[QUOTE=gd_barnes;283769]If so, there's no way to know if that is fast with those 6 cores without knowing how many k's are being sieved at once. If it's one k, that's not particularly fast.[/QUOTE]

[U]That makes no sense[/U] when k is set as a constant and you sieve away the exponents, n.

It obviously is one k, k = 25790513410853719562625473025.

Well since akruppa threatened to ban me for two months for mentioning my 5.0 Ghz i5-2500K and 5.1 Ghz i5-2500K computers in a post, saying that if I mentioned them again I will be banned, I guess you guys won't see me on here anymore.

I have better things to do that use my spare cycles for hunting primes.

Enjoy being ruled by a Nazi like him if this is the case.

And akruppa: get a life!

Good gawd. I can see why he was banned.

Back to Kabul from London and Kathmandu. Power cuts meant that my work whilst I was away was seriously curtailed.

Anyway, some new absolute records:

24 48 115534069991891 R 52 - so the 50% record is improved, the 66.7% record is 17/23, the 33.3% record is held at 35/101, the 25% record at 42/160, the 20% record at 47/230, the 16.7% record at 53/304, the 14.28% record at 57/389, the 12.5% record at 59/466, the 11.1% record is at 63/569 and the 10% record 66/612. Oh, and the 5% record 83/1597. The 1% record is 121/9793
47 230 118003743277061 R 52
48 241 118003743277061 R 52
49 265 118003743277061 R 52

M52 now has 65 non shared Riesel records.

Gosh its gone a bit quiet around here.

Not many records, as I swapped from looking at E52 to looking at E82.

However, the following to report as I have also been running up some earlier candidates up to higher levels.

Absolute record:

141 42070 67839830084211 R 60

Riesel record:

140 41892 67839830084211 R 60

This candidate did some extraordinary things in the early 40000's

67839830084211*3*5*11*13*19*29*37*53*59*61*2^41885-1
67839830084211*3*5*11*13*19*29*37*53*59*61*2^41886-1
67839830084211*3*5*11*13*19*29*37*53*59*61*2^41892-1
67839830084211*3*5*11*13*19*29*37*53*59*61*2^42070-1

all prime. Nice quartet.

The CC2 is the largest I have personally found.

Stay tuned...

I just found a new top E66 sequence:
S 38509279982485 66 100/5204 118/10000 [B]134/20000[/B]

For the Sierpinski side that's an improvement of 6 additional primes at the n=20k level!

Will report an updated recordtable and some more stuff tomorrow...

Wow! Hugely impressive.

After you send the updated records file, I shall report the best on both sides.

Well, meanwhile the initial euphoria is gone.

The sequence continued to produce primes until an amazing [B]138/21915[/B], but then it lost it's pace and it follows an almost 10K gap: 139/31319. What a shame...

Nevertheless, I continued to n=50k, and with 145/46944 it still beats any other known Sierpinski sequence by at least one prime.

Here is the relevant part of the recordtable:

134 19198 38509279982485 S 66
135 20318 38509279982485 S 66
136 20386 38509279982485 S 66
137 20945 38509279982485 S 66
138 21915 38509279982485 S 66
139 31319 38509279982485 S 66
140 32074 38509279982485 S 66
141 32695 38509279982485 S 66
142 37385 38509279982485 S 66
143 37622 38509279982485 S 66
144 39501 38509279982485 S 66
145 46844 38509279982485 S 66

Also noteworthy is the S178 sequence (y=1800486885279425) I found earlier.
It produced 15 primes in the 20-30K interval (where the above mentioned S66 sequence had only 4 primes), reaching an impressive 131/28954 and therefore practically outpacing all other E>=130 sequences.

For convenience I made a table analogous to yours.

