Bases 501-1030 reservations/statuses/primes - Page 53

rogue · 2010-06-10, 23:22

Primes found:

Code:

3*604^2+1
4*604^1+1
6*604^4+1
7*604^1+1
9*604^1+1
10*604^3+1
12*604^17370+1
13*604^1+1
15*604^19+1
16*604^124+1
18*604^3+1
19*604^49+1

Conjecture proven.

unconnected · 2010-06-13, 07:16

R800, R888 and R900 completed to n=100K.
There is only one prime: 4*800^33837-1
Results attached, bases released.

MyDogBuster · 2010-06-13, 08:23

Sierp 516 the last k (122*516-n-1) tested n=25K-50K. Nothing found

Results attached - Base released

rogue · 2010-06-14, 21:54

Sierpinski base 542 primes found:

Code:

3*542^1+1
4*542^15982+1
5*542^1+1
6*542^1+1
7*542^8+1
8*542^1+1
9*542^51+1
10*542^12+1
11*542^4909+1
12*542^20+1
14*542^1+1
15*542^109+1
16*542^364+1
17*542^3+1
18*542^69+1
19*542^18950+1
20*542^5+1
21*542^1+1
22*542^98+1
23*542^89+1
24*542^1+1
25*542^116+1
26*542^3+1
27*542^334+1
28*542^34+1
29*542^859+1
30*542^156+1
31*542^4+1

k =2 and 13 remain at n=25000. Released.

Sierpinki base 574 primes found:

Code:

3*574^1+1
4*574^1+1
6*574^2+1
7*574^1+1
9*574^1+1
10*574^1+1
12*574^3+1
13*574^6+1
15*574^110+1
18*574^1+1
19*574^3+1
21*574^2+1
22*574^3+1

k=16 remains at n=25000. Released.

Riesel base 620 primes found:

Code:

2*620^2-1
3*620^2-1
4*620^1773-1
5*620^4-1
6*620^1-1
7*620^1-1
8*620^10-1
9*620^9-1
10*620^1-1
11*620^1434-1
12*620^6-1
13*620^1-1
14*620^2-1
15*620^562-1
16*620^11-1
17*620^2-1
18*620^1-1
19*620^1-1
21*620^39-1

k=20 remains at n=25000. Released.

Sierpinski base 620 primes found:

Code:

2*620^13+1
3*620^1+1
4*620^18+1
5*620^41+1
6*620^4+1
7*620^6+1
8*620^5+1
9*620^1+1
10*620^138+1
11*620^53+1
14*620^1+1
15*620^3+1
16*620^54+1
17*620^91+1
18*620^1+1
19*620^12+1
20*620^1+1
21*620^3+1

k=12 and 13 remain at n=25000. Released.

rogue · 2010-06-14, 22:02

Sierpinski base 636 primes found:

Code:

2*636^2+1
3*636^141+1
5*636^1+1
6*636^3+1
7*636^11+1
8*636^8+1
10*636^1+1
11*636^1+1
12*636^3+1
13*636^1+1
15*636^9850+1
16*636^1+1
17*636^2+1
18*636^5+1
20*636^1+1
21*636^8+1
22*636^2+1
23*636^1+1
25*636^1+1
26*636^4+1

Proven.

Sierpinski base 643 primes found:

Code:

4*643^5+1
10*643^42+1
12*643^1+1
16*643^1+1
18*643^3+1

k=6 remains at n=25000. Released.

Sierpinski base 665 primes found:

Code:

2*665^45+1
4*665^1334+1
6*665^2+1
8*665^5+1
10*665^6+1
12*665^2+1
14*665^1+1
16*665^4+1
18*665^1+1
20*665^61+1
22*665^28+1
24*665^2+1
26*665^1+1
28*665^6+1
30*665^2+1
32*665^33+1
34*665^4+1
36*665^5749+1

Proven.

Riesel base 668 primes found:

Code:

2*668^486-1
3*668^1-1
4*668^1-1
5*668^330-1
6*668^1-1
7*668^67-1
8*668^4-1
9*668^1-1
10*668^1-1
12*668^59-1
13*668^41-1

k=11 remains at n=25000. Released.

Sierpinski base 683 primes found:

Code:

2*683^1+1
4*683^2+1
6*683^1+1
8*683^91+1
12*683^5+1
14*683^25+1
16*683^84+1

k=18 remains at n=25000. Released.

