S994 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

Reserving S656 to n=100K (50-100k) for BOINC

S738
 

Tested up to n=15.000

21 primes

[code]
2588*738^12571+1
573*738^12611+1
3856*738^12769+1
357*738^13237+1
1648*738^13434+1
1533*738^14183+1
3432*738^14270+1
12388*738^12608+1
7260*738^12709+1
11964*738^12882+1
7536*738^13156+1
12127*738^13458+1
6854*738^13650+1
9166*738^13715+1
11436*738^13727+1
8411*738^13935+1
8011*738^13968+1
11707*738^14094+1
11220*738^14167+1
10788*738^14430+1
9876*738^14744+1
[/code]
All proven with the '-t' switch with pfgw.
(I used 2 cores that's why there is this lower n value after 3432*738^14270+1)

For the moment I have to release this base.

Reserving S814 and S848 to n=50K.

S656 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

Reserving S977 to n=100K (50-100k) for BOINC

S848 is complete to n=50K, 1 prime was found for n=25K-50K shown below, 14 k's remain, base released.

Prime:
173*848^29315+1

S814 is complete to n=50K, 3 primes were found for n=25K-50K shown below, 11 k's remain, base released.

Primes:
586*814^25024+1
496*814^26446+1
229*814^48271+1

R1029 tested n=900k to 1M, no prime.
Base released.

S977 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

Reserving S1002 to n=100K (50-100k) for BOINC

Status update.
R999/S999 @ 85K, goal is 100K.

Status update.
R800 @ 650K, search continues.

S1002 tested to n=100k (50-100k)

2 primes found, 5 remain

171*1002^53356+1 is prime!
1106*1002^79136+1 is prime!

Results emailed - Base released

R639
 

reserving R639 with all remaining k´s (24)
n= from 25000 to 50000

R646
 

reserving R646 with all remaining k´s (193)
n= from 10000 to 25000

R639
 

status update
R639, n=25000 - 30000 done
no prime
continuing
results emailed

R639 and R646
reservation canceled

R757
 

R757 tested n=10K-25K

41 primes found - 104 remain

Results emailed - Base released

Reserving S871 to n=100K (50-100k) for BOINC

Reserving S814 to n=100K (50-100k) for BOINC

S1012 tested to n=100k (25-100k)

61 primes found, 104 remain

Results emailed - Base released

Reserving S992 to n=100k (25-100k) for BOINC

The S992 base is the first base where Iam seeing only Proth RES64 entries not RES64 and OLD64. Iam a bit confused.

The stderr.txt also contains

[B]Starting Proth prime test[/B]

Never seen this before.

If anybody know why this happened tell me pls.

S814 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

Reserving S841 to n=100k (25-100k) for BOINC

Reserving S912 to n=100k (25-100k) for BOINC

S871 tested to n=100k (50-100k)

6 primes found, 22 remain

19512*871^53106+1 is prime!
15726*871^64212+1 is prime!
6472*871^69628+1 is prime!
20382*871^70537+1 is prime!
18682*871^77041+1 is prime!
7050*871^94061+1 is prime!

Results emailed - Base released

S992 tested to n=100k (25-100k)

6 primes found, 45 remain

64*992^25886+1 is prime!
185*992^26147+1 is prime!
229*992^26230+1 is prime!
151*992^52836+1 is prime!
182*992^77755+1 is prime!
295*992^93988+1 is prime!

Results emailed - Base released

Reserving S894 to n=100k (50-100k) for BOINC

[QUOTE=rebirther;397279]The S992 base is the first base where Iam seeing only Proth RES64 entries not RES64 and OLD64. Iam a bit confused.

The stderr.txt also contains

[B]Starting Proth prime test[/B]

Never seen this before.

If anybody know why this happened tell me pls.[/QUOTE]
Proth RES64's mean that a base 2 primality test was performed. Normally you only see this for base 2 Proth numbers (k*2^n+1 - we call them Sierpinski bases here in the context of conjectures), and its counterpart "LLR RES64" for base 2 Riesel numbers (k*2^n-1). However, some bases other than 2 are of a special mathematical form that allows them to be converted to base 2. For instance:

[tex]k\cdot4^n-1[/tex] (Riesel base 4 number) = [tex]k\cdot 2^{2n} -1[/tex] (equivalent Riesel base 2 number)

Powers of 2, as in the above example with base 4, are simple examples of this. Others, such as S992, have a slightly more complicated relationship to their equivalent base 2 form, but the basic idea is the same.

