[QUOTE=henryzz;210945]
154/96706[/QUOTE]

Congratulations, Henry! This is indeed one of the best so far.
While I'm digging through hundreds of candidates you picket just one -- obviously the "right" one...

[quote=Thomas11;210954]Congratulations, Henry! This is indeed one of the best so far.
While I'm digging through hundreds of candidates you picket just one -- obviously the "right" one...[/quote]
One more to make you drool even more:
3019*3986252057*3*5*11*13*19*29*37*53*59*61*67*2^98771+1
155/98771
I should finish testing upto n=100k very soon(today i think). Hows that sieve file you talked about coming along? Are you just using newpgen?
Edit: whats the latest record table?

Henry, you targets:

159/99803
160/101785
161/114253
162/124847

Yours is still a lot better than any Riesel, it is worth taking above 100k

For 1 k value, newpgen is adequate.

[QUOTE=henryzz;211137]Hows that sieve file you talked about coming along? Are you just using newpgen?[/QUOTE]

For multiple ks (from about 10 up to a maximum of 100) I'm using ksieve. That makes sieving large bunches of candidates quite a bit more efficient. And it doesn't have the limitation for the multiplier y<2^31 (or it's largest factor) as with NewPGen. There are a few sequences which cannot be sieved by NewPGen due to this fact.

And yes, the sieve file for your candidate is ready (for the range n=100-200k), sieved to about p=650B. Just PM me your email address...

Still wading through the many Riesel candidates, taking them up to 100K. Only 2 have reached 150 primes, which is a tad disappointing.

I have decided that E=106 gives perhaps the best performance at under 100K, there are enough candidates compared to higher E, and, greater potential at 10K if the number of primes is over 104 compared to lower E.

I have just started this process and have one candidate that was 113/10000 that broke some key records at low n:

New Reisel records:

R 106 333810595227339 120/12780
R 106 333810595227339 121/12854

New absolute records:

R 106 333810595227339 122/12865
R 106 333810595227339 123/13208
R 106 333810595227339 124/14027

Faded after these records.

This is a little status update:

The following 6 candidates have been fully tested through n=200k:
[CODE]S 1323953181459703 100 169/172886 (p/ln(n)=14.013)
S 1061615018040269 106 166/177736 (13.733)
S 16196964114523 58 166/199177 (13.604)
S 960877846368167 100 162/137800 (13.690)
S 639141497343255 100 162/186471 (13.349)
S 227319843835 100 161/182729 (13.288)[/CODE]

Unfortunately the current top candidate (S100 13239...) hasn't shown a 170th prime until n=200k. So I started a single k sieve for this one.

There are another 5 candidates, which have been tested to n=150k so far:
[CODE]S 24014621472869 82 159/144581 (13.382)
S 862832795007565 100 159/147380 (13.360)
S 1024817770766811 100 159/149740 (13.343)
S 28067140916631 82 157/135118 (13.289)
S 24365010567297 66 156/119238 (13.346)[/CODE]

Work is in progress to take them to n=200k too.