Riesel base 695 primes found:

Code:

2*695^10-1
4*695^149-1
6*695^384-1
8*695^4-1
10*695^1-1
12*695^7-1
14*695^9970-1
16*695^1-1
18*695^2-1
20*695^8-1
22*695^1-1
24*695^2-1

k=26 remains at n=25000. Released

rogue · 2010-06-15, 00:20

Sierpinski base 702 primes found:

Code:

2*702^3+1
3*702^2+1
4*702^9+1
5*702^1+1
6*702^1228+1
7*702^87+1
8*702^4+1
9*702^2+1
10*702^8+1
11*702^1+1
12*702^12+1
13*702^1+1
14*702^1+1
15*702^1+1
16*702^4+1
17*702^8+1
18*702^1+1
19*702^1+1
20*702^2+1
21*702^21+1
22*702^8+1
23*702^2+1
24*702^2+1
25*702^1+1
26*702^1+1
27*702^2+1
28*702^2+1
29*702^1+1
30*702^1+1
31*702^33+1
32*702^68+1
33*702^1+1
34*702^1+1
35*702^1+1
36*702^3+1
37*702^63+1
38*702^2+1
40*702^1+1
41*702^4+1
42*702^62+1
43*702^1+1
44*702^2+1
45*702^2+1
46*702^8+1
47*702^1422+1
48*702^2+1
49*702^15+1
50*702^13+1
51*702^1+1
52*702^3+1
53*702^25+1
54*702^307+1
55*702^1+1
56*702^1+1
57*702^72+1
58*702^2+1
59*702^17+1
60*702^2+1
61*702^408+1
62*702^1087+1
63*702^4+1
64*702^5+1
65*702^1+1
66*702^5+1
67*702^8+1
68*702^1+1
69*702^5+1
70*702^13+1
71*702^1+1
72*702^388+1
73*702^5+1
74*702^1+1

k=39 remains at n=25000. Released

Sierpinski base 743 primes found:

Code:

2*743^1+1
4*743^246+1
8*743^71+1
12*743^2+1
14*743^10449+1
16*743^4+1
18*743^6+1
22*743^12+1
24*743^42+1
26*743^1+1
28*743^2+1
30*743^1+1

k=10 remains at n=25000. Released.

Sierpinski base 747 primes found:

Code:

2*747^4+1
4*747^2+1
6*747^1+1
8*747^2+1
10*747^13+1
12*747^118+1
14*747^1+1
16*747^1+1
18*747^4+1
20*747^2+1
22*747^3560+1
24*747^1+1
26*747^1+1
28*747^2+1
30*747^2+1

Proven.

Riesel base 782 primes found:

Code:

2*782^4-1
3*782^3-1
4*782^3-1
5*782^2-1
6*782^1-1
7*782^1685-1
8*782^8-1
9*782^3-1
10*782^3-1
11*782^2-1
13*782^11-1
15*782^7-1
16*782^1-1
17*782^4-1
18*782^510-1
19*782^3-1
20*782^16-1
21*782^1-1
22*782^1-1
24*782^3-1
25*782^3-1
26*782^2-1
27*782^4-1

k=14 remains at n=25000. Released.

rogue · 2010-06-15, 00:25

Riesel base 815 primes found:

Code:

2*815^2-1
4*815^1-1
6*815^1-1
10*815^3-1
14*815^470-1

k=8 remains at n=25000. Released.

Riesel base 836 primes found:

Code:

2*836^330-1
3*836^2-1
4*836^1-1
5*836^56-1
7*836^1-1
9*836^1-1
10*836^21-1
12*836^11-1
13*836^1-1
14*836^2-1
15*836^1-1
17*836^10-1
18*836^214-1
19*836^3-1
20*836^38-1
22*836^5-1
23*836^350-1
24*836^1-1
25*836^1-1
27*836^1-1
28*836^213-1
29*836^2-1
30*836^8-1

k=8 remains at n=25000. Released.

Sierpinski base 846 primes found:

Code:

2*846^1+1
3*846^1+1
5*846^1+1
6*846^1+1
7*846^1+1
8*846^2+1
10*846^1+1
11*846^88+1
13*846^3+1
15*846^408+1
16*846^1+1
17*846^5+1
18*846^13+1
20*846^1+1
21*846^13+1
22*846^8+1
23*846^6+1
26*846^1+1
27*846^3371+1
28*846^1+1
30*846^2+1
31*846^1+1
32*846^1+1
33*846^1+1
35*846^1+1
36*846^2+1
37*846^3+1
40*846^2+1
41*846^1+1
42*846^1+1

Proven.

