[QUOTE=pepi37;449617]K 4 S 920 eliminated
4*920^103686+1 is prime! (307304 decimal digits) Time : 443.927 sec.

K 8 S 920 eliminated
8*920^107821+1 is prime! (319560 decimal digits) Time : 459.749 sec.

continuing...
(files attached)[/QUOTE]

A big congrats! It's very difficult to eliminate k=4 and k=8 on the Sierp side. To do them both on the same base so quickly is tremendous! :smile:

[QUOTE=gd_barnes;449660]A big congrats! It's very difficult to eliminate k=4 and k=8 on the Sierp side. To do them both on the same base so quickly is tremendous! :smile:[/QUOTE]

Yes I know that ( I am fight a battle ) with S155 S212 S467 and S803 all with K=4 , and know how it is difficult :)
But on the other side, I solved K4 S737 and K4 S 410 :) That primes irregularity kills me :)

[QUOTE=gd_barnes;449660]A big congrats! It's very difficult to eliminate k=4 and k=8 on the Sierp side. To do them both on the same base so quickly is tremendous! :smile:[/QUOTE]

Now, only these Sierp bases <= 1030 with k=4 remaining: (excluding GFNs, i.e. base 32 and 512)

53 (500K, already reserving to 1M for BOINC)
155 (915K, reserving to 1M by pepi37)
174 (600K, reserving to 1M by MyDogBuster)
204 (400K, already reserving to 1M for BOINC)
212 (625K, reserving to 1M by pepi37)
230 (600K, already reserving to 1M for BOINC)
332 (200K)
334 (200K)
335 (600K, already reserving to 1M for BOINC)
395 (500K)
467 (510K, reserving to 1M by pepi37)
593 (200K, reserving to 300K by pepi37)
767 (100K)
789 (100K)
797 (400K, already reserving to 1M for BOINC)
803 (465K, reserving to 1M by pepi37)
848 (100K)
875 (600K, already reserving to 1M for BOINC)

I think that pepi37 only reserve those bases = 2, 5, 8, 11 (mod 15) is because for these bases b, if 4*b^n+1 is prime, then this b must be even and 4*b^n+1 is of the form x^2+1 and can be submitted to ([URL]http://primes.utm.edu/top20/page.php?id=12[/URL]). (if b = 4, 9 (mod 15), then if 4*b^n+1 is prime, then this b must be odd and 4*b^n+1 is not of the form x^2+1)

Now, the top 10 primes for Sierp k=4 are:

737 (269302)
257 (160422)
410 (144078)
920 (103686)
934 (101403)
650 (96222)
962 (84234)
679 (69449)
579 (67775)
740 (58042)

[QUOTE=sweety439;449692]Now, only these Sierp bases <= 1030 with k=4 remaining: (excluding GFNs, i.e. base 32 and 512)

53 (500K, already reserving to 1M for BOINC)
155 (915K, reserving to 1M by pepi37)
174 (600K, reserving to 1M by MyDogBuster)
204 (400K, already reserving to 1M for BOINC)
212 (625K, reserving to 1M by pepi37)
230 (600K, already reserving to 1M for BOINC)
332 (200K)
334 (200K)
335 (600K, already reserving to 1M for BOINC)
395 (500K)
467 (510K, reserving to 1M by pepi37)
593 (200K, reserving to 300K by pepi37)
767 (100K)
789 (100K)
797 (400K, already reserving to 1M for BOINC)
803 (465K, reserving to 1M by pepi37)
848 (100K)
875 (600K, already reserving to 1M for BOINC)

I think that pepi37 only reserve those bases = 2, 5, 8, 11 (mod 15) is because for these bases b, if 4*b^n+1 is prime, then this b must be even and 4*b^n+1 is of the form x^2+1 and can be submitted to ([URL]http://primes.utm.edu/top20/page.php?id=12[/URL]). (if b = 4, 9 (mod 15), then if 4*b^n+1 is prime, then this b must be odd and 4*b^n+1 is not of the form x^2+1)

Now, the top 10 primes for Sierp k=4 are:

737 (269302)
257 (160422)
410 (144078)
920 (103686)
934 (101403)
650 (96222)
962 (84234)
679 (69449)
579 (67775)
740 (58042)[/QUOTE]


You are so clever guy! But aside of that: I reserved those bases for totally different reason , and will not explain what reason is.

[QUOTE=pepi37;449703]You are so clever guy! But aside of that: I reserved those bases for totally different reason , and will not explain what reason is.[/QUOTE]

Thanks!!!

In before, I knew that you reserved many Sierp bases b which has only k=4 remain and was interested that why you did not reserve S204, and I thought the reason is if 4*204^n+1 is prime, then this n must be odd and 4*204^n+1 is not of the form x^2+1. (Another reason I ever thought is that 204 is divisible by 4, but you also reserved S212 and 212 is also divisible by 4, so this is not the reason)

S522 progress update.
 

I´m actually on n=6427.
>550 primes found, some of them are very close:

[CODE]
14004*522^5613+1 is prime! Time : 4.368 sec.
19360*522^5613+1 is prime! Time : 4.625 sec.[/CODE]

[CODE]
9544*522^2983+1 is prime! Time : 1.033 sec.
15179*522^2983+1 is prime! Time : 1.191 sec.[/CODE]

[CODE]
27452*522^3150+1 is prime! Time : 1.148 sec.
4815*522^3151+1 is prime! Time : 1.194 sec.[/CODE]

I think I´ll finish it before 2017 starts.

R602 k=66 is complete to n=200K; no primes were found for n=100K-200K; 2 k's still remain; base released.

S758 tested to n=500k (200-500k)

nothing found, 1 remain

Results emailed - Base released

Reserving S844 to n=500k (200-500k) for BOINC

Reserving S864 to n=500k (200-500k) for BOINC

Reserving S733 to n=100k (25-100k) for BOINC

S742 tested to n=100k (25-100k)

47 primes found, 52 remain

[CODE]2689*742^26003+1
14187*742^26072+1
27193*742^26168+1
14242*742^26274+1
17344*742^26730+1
13657*742^27116+1
17398*742^27284+1
11602*742^28352+1
12337*742^29046+1
22806*742^30049+1
29719*742^30489+1
28741*742^30719+1
3486*742^31967+1
12883*742^32912+1
22018*742^34348+1
27799*742^34774+1
17467*742^34891+1
19953*742^35692+1
29059*742^36017+1
27820*742^39702+1
6067*742^39855+1
19762*742^40623+1
4150*742^42196+1
2137*742^43316+1
9633*742^44145+1
3276*742^45047+1
15561*742^46104+1
27519*742^49310+1
9720*742^49675+1
12823*742^52812+1
10897*742^52890+1
22371*742^55489+1
9964*742^58778+1
16629*742^60601+1
19138*742^61457+1
20233*742^62646+1
25069*742^62890+1
29092*742^66075+1
19267*742^67803+1
28894*742^69426+1
26112*742^70794+1
18646*742^70827+1
7288*742^74313+1
8172*742^87879+1
21933*742^95188+1
15039*742^95518+1
4087*742^98932+1
[/CODE]Results emailed - Base released

R1024 tested to n=1M (780k-1M)

nothing found, 1 remain

Results emailed - Base released