And finally I've got another bunch of more than 60 candidates to n=100k:
[CODE]S 8029577694985 58 153/98945 (13.302)
S 9499422768268281 148 152/97913 (13.227)
S 2752432099816267 138 152/93478 (13.280)
S 25080292470185 60 151/97773 (13.141)
S 73657200709363 58 150/99936 (13.030)
S 9135846477575 58 150/99847 (13.031)
S 36406275593483 58 150/99693 (13.032)
S 3427687421518705 106 149/99362 (12.949)
S 24850467792233 58 149/94658 (13.004)
S 54859370892007 58 149/93556 (13.017)
S 18232916974769 60 149/91198 (13.046)
S 69825104959515 82 149/90857 (13.051)
S 57955847166723 52 149/90387 (13.057)
S 2738053337311377 100 149/87498 (13.094)
S 70414189453193 58 149/84711 (13.131)
S 29929749941855 52 148/99751 (12.858)
S 746489228495497 100 148/99508 (12.861)
S 47939188157725 52 148/97147 (12.888)
S 25562784294559 60 148/96939 (12.890)
S 46454359973315 58 148/96431 (12.896)
S 12294252549871 58 148/95531 (12.906)
S 692617851820377 106 148/93855 (12.926)
S 1250111736975983 100 148/91637 (12.953)
S 10961164193571293 148 148/87579 (13.005)
S 69272516685911 100 147/98501 (12.785)
S 19511054261 82 147/95914 (12.815)
S 25534130751859 66 147/94745 (12.828)
S 32212828345397 60 147/85058 (12.950)
S 82783239847627 52 147/73000 (13.127)
S 4950490591231 58 146/97702 (12.707)
S 963379135334463 106 146/97385 (12.711)
S 33954577535555 58 146/97037 (12.715)
S 19996752408257 52 146/96955 (12.716)
S 105499916807407 58 146/94819 (12.740)
S 24114483629241 82 146/89118 (12.810)
S 1696001380813993 106 146/88147 (12.822)
S 31599666283115 52 146/87291 (12.833)
S 12507984303339 60 146/83760 (12.880)
S 73647651306083 52 145/97373 (12.624)
S 73875453346601 52 145/96540 (12.633)
S 14608237711977 58 145/93514 (12.668)
S 19183189750187 60 145/92459 (12.681)
S 22709404565491 66 145/91729 (12.690)
S 30715541574509 66 144/98635 (12.523)
S 6399691595399 60 144/97031 (12.541)
S 34361055123091 60 144/95957 (12.553)
S 29657056739615 52 144/95500 (12.558)
S 1085146962013975 100 144/93196 (12.585)
S 1859707051241209 148 144/92879 (12.588)
S 7267408771397 82 144/87410 (12.656)
S 3763782581288275 148 144/86107 (12.672)
S 37118813510881 52 143/94269 (12.485)
S 42397883885915 82 143/86769 (12.576)
S 879999018919927 100 143/84465 (12.606)
S 3877147374931 58 143/84376 (12.607)
S 8589581310031 66 143/84053 (12.611)
S 41727973690913 58 143/82026 (12.638)
S 10632811894730635 148 142/94524 (12.395)
S 19883143843557 60 142/86069 (12.497)
S 32353238502883 66 142/83241 (12.534)
S 119115558886701 82 141/82943 (12.449)
S 63698882100881 82 141/80716 (12.479)[/CODE]

Next step is to set up a sieve for the top performers out of this list and drive them to at least n=150k.

[QUOTE=Thomas11;214233]This is a little status update:

The following 6 candidates have been fully tested through n=200k:
[CODE]S 1323953181459703 100 169/172886 (p/ln(n)=14.013)
S 1061615018040269 106 166/177736 (13.733)
S 16196964114523 58 166/199177 (13.604)
S 960877846368167 100 162/137800 (13.690)
S 639141497343255 100 162/186471 (13.349)
S 227319843835 100 161/182729 (13.288)[/CODE]

Unfortunately the current top candidate (S100 13239...) hasn't shown a 170th prime until n=200k. So I started a single k sieve for this one.

[/QUOTE]

Truly astonishing work, I think you might wish to concentrate on:

(a) the ones you have already taken to 200K - 9608778.... such a huge gap already between 137800 and 200000,
(b) getting the 150s up to 200K
(c) 148+ at 100K to 150.

I have been plugging away at R 106 without much success since my last report.

[QUOTE=robert44444uk;214435]I think you might wish to concentrate on:

(a) the ones you have already taken to 200K
(b) getting the 150s up to 200K
(c) 148+ at 100K to 150.
[/QUOTE]

That's indeed my intention. Actually I concentrate on (b) and (c) plus the single k sieve for S 100 1323953181459703 (n>200k).
Once I've got some experience about PFGW times at n>200k from this one, I will pick some more candidates, which are then waiting at n=200k...

Thought I would post a more detailed Riesel chart, showing the best performances at each level. At lower levels there are superior performers at small M values.