Sierpinski base 879 primes found:

Code:

2*879^1+1
4*879^1+1
6*879^2+1
8*879^4+1
12*879^2+1
14*879^167+1
16*879^2+1
18*879^1+1
20*879^1+1
22*879^6+1
24*879^1183+1
26*879^24+1
28*879^4+1
30*879^1+1
32*879^4617+1

k=10 remains at n=25000. Released.

rogue · 2010-06-15, 00:34

Sierspinki base 893 primes found:

Code:

2*893^1+1
4*893^10+1
6*893^7+1
10*893^12+1
12*893^8+1
14*893^1+1
16*893^20+1
18*893^2+1
22*893^2+1
24*893^1+1
26*893^519+1
28*893^2+1
30*893^7+1

k=8 and 20 remain at n=25000. Released.

Sierpinski base 898 primes found:

Code:

3*898^6+1
4*898^1+1
6*898^29+1
7*898^1+1
9*898^15+1
10*898^2+1
13*898^35+1
15*898^3+1
16*898^1+1
18*898^2+1
19*898^165+1
21*898^1+1
24*898^30+1
27*898^1+1

k=28 remains at n=25000. Released.

Sierpinski base 919 primes found:

Code:

4*919^1+1
6*919^5092+1
10*919^8+1
18*919^386+1
22*919^1+1

k=12 remains at n=25000. Released.

Sierpinski base 924 primes found:

Code:

2*924^4+1
3*924^3+1
4*924^1+1
5*924^1+1
6*924^10+1
7*924^1+1
8*924^1+1
9*924^1+1
10*924^1+1
11*924^2+1
13*924^9+1
14*924^8031+1
15*924^2+1
16*924^386+1
17*924^2+1
18*924^1+1
19*924^19+1
20*924^1+1
21*924^10+1
22*924^4+1
23*924^43+1
24*924^49+1
26*924^14+1
27*924^5+1
28*924^1+1
29*924^15+1
30*924^4+1
31*924^4+1
32*924^1+1
33*924^1+1
34*924^7+1
35*924^1+1

Proven.

Sierpinski base 930 primes found:

Code:

2*930^1+1
3*930^1+1
4*930^2+1
5*930^1+1
6*930^1+1
7*930^217+1
9*930^24+1
10*930^2+1
11*930^7+1
12*930^1+1
13*930^207+1
14*930^7+1
15*930^12+1
16*930^3+1
17*930^2+1
18*930^1+1
19*930^3+1

k=8 remains at n=25000. Released.

Sierpinski base 993 primes found:

Code:

2*993^1+1
4*993^39+1
10*993^1+1
12*993^2+1
14*993^1+1
16*993^1+1
18*993^3+1
20*993^1+1
22*993^8+1
24*993^1+1
26*993^1+1
28*993^104+1
32*993^13+1

k=6, 8, and 34 remain at n=25000. Released.

If I've kept track of my reservations correctly, I only have S887, S948, and S998 remaining for these small conjectures.

paleseptember · 2010-06-15, 02:32

Nice work rogue! I'm in awe at the work that you're putting in. You're putting my efforts with R603 (currently at ~19K) and S928 (at 12.8K) to shame!

MyDogBuster · 2010-06-15, 04:30

Quote:

If I've kept track of my reservations correctly, I only have S887, S948, and S998 remaining for these small conjectures.

That's what I show also. I did get an extra one in S702. I didn't see a reservation for it but it may be there. I'll process it.

gd_barnes · 2010-06-15, 06:33

S647 is complete to n=25K; 2 primes found for n=5K-25K; 4 k's remaining; largest prime 58*647^22212+1; base released.

2010-06-10, 23:22	#573
rogue "Mark" Apr 2003 Between here and the 2²·7·227 Posts	Sierpinski base 604 Primes found: Code: 3604^2+1 4604^1+1 6604^4+1 7604^1+1 9604^1+1 10604^3+1 12604^17370+1 13604^1+1 15604^19+1 16604^124+1 18604^3+1 19604^49+1 Conjecture proven.

2010-06-13, 08:23	#575
MyDogBuster May 2008 Wilmington, DE 5444₈ Posts	Sierp 516 Sierp 516 the last k (122516-n-1) tested n=25K-50K. Nothing found Results attached - Base released Last fiddled with by MyDogBuster on 2014-09-02 at 09:15*

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2010-06-15, 02:32	#581
paleseptember Jun 2008 Wollongong, .au 267₈ Posts	Nice work rogue! I'm in awe at the work that you're putting in. You're putting my efforts with R603 (currently at ~19K) and S928 (at 12.8K) to shame!

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