These are the current Sierpinski records:
[CODE] Best M52 M58 M60 M66 M82 M100 M106 M130 M138 M148 M162 M172 M178 M180 M196 M210 M226
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 10
4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 7 18
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 11 10 27
6 6 6 6 6 6 6 6 6 6 6 6 7 9 7 10 14 15 37
7 7 7 7 7 7 7 7 7 7 7 7 9 11 10 15 24 34 48
8 8 8 8 8 8 8 8 8 9 10 9 12 14 15 19 31 47 57
9 9 9 9 9 9 9 10 10 11 12 13 15 15 16 27 33 57 68
10 10 10 10 10 10 11 11 11 12 14 14 20 23 25 32 45 66 69
11 11 11 12 11 12 13 14 14 15 15 17 24 28 28 36 50 68 70
12 13 13 13 13 14 15 15 16 16 16 21 25 30 32 44 55 93 79
13 14 14 15 14 15 19 17 17 20 17 23 26 33 39 50 74 95
14 15 16 17 15 20 21 19 21 23 27 31 32 44 46 59 76
15 19 20 19 21 22 23 22 24 28 31 33 36 50 47 67 84
16 22 22 22 24 25 27 30 29 32 36 35 40 55 56 69 93
17 25 25 25 27 26 30 33 30 38 40 45 48 59 60 76 100
18 28 28 30 31 34 32 38 35 39 41 46 51 70 79 88 172
19 29 29 31 36 35 38 41 39 41 46 53 62 71 87 99 188
20 32 34 32 40 39 41 47 48 49 50 57 65 74 91 111 190
21 33 35 33 43 43 44 49 55 53 56 65 68 86 99 112 212
22 35 36 35 44 49 47 50 60 57 61 69 91 91 107 117 226
23 38 44 38 51 53 55 58 61 66 68 73 92 94 115 138 229
24 47 47 49 54 57 58 69 62 69 81 85 111 105 119 156 235
25 50 50 53 61 64 63 73 65 81 98 94 122 128 129 172 303
26 57 57 59 66 70 70 77 76 91 104 98 125 137 139 192 328
27 64 66 64 74 74 73 87 84 95 109 101 139 149 150 199 364
28 72 76 72 79 75 79 93 96 110 112 118 149 155 156 217 370
29 78 78 80 82 81 82 102 102 118 118 123 152 170 165 219 376
30 80 80 83 93 91 92 109 112 123 145 131 168 187 180 220 402
31 84 85 84 102 101 99 118 119 138 150 158 176 193 184 230 416
32 85 92 85 108 111 109 128 130 149 168 159 192 197 202 236 423
33 96 96 98 111 114 115 135 138 156 178 175 193 201 246 238 426
34 99 99 104 119 125 119 143 141 157 179 186 237 243 253 240 430
35 102 102 106 121 137 125 158 168 173 194 197 238 248 262 255 460
36 109 109 128 128 141 130 164 184 182 200 203 261 255 291 323 490
37 120 120 133 141 149 155 165 189 190 217 206 269 277 292 353 523
38 133 133 149 142 159 178 189 195 196 233 212 281 307 304 371 537
39 142 142 150 143 164 186 190 196 208 263 245 298 323 312 426 756