The full table is too large for one post, see next for completion

[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 4 4
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 11 5
4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 13 11
5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 9 10 18 16
6 6 6 6 6 6 6 6 6 6 6 8 8 9 10 15 16 28 18
7 7 7 7 7 7 7 7 7 7 9 10 14 10 12 20 18 36 35
8 8 8 8 8 8 8 8 8 9 10 14 15 19 13 22 23 44 38
9 9 9 9 9 9 10 10 9 13 13 17 21 21 18 33 30 45 48
10 10 10 10 11 10 11 11 12 14 20 20 27 25 29 35 38 79 57
11 11 11 12 12 13 13 13 14 18 21 23 31 26 33 47 44 91 69
12 13 13 13 14 14 14 16 15 21 26 24 37 29 39 52 50 98 75
13 14 14 16 16 15 18 19 20 29 30 27 41 31 48 59 65 129 96
14 18 18 18 19 18 21 20 24 31 31 36 42 43 49 68 73 130 104
15 20 20 20 22 21 24 21 29 35 41 43 49 45 50 75 79 154 114
16 23 23 23 24 25 29 26 30 39 42 58 52 59 72 76 93 184 123
17 25 25 25 28 29 33 35 36 40 44 64 54 60 75 90 116 215 124
18 28 28 29 32 33 36 36 41 45 55 73 60 64 81 96 122 235 167
19 31 31 34 36 38 40 38 43 49 63 79 93 67 91 114 134 278 201
20 32 32 36 38 40 46 39 44 57 71 82 99 74 98 158 138 303 204
21 40 41 40 41 43 48 57 57 58 76 84 104 89 119 174 148 315 251
22 43 44 43 47 45 50 59 61 75 81 86 107 97 121 192 175 387 299
23 47 47 48 51 47 56 62 69 80 90 110 109 106 145 193 178 414 314
24 53 53 54 55 53 65 65 75 88 95 113 115 112 158 205 182 458 329
25 55 58 61 57 55 70 68 77 93 101 118 140 120 169 235 187 503 336
26 59 61 64 59 59 75 82 83 94 110 131 147 123 171 239 229 522 358
27 63 65 69 63 65 84 83 95 115 133 145 152 139 186 251 242 538 368
28 68 68 73 78 69 86 88 105 119 145 151 161 170 197 269 272 596 384
29 72 75 77 85 72 90 100 109 136 158 156 169 181 231 284 322 638 400
30 80 80 87 87 93 104 113 120 143 167 169 186 206 236 301 328 669 439
31 88 88 102 88 102 115 126 123 149 173 203 252 226 239 309 334 722 530
32 93 93 109 94 104 120 136 139 160 181 211 267 253 254 385 344 736 546
33 95 95 115 97 105 130 142 146 189 182 212 268 265 264 403 386 774 561
34 108 108 122 112 123 133 143 150 190 216 220 271 285 284 407 387 784 661
35 119 119 131 122 132 152 159 171 214 227 239 273 316 293 422 395 849 688
36 120 120 132 128 142 158 160 179 233 245 244 279 321 306 463 422 893 713
37 124 124 134 135 147 165 178 187 246 251 307 285 352 309 526 437 910 716
38 134 134 136 143 164 170 183 199 262 268 313 331 363 380 563 439 916 824
39 141 148 141 153 168 173 195 201 279 290 346 334 364 381 570 455 929 904
40 152 152 160 154 175 197 204 211 286 299 350 384 382 442 625 562 1068 1018
41 160 162 171 160 185 205 207 244 289 300 370 388 470 490 714 589 1193 1120
42 167 173 192 167 195 229 209 255 300 359 388 389 481 496 724 625 1248 1165
43 180 187 210 180 217 250 250 268 325 379 428 397 527 528 730 651 1283 1224
44 182 193 219 182 240 262 252 277 344 388 489 443 550 567 816 691 1340 1268
45 188 220 235 188 243 263 265 307 365 400 513 462 567 590 867 773 1559 1271
46 204 234 251 204 247 290 270 315 392 463 516 478 586 644 945 829 1584 1323
47 247 247 254 249 253 306 292 361 397 506 531 523 641 662 975 866 1726 1382
48 260 260 277 282 292 319 362 374 425 512 586 544 677 663 992 929 1830 1441
49 270 270 297 289 317 364 377 386 459 529 600 562 705 700 1167 961 1973 1531
50 293 293 313 307 342 374 407 399 478 542 696 577 787 728 1226 1021 2691 1679
51 313 313 330 327 352 389 429 443 517 549 715 661 793 767 1312 1140 2718 1792
52 341 360 369 341 361 423 435 463 534 560 719 664 859 811 1318 1197 2820 1793
53 355 370 381 355 389 438 439 511 587 564 740 699 874 841 1440 1226 3068 1815
54 378 378 401 387 393 477 452 541 633 591 779 731 878 913 1466 1299 3111 1967
55 388 392 432 388 423 487 536 548 636 606 785 978 931 981 1563 1335 3141 1976
