Proth numbers k•2n+1 where k-value is a multiple of 3.
The column "Index" contains the index of the k-value: [math]\displaystyle{ Index\ =\ {k\ +\ 3 \over 6} }[/math]
See also
Table
There are 89 sequences in this Wiki:
| k |
Index |
Count |
Nash |
Max n
|
| 3 |
1 |
50 |
2132 |
22021811
|
| 9 |
2 |
66 |
2297 |
5570000
|
| 15 |
3 |
65 |
2873 |
9000000
|
| 21 |
4 |
48 |
2374 |
9000000
|
| 27 |
5 |
49 |
2142 |
10000000
|
| 33 |
6 |
41 |
1960 |
9000000
|
| 39 |
7 |
88 |
3219 |
9000000
|
| 45 |
8 |
57 |
2581 |
9000000
|
| 51 |
9 |
63 |
3076 |
5570000
|
| 63 |
11 |
71 |
3116 |
5570000
|
| 93 |
16 |
67 |
3116 |
5570000
|
| 129 |
22 |
39 |
2357 |
5570000
|
| 165 |
28 |
110 |
5158 |
5570000
|
| 177 |
30 |
77 |
3473 |
5570000
|
| 207 |
35 |
69 |
3570 |
5570000
|
| 255 |
43 |
67 |
2629 |
5570000
|
| 261 |
44 |
96 |
4016 |
5570000
|
| 297 |
50 |
36 |
1682 |
5000000
|
| 345 |
58 |
92 |
4308 |
5000000
|
| 417 |
70 |
81 |
3454 |
4500000
|
| 435 |
73 |
95 |
4603 |
4500000
|
| 453 |
76 |
55 |
2586 |
4500000
|
| 513 |
86 |
62 |
2665 |
4500000
|
| 555 |
93 |
102 |
4497 |
4500000
|
| 579 |
97 |
32 |
1918 |
4000000
|
| 615 |
103 |
64 |
2908 |
4000000
|
| 639 |
107 |
85 |
3560 |
4000000
|
| 699 |
117 |
49 |
1894 |
4000000
|
| 759 |
127 |
39 |
2127 |
3640000
|
| 765 |
128 |
87 |
4734 |
3640000
|
| 789 |
132 |
45 |
2515 |
3640000
|
| 801 |
134 |
32 |
1434 |
3640000
|
| 831 |
139 |
33 |
2035 |
3640000
|
| 915 |
153 |
54 |
2802 |
3640000
|
| 933 |
156 |
76 |
3148 |
3640000
|
| 1023 |
171 |
83 |
3931 |
3640000
|
| 1065 |
178 |
80 |
4065 |
3640000
|
| 1071 |
179 |
67 |
3090 |
3640000
|
| 1149 |
192 |
38 |
2261 |
3640000
|
| 1323 |
221 |
73 |
3226 |
2000000
|
| 1461 |
244 |
32 |
1347 |
2000000
|
| 1479 |
247 |
55 |
3237 |
2000000
|
| 1575 |
263 |
72 |
4003 |
2000000
|
| 2187 |
365 |
41 |
2141 |
2000000
|
| 2379 |
397 |
29 |
1696 |
2000000
|
| 2943 |
491 |
22 |
1135 |
2000000
|
| 3207 |
535 |
59 |
2518 |
2000000
|
| 3267 |
545 |
40 |
2071 |
2000000
|
| 3375 |
563 |
48 |
2702 |
3486000
|
| 3777 |
630 |
61 |
3246 |
2000000
|
| 4119 |
687 |
23 |
1352 |
2000000
|
| 4665 |
778 |
55 |
2280 |
2000000
|
| 5193 |
866 |
54 |
2405 |
2000000
|
| 5307 |
885 |
58 |
3348 |
2000000
|
| 5505 |
918 |
57 |
3173 |
2000000
|
| 5703 |
951 |
19 |
851 |
2000000
|
| 5823 |
971 |
39 |
2254 |
2000000
|
| 6219 |
1037 |
39 |
1826 |
2000000
|
| 6807 |
1135 |
32 |
1805 |
2000000
|
| 6843 |
1141 |
36 |
2407 |
2000000
|
| 7233 |
1206 |
43 |
2694 |
2000000
|
| 8139 |
1357 |
29 |
1062 |
2000000
|
| 9267 |
1545 |
10 |
498 |
2000000
|
| 9609 |
1602 |
34 |
2106 |
2000000
|
| 9777 |
1630 |
22 |
1485 |
2000000
|
| 12321 |
2054 |
46 |
2495 |
300000
|
| 15735 |
2623 |
35 |
2954 |
50000
|
| 19683 |
3281 |
32 |
1802 |
4000000
|
| 23451 |
3909 |
17 |
1223 |
100000
|
| 32247 |
5375 |
23 |
1736 |
100000
|
| 42717 |
7120 |
7 |
893 |
100000
|
| 48495 |
8083 |
51 |
3088 |
1200000
|
| 53133 |
8856 |
18 |
1475 |
50000
|
| 60357 |
10060 |
34 |
2209 |
100000
|
| 60849 |
10142 |
22 |
1368 |
100000
|
| 66741 |
11124 |
9 |
811 |
50000
|
| 67275 |
11213 |
25 |
3481 |
1000
|
| 84363 |
14061 |
28 |
1624 |
100000
|
| 85287 |
14215 |
20 |
1630 |
100000
|
| 95283 |
15881 |
27 |
1489 |
50000
|
| 1089927 |
181655 |
27 |
1888 |
1000000
|
| 2441205 |
406868 |
106 |
6132 |
500000
|
| 84966861 |
14161144 |
30 |
2140 |
150000
|
| 314159265 |
52359878 |
57 |
466 |
314159
|
| 577294575 |
96215763 |
144 |
6655 |
50000
|
| 2003663613 |
333943936 |
39 |
2762 |
195000
|
| 1527888802614951 |
254648133769159 |
28 |
2929 |
10000
|
| 32268186233370440249391495 |
-3.6641581263172E+17 |
177 |
7953 |
340000
|
| 945561887392230553579269135 |
-1.1482867194984E+18 |
169 |
8431 |
600000
|