40 154 160 154 166 194 193 207 207 219 273 255 346 352 389 440 817
41 158 172 158 167 200 199 229 233 223 279 257 357 356 394 469 842
42 173 173 175 173 204 214 243 247 238 313 279 380 364 413 482 862
43 174 174 188 185 208 225 258 269 260 324 283 392 394 421 487 866
44 180 180 197 199 222 245 261 274 267 328 288 405 461 436 503 938
45 186 186 207 211 235 257 284 297 282 355 299 418 464 448 543 1038
46 194 194 224 234 248 261 306 308 313 359 330 439 511 480 555 1065
47 196 196 236 270 272 281 307 326 348 368 384 529 520 492 565 1068
48 261 261 268 271 305 287 324 332 369 393 405 532 594 494 581 1138
49 268 268 283 288 310 293 330 333 402 411 450 569 667 567 624 1302
50 270 270 288 292 335 294 332 343 406 419 487 582 698 573 726 1460
51 272 272 330 308 352 323 352 351 434 445 507 587 705 583 812 1509
52 302 302 353 323 364 338 430 438 456 466 553 649 717 594 848 1545
53 304 304 368 361 400 374 446 479 513 485 567 703 753 643 856 1563
54 308 308 402 412 403 386 462 503 538 532 621 760 762 663 873 1948
55 327 327 423 441 406 406 481 535 554 572 625 792 777 707 932 2020
56 331 331 430 475 461 437 512 552 565 629 669 843 822 812 1065 2035
57 410 410 459 503 495 440 547 567 582 654 676 846 979 835 1138 2082
58 417 417 487 507 515 533 565 576 584 730 706 950 1001 852 1140 2110
59 428 428 519 520 522 534 576 656 614 788 760 968 1060 882 1368 2493
60 479 479 523 565 556 548 610 682 639 823 804 982 1142 1024 1400 2959
61 533 533 547 584 582 552 617 688 641 909 822 1100 1245 1033 1417 3185
62 551 552 551 660 662 563 669 730 814 925 906 1138 1356 1155 1435 3482
63 569 569 580 678 671 587 690 785 841 966 970 1244 1426 1238 1583 4005
64 616 640 616 725 724 677 692 828 878 1029 1037 1271 1473 1264 1647 4130
65 635 718 635 776 731 727 701 852 906 1071 1069 1274 1554 1287 1664 4605
66 709 751 709 809 821 802 819 863 907 1090 1095 1327 1594 1430 1706 5003
67 732 785 732 838 868 886 854 874 1039 1149 1189 1419 1666 1480 2162 5509
68 738 844 738 848 931 915 875 905 1095 1189 1267 1500 1736 1497 2195 6295
69 769 863 769 921 947 965 923 910 1247 1224 1312 1702 1757 1531 2198 6436
70 810 908 810 968 972 971 988 950 1283 1389 1498 1740 1882 1565 2441 6481
[/CODE]

