...M148 now at 141/66669 very presentable

Records at this level are not known, because of lost results of R 638621868573 60. This candidate was apparently 149/75000. Of those where there is a full record, the Riesel best is 143 and Seirpinski 142.

The other candidate slowed somewhat and I have stopped checking it

18597...M148 119/20000 131/30000 134/52361

[robert44444uk]

13330...M148 now at 143/75530. Will stop at 100000. This now is in the Sierpinski racing record books with 143/70581, beating previous record by 6000 n. Needs some more soon though to beat 148/100000

[robert44444uk]

13330...M148 now at 145/79597, but I am running 2 cores, and the other is blank from 85K-92500.

Still 144/77520 and 145/78928 are both Sierpinski records, by a whisker. Need the next to appear by n=82797

[robert44444uk]

13330...M148 now at 147/96228.

146/79804 and 147/94911 are both Sierpinski best. Need 148 to appear by n=97637. Does not look likely to hit 150/100000 which is a shame