Bases 501-1030 reservations/statuses/primes

[unconnected]

Sierp base 999, CK=3224.

Primes attached.
89 k's remain.

Base completed to n=25K and released.

[MyDogBuster]

Sierp 605 the last k (70*605-n+1) tested n=25K-50K. Nothing found

Results attached - Base released

[paleseptember]

Completed n=12-13K

17 Primes:

27658*928^12002+1
15306*928^12039+1
14166*928^12216+1
21486*928^12267+1
12481*928^12276+1
9609*928^12347+1
11710*928^12430+1
23583*928^12471+1
10821*928^12568+1
23713*928^12572+1
469*928^12607+1
16635*928^12624+1
9048*928^12712+1
2263*928^12748+1
15516*928^12860+1
7668*928^12870+1
292*928^12969+1

631 k-values remaining. Continuing.

[rogue]

Riesel base 665 primes found:

2*665^12-1
4*665^1-1
6*665^1-1
10*665^7-1
12*665^3-1
14*665^1702-1
16*665^1-1
18*665^1-1
20*665^2-1
22*665^1-1
24*665^1-1
26*665^16-1
28*665^3-1
30*665^1-1
32*665^2-1
34*665^59-1

k=8 and 36 reman at n=25000. Released.

Riesel base 746 primes found:

2*746^62-1
3*746^1-1
4*746^81-1
5*746^4-1
7*746^5-1
8*746^4-1
9*746^3-1
10*746^1-1
12*746^1-1
13*746^1-1
15*746^40-1
17*746^4-1
18*746^405-1
19*746^1-1
22*746^1-1
23*746^2-1
24*746^1-1
27*746^2-1
28*746^1-1
29*746^284-1
30*746^444-1
32*746^6-1
33*746^10-1

k=14, 20, 25 remain at n=25000. Released.

Sierpinski base 887 primes found:

4*887^2+1
6*887^1+1
8*887^5+1
10*887^12+1
12*887^13960+1
14*887^7+1
18*887^2+1
20*887^545+1
22*887^1008+1
24*887^2687+1
26*887^1+1
28*887^6+1
30*887^123+1
32*887^3+1
36*887^1243+1

k=2, 16, and 34 remain at n=25000. Released.

Sierpinski base 948 primes found:

2*948^1242+1
3*948^3+1
4*948^1+1
5*948^18+1
6*948^1+1
7*948^1+1
8*948^11+1
9*948^194+1
10*948^79+1
11*948^1+1
12*948^69+1
13*948^3+1
14*948^14+1
15*948^1+1
16*948^2193+1
17*948^97+1
18*948^4+1
19*948^1+1
20*948^2+1
21*948^4+1
22*948^1+1
23*948^6+1
24*948^9+1
25*948^3+1
26*948^19+1
27*948^196+1
28*948^358+1
29*948^2+1
30*948^6+1
31*948^1+1
32*948^26+1
33*948^54+1
34*948^1+1
35*948^1+1
36*948^1+1
37*948^2+1

Proven.

[rogue]

Sierpinski base 920 primes found:

2*920^221+1
3*920^3+1
5*920^15+1
6*920^1+1
7*920^490+1
9*920^2+1
10*920^4+1
11*920^3+1
12*920^8+1
15*920^4+1
16*920^6+1
17*920^1+1
18*920^1+1
19*920^2+1
20*920^1+1
21*920^6+1
22*920^40+1
23*920^191+1
24*920^4+1
25*920^2+1
26*920^23+1
27*920^1+1
28*920^2+1
29*920^1+1
30*920^9+1
31*920^6+1
32*920^5493+1
33*920^2+1
34*920^8+1
35*920^83+1
36*920^24+1
37*920^226+1
38*920^1+1
39*920^12+1
40*920^2+1
41*920^93+1
42*920^3+1
44*920^9+1
45*920^4+1
46*920^1254+1
47*920^65+1
48*920^3+1
49*920^4+1
50*920^5+1
51*920^2+1
52*920^88+1
53*920^1+1
54*920^1+1
55*920^4+1
56*920^1+1
57*920^6+1
58*920^2+1
59*920^75+1
60*920^1+1
61*920^9644+1
62*920^1+1
63*920^11+1
65*920^111+1
66*920^43+1
67*920^2+1
69*920^770+1
70*920^2+1
71*920^71+1
72*920^60+1
73*920^5802+1
74*920^3+1
75*920^1+1
76*920^686+1
77*920^1+1
78*920^1+1
80*920^13+1
81*920^1+1
83*920^3+1
84*920^9+1
85*920^2+1
86*920^5+1
87*920^45+1
88*920^24+1
89*920^51+1
90*920^16+1
91*920^6+1
92*920^241+1
93*920^4+1
94*920^46+1
95*920^183+1
96*920^1+1
97*920^74+1
98*920^323+1
99*920^1+1
100*920^4+1
101*920^1+1
102*920^354+1

k=4, 8, 13, 14, 43, 64, 68, 79, 82 remain at n=25000. Released.

Sierpinski base 998 primes found:

2*998^1+1
3*998^87+1
4*998^14+1
5*998^3+1
6*998^19+1
7*998^2+1
9*998^74+1
10*998^88+1
11*998^1+1
13*998^160+1
14*998^5+1
15*998^3+1
16*998^1092+1
17*998^321+1
18*998^2+1
19*998^6+1
20*998^1+1
21*998^1+1
22*998^6+1
23*998^3+1
24*998^591+1
25*998^2+1
26*998^9+1
27*998^1+1
28*998^106+1
29*998^3+1
30*998^1205+1
31*998^268+1
32*998^29+1
33*998^24+1
34*998^9454+1
35*998^3+1
36*998^3+1
37*998^40+1

k=8 and 12 remain at n=25000. Released

[MyDogBuster]

Mark, On R665, k=36 is eliminated due to partial algebraic factors. Even n, square of 6, odd n by factor 37. Oh joy, that leaves another 1ker. LOL

Ian

[rogue]

Originally Posted by MyDogBuster

Mark, On R665, k=36 is eliminated due to partial algebraic factors. Even n, square of 6, odd n by factor 37. Oh joy, that leaves another 1ker. LOL

I forgot about that. It was the only one I've seen on all of these small k conjectures that I've been doing. Thanks for the catch.

[Flatlander]

Originally Posted by MyDogBuster

Mark, On R665, k=36 is eliminated due to partial algebraic factors. Even n, square of 6, odd n by factor 37. Oh joy, that leaves another 1ker. LOL

Ian

Maybe sometime in the future we could have a rally for a few days where we all switch over to/put emphasize on 1ker work? (Even though I know Gary loves the little darlings. )
Probably only knock off a small percentage though.

[rogue]

Originally Posted by Flatlander

Maybe sometime in the future we could have a rally for a few days where we all switch over to/put emphasize on 1ker work? (Even though I know Gary loves the little darlings. )
Probably only knock off a small percentage though.

It has already been suggested that a public PRPNet server be set up. The sieving effort would need to be coordinated. Right now I'm on a mission to knock off all conjectures with k < 100 because those conjectures are going to add a number of new single k remaining conjectures to the list.

[MyDogBuster]

Reserving the following 1ker's to n=50K

2*752^n+1
8*758^n+1
370*781^n+1

[Mathew]

R998 is complete to n=25K

CK=38

4 k's remain k=5,22,29,30

k=36 removed by partial algebraic factors:

showing work

factor (998+1)=factor (999)=3³*37

Then from Factors list. Notice a factor of 37 removes 6² = 36 remove

Attached are the results