[CODE] Best M52 M58 M60 M66 M82 M100 M106 M130 M138 M148 M162 M172 M178 M180 M196 M210 M226
71 916 916 939 986 1001 981 1019 1053 1317 1424 1570 1774 2029 1625 2541 6626
72 944 944 1025 1025 1003 1048 1059 1173 1425 1525 1592 1910 2374 1650 2575 6716
73 951 951 1116 1048 1044 1084 1122 1215 1500 1692 1661 1998 2466 1723 2815 7344
74 1034 1034 1154 1079 1079 1174 1166 1259 1575 1698 1699 2075 2591 1789 2846 7572
75 1145 1145 1182 1220 1268 1251 1172 1269 1634 1804 1833 2083 2635 1834 2851 8106
76 1208 1208 1237 1225 1350 1265 1259 1429 1722 1916 1882 2199 2801 1978 3040 9010
77 1229 1229 1377 1311 1383 1348 1278 1552 1749 2018 1918 2258 3047 2082 3071 9295
78 1332 1344 1463 1370 1461 1422 1332 1577 1771 2192 2199 2495 3184 2272 3416 9576
79 1456 1504 1574 1456 1463 1545 1642 1632 1840 2379 2295 2590 3441 2477 3888 9628
80 1487 1508 1630 1568 1487 1671 1744 1683 1856 2604 2333 2678 3457 2577 4308 9679
81 1565 1565 1759 1810 1663 1714 1843 1716 1953 2692 2537 2680 3648 2846 4583
82 1602 1602 1806 1849 1763 1938 1878 1919 1993 2755 2710 2798 3996 2920 5315
83 1662 1662 1842 1987 1799 1976 1907 2038 2070 2888 2867 3022 4315 3036
84 1691 1691 1847 2030 1974 2098 1909 2131 2176 3029 3019 3136 4604 3236
85 1769 1769 2146 2265 2058 2249 1915 2170 2310 3176 3023 3323 4687 3412
86 1861 1861 2245 2348 2108 2367 1981 2271 2519 3229 3175 3562 4846 3433
87 1880 1880 2277 2424 2174 2376 1984 2543 2653 3237 3188 3569 5103 3500
88 1892 1892 2664 2514 2214 2437 2399 2606 2717 3257 3256 3778 5511 3826
89 1946 1946 2674 2588 2318 2708 2414 2762 3135 3933 3263 3945 5628 3938
90 1951 1951 2815 2831 2452 2782 2472 2822 3274 4058 3373 4623 5992 3948
91 1971 1971 2954 2888 2558 2844 2498 3065 3590 4061 3399 4703 6808 3991
92 2044 2044 3245 3060 2615 3320 3130 3298 3762 4222 3525 4914 6971 4265
93 2130 2130 3250 3068 2628 3434 3374 3537 3899 4323 4041 5329 6985 4749
94 2150 2150 3321 3140 2772 3452 3574 3770 3909 4641 4462 5381 8291 5117
95 2227 2227 3361 3285 2829 3454 3639 4207 4350 5117 4521 5656 8382 5259
96 2328 2328 3751 3538 2847 3515 3949 4310 5047 5167 4686 6336 9103 5445
97 2393 2393 3897 3601 3241 3558 4000 4312 5124 5406 5488 6578 9758 5907
98 3028 3028 4085 4349 3285 4097 4919 4363 5161 5625 5667 6887 5927
99 3081 3081 4331 4418 3381 4301 5122 4444 5251 5905 6071 8519 6454
100 3167 3167 4361 4628 3393 4398 5128 4930 5431 6795 6451 8638 6677
101 3289 3289 4605 4855 3405 4413 5426 4981 6354 6913 6829 8951 7517
102 3405 3405 4617 5093 3431 4462 5817 5043 6890 7176 6855 9262 7614
103 3436 3436 4798 5486 3558 4672 5940 5053 7770 7454 7269 9893 8784
104 3450 3450 5037 5604 3974 5064 6224 5062 8290 8004 7622 10074 8980
105 3722 3722 5708 5995 4227 6151 6483 5257 8516 8925 7741 11169 9033
106 3833 3833 6371 6254 5112 6380 6689 6060 8968 9670 7806 11644 9342
107 4172 4172 6454 6410 6048 6490 7185 6129 9505 9683 8389 11820 11018
108 4227 4227 6793 6550 6340 6554 7505 6358 9599 11108 8647 12351 12087
109 4337 4337 6928 6586 6933 6933 8460 6410 9923 11725 9134 13484 12548
110 4495 4495 7196 7036 7154 7154 9159 7049 10226 12829 9409 13984 12778
111 7362 7362 7928 7891 7722 8878 9662 7768 10500 13547 9487 14414 13990
112 7365 7365 8363 8864 7934 10041 9943 9615 13450 13704 9999 16059 14413
113 8024 8024 8985 9209 8181 10384 10133 9627 13498 14012 11173 17903 14721
114 8125 8125 9610 9678 8337 10636 10701 10124 13845 14235 11871 18198 16713
115 8660 8833 9952 10357 8660 10866 11297 10439 14010 14345 13251 18719 17706
116 8661 9159 10241 10665 8661 10925 11590 10860 14314 14564 13479 19482 18789
117 8777 9294 10950 10699 8777 12576 12398 11554 14660 15448 15176 20283 20350
118 9463 9463 11376 10763 9587 13059 12957 12389 15098 15713 17456 20607 20669