56 401 424 433 401 427 499 564 571 709 624 841 1014 944 1071 1564 1461 3153 1977
57 403 438 469 403 443 513 620 584 746 658 936 1020 1049 1220 1631 1586 3220 2062
58 410 439 478 410 459 545 635 589 823 692 999 1025 1087 1270 1791 1606 3650 2077
59 466 466 558 509 477 573 638 596 829 769 1014 1027 1126 1277 1814 1646 3706 2294
60 513 517 564 563 513 645 681 621 867 899 1126 1065 1135 1316 1889 1798 3748 2400
61 546 546 565 583 565 649 692 723 938 941 1197 1125 1162 1687 2288 1881 3777 2613
62 589 589 629 596 626 680 751 726 967 1037 1212 1214 1183 1732 2324 1928 3871 2958
63 607 607 662 639 631 693 839 805 990 1038 1238 1291 1196 1813 2634 2092 4053 3179
64 660 660 676 660 741 723 843 850 1036 1343 1396 1306 1228 1873 2735 2192 4595 3266
65 666 720 681 666 766 737 954 895 1120 1380 1444 1313 1290 1918 2866 2260 4767 3269
66 683 745 801 683 803 867 968 940 1182 1406 1453 1359 1446 2018 3096 2264 4798 3542
67 738 764 826 738 827 921 982 957 1200 1582 1627 1429 1524 2085 3210 2364 5270 3625
68 793 799 834 793 867 1021 1008 1019 1244 1691 1686 1701 1562 2108 3318 2783 5302 3706
69 877 888 943 877 910 1076 1073 1062 1422 1743 1723 1787 1789 2401 3386 2829 7085 4066
70 894 894 966 909 954 1083 1102 1099 1527 1824 1761 1921 1864 2411 3691 2856 7368 4145
71 918 931 1011 918 1007 1171 1218 1101 1571 2009 1801 2154 1986 2510 3736 2915 7571 4337
72 933 933 1069 984 1048 1193 1366 1122 1579 2055 1815 2288 2268 2711 4011 2950 8229 4568
73 963 963 1091 996 1060 1247 1389 1199 1626 2202 2041 2668 2392 2768 4043 3137 4975
74 1009 1021 1095 1009 1090 1385 1524 1239 1749 2252 2190 2727 2396 2818 4230 3152 5282
75 1122 1244 1122 1148 1128 1482 1563 1321 1765 2299 2224 2835 2414 2837 4569 3398 6011
76 1193 1381 1365 1220 1193 1626 1581 1464 2232 2543 2384 2840 2486 2947 4744 3556 6309
77 1224 1455 1397 1224 1272 1689 1652 1581 2273 2804 2459 3202 2588 3437 4801 4077 6487
78 1286 1500 1491 1286 1414 1723 1662 1582 2641 2919 2864 3637 2658 3474 5539 4579 6542
79 1488 1562 1604 1577 1488 1821 1705 1660 2658 3055 3238 3730 2912 3574 5542 4932 6736
80 1491 1608 1650 1682 1491 1910 1720 1670 2884 3373 3262 4131 2937 3680 5613 4961 6794
81 1577 1659 1651 1775 1577 1990 1892 1967 3015 3438 3402 4172 3026 3796 5691 5346 7556
82 1594 1706 1719 1848 1594 2032 1914 2026 3050 3528 3619 4548 3166 3856 5817 5438 7935
83 1597 1910 1756 1901 1597 2092 1963 2095 3110 3637 3707 5085 3539 4132 6604 5659 8100
84 1726 1989 1959 2084 1726 2108 2150 2103 3147 3717 3715 5131 3638 4670 7623 6442 8286
85 2028 2028 2071 2132 2028 2179 2198 2153 3394 3768 3739 5428 3868 5016 7794 6524 8934
86 2045 2045 2176 2200 2112 2192 2250 2299 3713 3909 3833 5890 3931 5111 8025 6765
87 2085 2085 2338 2201 2190 2198 2303 2322 3760 4361 3917 6046 4071 5374 9280 6839
88 2129 2129 2440 2348 2340 2203 2369 2481 3909 4579 3982 6335 4173 5855 9320 7208
89 2219 2219 2586 2373 2398 2243 2409 3045 4233 4605 4215 7148 4277 6585 9472 7255
90 2279 2534 2637 2554 2448 2279 2535 3130 4550 5121 4468 7809 4311 6965 7413
91 2474 2766 2718 2786 2589 2474 2881 3497 4714 5340 5098 8472 5137 7654 7953
92 2595 3138 2737 2844 2693 2595 3149 3799 5303 6079 5203 8811 6774 7808 8299
93 2826 3175 2836 3106 2826 2875 3280 3843 5761 6172 5642 9000 7031 7936 9357
94 3090 3178 3090 3127 3360 3402 3396 3858 5780 6805 5777 9121 7749 9471 11500
95 3245 3694 3803 3245 3500 3602 3807 4285 6027 7050 6702 9651 7780 11671
96 3307 3704 4409 3307 3909 3706 3958 4788 6098 7309 7514 9775 8396 13642
97 3664 4870 4427 3664 4420 3839 4062 4943 6539 7817 7525 10373 8545 14017
98 3679 4944 4640 3679 5276 4374 4534 4974 6762 7996 8378 11478 8573 14317
99 3785 5285 4688 3785 5501 4392 5044 5562 6837 8022 8522 12628 8837
100 3836 5653 5135 3836 5717 4425 5614 6048 7785 8163 8628 13521 8974