LLR automatically detects many of these special forms and converts the number to base 2 before doing the test. In the past, this was a huge advantage (because base 2 tests were much faster); now, the speed difference is not so huge, but I think there's still a small difference. Also, base 2 LLR/Proth tests produce a full primality proof, whereas other bases are only a PRP (probable primality) test; when a PRP is found in another base, a secondary N-1/N+1 test has to then be performed to prove that the number is actually prime. (LLR handles this automatically - that's why tests take way more than twice as long if the number turns out to be prime, because it's actually doing two tests, the second of which is much longer.)

So, long story short...that's why you're getting "Proth RES64" for S992. The numbers are being converted to base 2 and tested there. There's nothing to worry about, assuming your lresults.txt parser can handle the fact that LLR outputs the results in base 2 (not the original base). :smile:

With LLR it is necessary for k<2^n. I assume proth tests are the same. With base 992, k*992^n+1 can be rearranged as (k*31^n)*2^(5*n)+1. In many cases (k*31^n) will be less than 2^(5*n) and that is causing tests to be done as proth tests.

In terms of the speed of the calculations, if this was treated as base 2 then k would be too large and it would have to use a generic method. Using base 992 would probably be faster as k would hopefully be small enough to use a specialised method.

Thx mdettweiler and henryzz for the explanations. Looking forward :smile:

Reserving S787 to n=100k (25-100k) for BOINC

Reserving R722 to n=100k (50-100k) for BOINC

S841 tested to n=100k (25-100k)

13 primes found, 20 remain

17172*841^25396+1 is prime!
13048*841^29664+1 is prime!
3966*841^32150+1 is prime!
20022*841^36372+1 is prime!
16972*841^37229+1 is prime!
14368*841^38949+1 is prime!
22086*841^40618+1 is prime!
5572*841^40777+1 is prime!
3580*841^67127+1 is prime!
15012*841^73029+1 is prime!
3346*841^73208+1 is prime!
9822*841^75757+1 is prime!
10956*841^96215+1 is prime!

Results emailed - Base released

S894 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

S912 tested to n=100k (25-100k)

2 primes found, 14 remain

113*912^33032+1 is prime!
80*912^35967+1 is prime!

Results emailed - Base released

Reserving S654 to n=100k (50-100k) for BOINC

R722 tested to n=100k (50-100k)

1 prime found, 10 remain

19*722^65865-1 is prime!

Results emailed - Base released

Reserving S744 to n=100k (25-100k) for BOINC

S654 tested to n=100k (50-100k)

1 prime found, 5 remain

248*654^81515+1 is prime!

Results emailed - Base released

S744 tested to n=100k (25-100k)

5 primes found, 13 remain

261*744^25338+1 is prime!
206*744^48288+1 is prime!
256*744^51360+1 is prime!
251*744^55652+1 is prime!
86*744^97852+1 is prime!

Results emailed - Base released

S787 tested to n=100k (25-100k)

14 primes found, 37 remain

7360*787^29871+1 is prime!
4596*787^34953+1 is prime!
4966*787^39292+1 is prime!
936*787^40284+1 is prime!
718*787^42422+1 is prime!
5976*787^43548+1 is prime!
198*787^46620+1 is prime!
3526*787^47181+1 is prime!
7348*787^51146+1 is prime!
7108*787^63609+1 is prime!
4792*787^65520+1 is prime!
6082*787^65782+1 is prime!
6060*787^66435+1 is prime!
5068*787^78569+1 is prime!

Results emailed - Base released

Reserving S682 to n=100k (25-100k) for BOINC

Reserving S848 to n=100k (50-100k) for BOINC

Reserving R520 to n=100K (50-100k) for BOINC

S848 tested to n=100k (50-100k)

3 primes found, 11 remain

185*848^56253+1 is prime!
151*848^58196+1 is prime!
107*848^69105+1 is prime!

Results emailed - Base released

R520 tested to n=100k (50-100k)

1 prime found, 5 remain

330*520^58090-1 is prime!

Results emailed - Base released

Reserving R518 to n=100k (50-100k) for BOINC

Reserving S553 to n=100k (50-100k) for BOINC

Reserving S529 to n=100k (50-100k) for BOINC

Reserving R558 to n=100k (50-100k) for BOINC

Reserving S572 to n=100k (50-100k) for BOINC

R518 tested to n=100k (50-100k)

1 prime found, 6 remain

136*518^59529-1 is prime!

Results emailed - Base released

S553 tested to n=100k (50-100k)

2 primes found, 4 remain

1852*553^52517+1 is prime!
372*553^73872+1 is prime!

Results emailed - Base released

R920 tested to n=500k (100-500k)

2 primes found, 3 remain

82*920^262409-1 is prime!
29*920^367810-1 is prime!