119 9626 9626 11544 11641 10059 14124 13216 12946 15215 16149 17841 21436 21340
120 10253 11090 13102 12101 10253 14728 14064 13422 16278 17390 18236 21551 22022
121 11239 12244 15166 12197 11239 15201 15723 14421 19098 18895 19324 23929 22189
122 11892 13391 15542 13933 11892 15739 16020 15014 21949 20204 20476 24597 22301
123 12302 15646 16427 15331 12302 15946 16628 15405 22241 20491 22245 24902 22343
124 12728 16244 18392 15614 12728 18086 17138 16331 22399 23370 23118 26051 22632
125 14043 17002 18689 16953 14043 18404 17469 17182 22854 25295 23813 28839 23180
126 14346 19174 18741 20778 14346 20082 18817 17929 25372 25577 24483 28850 23635
127 15589 20622 19962 21011 15589 21248 19361 19182 25822 31146 25179 29099 24299
128 15781 20808 20688 21376 15781 22394 21475 19883 27096 31606 26049 32136 24944
129 15840 24206 20775 22257 15840 22680 21776 21811 32826 34314 26363 32147 27334
130 15863 25395 22101 22810 15863 23204 22568 21832 36202 35600 27455 35210 27410
131 17172 25584 23438 24031 17172 24673 22988 22591 37847 36590 28029 37364 28954
132 18722 25934 23737 28134 18722 24735 25932 24189 45025 38422 34066 37924
133 18869 28995 25906 31787 18869 26734 28116 25264 46441 40087 34118 49202
134 19198 29439 29529 34524 19198 27782 29096 26600 49071 40435 35699
135 20318 36846 29837 36933 20318 34558 32657 26926 41199 39254
136 20386 39185 30604 41172 20386 36307 32848 33016 44531 39361
137 20945 40530 31934 42586 20945 37157 33498 34704 44907 42058
138 21915 41575 37796 45773 21915 39026 41145 35206 51884 42513
139 31319 45953 43035 46587 31319 43109 41956 38066 52598 42660
140 32074 45983 44633 52225 32074 44169 43046 40511 55386 43200
141 32695 49342 45185 54186 32695 49821 48147 47858 59348 46175
142 37385 50037 51687 54952 37385 52916 50065 51845 61302 47522
143 37622 52667 53176 56154 37622 56464 51300 54302 65256 50486
144 39501 54083 53557 58683 39501 65593 57314 55391 66918 56095
145 46844 61224 53941 60135 46844 67178 58252 56620 67141 63290
146 56958 61792 57279 76130 56958 71670 60378 57966 70387 67707
147 59441 69941 61204 78171 72574 72800 61290 59441 71460 71074
148 63389 74037 63389 85492 76435 75756 66296 70148 75473 71701
149 71777 90387 74397 87447 77693 78294 73647 71777 77936 83814
150 74661 101137 74661 97762 81433 85817 80073 75625 85004 87675
151 75428 106114 75428 97773 83365 86886 81458 81073 87473 96703
152 76167 106676 76167 107064 86273 89929 87038 83720 93478 97913
153 77445 108183 77445 112799 94941 92865 91518 91238 113148 104085
154 78644 113969 78644 122899 96706 98325 93173 92349 113581 109243
155 85687 125699 85687 124104 98771 115027 97328 92980 115025 113039
[/CODE]

I had to split the table into 3 parts. So here comes the final one.

The attached ZIP file contains the current individual Sierpinski recordtables as well as the combined one.

[CODE] Best M52 M58 M60 M66 M82 M100 M106 M130 M138 M148 M162 M172 M178 M180 M196 M210 M226
156 86006 128068 86006 126840 116513 125590 103699 93160 117721 156829
157 93804 136105 94748 145165 119419 135118 104695 93804 128499 184580
158 95487 160817 95487 165972 125018 142945 107491 99198 131118
159 99803 170693 110834 174368 135968 144581 109654 99803 132503
160 101785 172306 134754 182661 136935 167796 121074 101785 132695
161 114253 181790 141791 137259 170233 122886 114253 142112
162 124847 152652 138391 194816 124847 131123 169425
163 129579 167673 139929 129579 141805 189032
164 138180 173422 152409 138180 143874 190787
165 139073 186908 152567 139073 147818 192144
166 141481 199177 156570 141481 177736 193190
167 146354 203720 168625 146354 201166 217907
168 158967 207189 183890 158967 212206
169 172886 215818 204709 172886
170 212402 212402 216664
171 218813 218813
172 347004 347004
[/CODE]