Results emailed - Base released

R972 tested to n=100k (25-100k)

5 primes found, 10 k's remained

78*972^27907-1 is prime! (83379 decimal digits)
6*972^36702-1 is prime! (109655 decimal digits)
260*972^41245-1 is prime! (123229 decimal digits)
111*972^59402-1 is prime! (177476 decimal digits)
188*972^80392-1 is prime! (240187 decimal digits)

Results emailed - Base released

Reserving R927 to n=100k (25-100k) for BOINC

Is there any need for doublecheck files?

TL;DR:
Because the progress of my reservation of 242*967^n-1, n>200k, was terrible slow (longer than an hour per each n, and this after I sieved deeeeepppp deeeeep deep deep, until a factor was found every ~3500 seconds) I started a "DC", based on the idea that maybe a prime was missed, which would save me a lot of work. I went through all n's from zero to hero, first faster, then slower, and I stopped at 120k when the things were getting sensible slow and I considered that I better llr the reserved range (200k++) of n's. Currently at n~=250k. Still going slow. I have the DC files for n<120k, if they are of any use, I would sent them.

S572 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

S529 tested to n=100k (50-100k)

1 prime found, 10 remain

922*529^94889+1 is prime!

Results emailed - Base released

[QUOTE=LaurV;398606]Is there any need for doublecheck files?

TL;DR:
Because the progress of my reservation of 242*967^n-1, n>200k, was terrible slow (longer than an hour per each n, and this after I sieved deeeeepppp deeeeep deep deep, until a factor was found every ~3500 seconds) I started a "DC", based on the idea that maybe a prime was missed, which would save me a lot of work. I went through all n's from zero to hero, first faster, then slower, and I stopped at 120k when the things were getting sensible slow and I considered that I better llr the reserved range (200k++) of n's. Currently at n~=250k. Still going slow. I have the DC files for n<120k, if they are of any use, I would sent them.[/QUOTE]

Yes. If you could post the doublecheck file here, I will save it.

Reserving S973 to n=100k (25-100k) for BOINC

[QUOTE=gd_barnes;398631]Yes. If you could post the doublecheck file here, I will save it.[/QUOTE]
Log sent. (~100k zip, could not post it here).

S682 tested to n=100k (25-100k)

21 primes found, 43 remain

2947*682^28438+1
6312*682^28464+1
792*682^28758+1
2922*682^29530+1
3223*682^31037+1
1578*682^31290+1
4336*682^32001+1
5592*682^32710+1
1437*682^34336+1
364*682^35433+1
1362*682^36330+1
5202*682^40250+1
2286*682^40815+1
6772*682^51635+1
279*682^52707+1
5407*682^74947+1
477*682^77584+1
6462*682^81943+1
2626*682^84828+1
684*682^97590+1
3649*682^99570+1

Results emailed - Base released

R646
 

Reserving R646 to n=25K

R927 tested to n=100k (25-100k)

27 primes found, 48 remain

2464*927^27792-1
1974*927^28856-1
4610*927^33442-1
3876*927^34187-1
4794*927^34907-1
2786*927^36025-1
3886*927^36107-1
3432*927^36546-1
3236*927^41102-1
3544*927^42564-1
4514*927^42773-1
5556*927^43683-1
4796*927^44774-1
3254*927^55092-1
5306*927^59550-1
4914*927^61159-1
4674*927^70641-1
5184*927^72813-1
2848*927^73382-1
1028*927^74503-1
3742*927^76829-1
2844*927^79788-1
4146*927^84902-1
3664*927^95108-1
2396*927^96325-1
1846*927^96599-1
3788*927^96727-1

Results emailed - Base released

R558 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

Reserving R501 to n=100k (50-100k) for BOINC

Reserving R542, S639, and S954 to n=50K.

R501 tested to n=100k (50-100k)

1 prime found, 5k remain

552*501^73886-1

Results emailed - Base released

R646
 

R646 tested n=10K-25K

54 primes found - 139 remain

Results emailed - Base released

[COLOR=Red]S757 reserved to n=25K[/COLOR]

S973 tested to n=100k (25-100k)

20 primes found, 27k remain

6328*973^25254+1
2538*973^30179+1
7246*973^31380+1
6784*973^32675+1
6874*973^33889+1
3568*973^37067+1
5506*973^37068+1
7056*973^37492+1
8796*973^38041+1
7114*973^41067+1
2034*973^49117+1
76*973^59887+1
7050*973^62382+1
6408*973^65882+1
5286*973^75587+1
8502*973^76933+1
8178*973^77348+1
7816*973^81736+1
4254*973^85066+1
8242*973^96058+1

Results emailed - Base released

R542, S639, and S954 are complete to n=50K; 10 primes were found for n=25K-50K; primes and k's remaining shown below; bases released.

R542; 3 primes, 18 k's remaining
S639; 5 primes, 11 k's remaining
S954; 2 primes, 16 k's remaining

Primes:
55*542^29513-1
127*542^33605-1
115*542^41905-1
1336*639^36734+1
1102*639^42119+1
124*639^46587+1
316*639^47778+1
474*639^49543+1
334*954^26017+1
351*954^41442+1

S520 tested to n=400k; 1 prime found, 1 k remains.

Results emailed - Base released

I'll push S520 from 400k to 700k for the remaining k-value of 369.

S820
 

Reserving S820 n=2.5K-25K

Reserving R718 to n=100k (25-100k) for BOINC

Reserving S577 to n=100k (50-100k) for BOINC

Reserving S639 to n=100k (50-100k) for BOINC

Reserving R952 to n=100k (25-100k) for BOINC

Reserving S862 to n=100k (25-100k) for BOINC

Reserving S954 to n=100k (50-100k) for BOINC

Reserving R821 from 25K - 100K

S577 tested to n=100k (50-100k)

1 prime found, 6k remain

84*577^86565+1

Results emailed - Base released

S639 tested to n=100k (50-100k)

2 primes found, 9k remain

696*639^51672+1
1426*639^70836+1

Results emailed - Base released

Reserving R536 to n=100k (50-100k) for BOINC

R718 tested to n=100k (25-100k)

9 primes found, 22k remain

273*718^30086-1
239*718^31831-1
119*718^37456-1
491*718^45713-1
789*718^51476-1
120*718^58837-1
596*718^59239-1
645*718^70853-1
648*718^93334-1

Results emailed - Base released

S757
 

S757 tested n=10K-25K

88 primes found - 198 remain

Results emailed - Base released

[COLOR=red]Reserving R460 to n=25K[/COLOR]

Reserving S672 to n=100k (25-100k) for BOINC

Reserving R733 to n=100k (25-100k) for BOINC

R536 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

S954 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

Reserving R589 to n=100k (50-100k) for BOINC

Reserving R654 to n=100k (50-100k) for BOINC

R952 tested to n=100k (25-100k)

18 primes found, 34k remain

1415*952^27516-1
5142*952^27721-1
1679*952^27976-1
2934*952^28700-1
450*952^29196-1
5157*952^29288-1
1728*952^32275-1
423*952^35171-1
3548*952^36718-1
4689*952^38912-1
846*952^40594-1
3089*952^47700-1
2025*952^48727-1
378*952^57814-1
4245*952^64148-1
1211*952^86277-1
3576*952^88762-1
1076*952^96494-1

Results emailed - Base released

Reserving R619 to n=250k (200-250k) for BOINC

R745
 

Status update on R745.

192 k's remained at n=2,500.
46 k's remained at n=50,000.
29 k's remain at n=100,000.

Sieved up to 25T for n=100k-250k with about 200,000 candidates remaining. Continuing for now
All results so far will be emailed later today

Reserving R603 to n=100k (25-100k) for BOINC

Reserving S897 to n=100k (25-100k) for BOINC

R589 tested to n=100k (50-100k)

nothing found

Results emailed - Base released

S862 tested to n=100k (25-100k)

24 primes found, 38k remain

1705*862^26268+1
4048*862^28673+1
4146*862^34028+1
5070*862^36961+1
1977*862^37274+1
3823*862^44800+1
2577*862^45636+1
6624*862^49789+1
2991*862^50033+1
3732*862^53952+1
2823*862^56221+1
2394*862^58558+1
6337*862^63802+1
841*862^64981+1
1537*862^69935+1
2758*862^75034+1
1836*862^77709+1
5412*862^78123+1
5181*862^78665+1
3241*862^81340+1
802*862^81952+1
3846*862^83765+1
1828*862^89429+1
3808*862^98309+1

Results emailed - Base released

Reserving R711 to n=100k (25-100k) for BOINC

S672 tested to n=100k (25-100k)

17 primes found, 15k remain

3016*672^26173+1
335*672^28887+1
1664*672^29523+1
2545*672^30737+1
622*672^31263+1
1351*672^36541+1
1589*672^44842+1
2417*672^45626+1
2909*672^47495+1
778*672^48464+1
3314*672^49574+1
2729*672^50950+1
922*672^71884+1
1213*672^72193+1
242*672^86503+1
1747*672^90016+1
1018*672^92322+1

Results emailed - Base released

R733 tested to n=100k (25-100k)

9 primes found, 23k remain

1350*733^26017-1
2304*733^27007-1
642*733^29896-1
3320*733^39897-1
2154*733^44037-1
3336*733^70075-1
398*733^74646-1
1730*733^85198-1
2186*733^89077-1

Results emailed - Base released

R654 tested to n=100k (50-100k)

3 primes found, 10k remain

124*654^62210-1
136*654^67671-1
132*654^73231-1

Results emailed - Base released

Reserving R871 to n=100k (25-100k) for BOINC