[/CODE]

The rest of the table:

[CODE]
Best m52 m58 m60 m66 m82 m100 m106 m130 m138 m148 m162 m172 m178 m180 m196 m210 m226

101 4246 5675 5490 4246 5813 4888 5655 6340 8378 8339 9277 13523 9094
102 4860 5810 5829 4860 6033 5627 6343 6775 8538 8498 9382 13831
103 5060 5947 6038 5060 6196 5821 6537 6832 8568 8713 13869
104 5127 6046 6458 5127 6855 5823 6727 6927 13536 8755 14422
105 6461 6895 7153 6461 6974 6801 6960 7166 14273 8947 14434
106 6753 7478 7560 6753 7953 7198 7664 7479 15351 9064 15043
107 7355 8024 7904 7355 8134 7385 8231 7968 15602 15188
108 7361 8093 8907 7361 8542 7532 8728 7990 18772 17266
109 7835 8783 9611 7835 8858 8071 9111 8257 20189 17285
110 8231 9700 10196 8288 9208 8231 9688 8348 20466 17907
111 8364 9876 10564 9323 9282 8364 9905 8686 22593 17968
112 9006 11289 11632 9474 9543 9006 10452 9204 18126
113 9561 14194 11804 9869 10116 9561 10662 9882 18649
114 9967 16315 12174 9967 10522 10494 12548 10815 19114
115 10667 16490 12443 10731 10829 10667 12579 11326 19184
116 10929 17865 13301 10929 11050 11230 12738 11341 19763
117 11301 17965 13305 12193 11438 11301 13506 12383 19764
118 11682 18346 13712 12803 12481 11682 13614 12453 20486
119 12435 18402 14127 13514 14970 12435 14898 12550 21811
120 12780 18878 14207 14175 15402 12823 15724 12780 22635
121 12854 19975 15032 14551 15740 13104 16304 12854 24919
122 12865 20285 16151 14716 16067 13504 18364 12865 26920
123 13208 20834 19604 15204 16408 14048 18524 13208 29668
124 14027 22815 20267 16619 17305 16657 18596 14027 32363
125 17542 24991 20432 18406 17542 18052 19187 19341 32709
126 18270 28303 20524 18880 18270 18495 19563 19903 33257
127 18954 29186 20775 20970 18954 19954 20193 20365 33913
128 19034 29318 24046 21065 19034 20974 20362 26911 39945
129 20795 24120 22515 26039 21484 20795 34900 39991
130 20852 24396 23493 27889 21792 20852 35646 40039
131 22844 26136 23571 29587 26252 22844 36289 41858
132 23235 26830 24250 31344 26785 23235 33923 41910
133 23248 29472 27171 33192 26791 23248 38053 47922
134 23358 32031 29416 33237 27548 23358 50222
135 27644 35816 32966 33916 27644 28657 52424
136 28785 36367 34259 36861 29403 28785 64852
137 30128 37499 41302 37127 36424 30128 67909
138 30480 42575 42035 37521 40742 30480 70081
139 30929 47388 45080 38175 44223 30929 80286
140 41930 48448 47148 41930 44690 42293 82795
141 45117 49504 47361 45117 47220 86861
142 47470 50232 47470 49879 90129
143 48806 55929 48806 51102 101060
144 49351 57795 49351 51690 102124
145 53717 61220 74389 53717 106385
146 64050 65223 75048 64050 113784
147 68381 69969 77931 68381 124805
148 70169 70169 80977 70801 127436
149 73685 73685 83359 79509 164357
150 77167 77167 84366 80948
151 80961 80961 89497 97270
152 84012 84012 93467
153 100101 100101 104173
154
155
156
157
158 164463 164463
159 169447 169447
160 195317 195317
161 202473 202473
162 233805 233805

[/CODE]

Time for a status update.

I've got another bunch of 70 candidates to n=100k:
[CODE]S 8029577694985 58 153/98945 (p/ln(n) = 13.302)
S 9499422768268281 148 152/97913 (13.227)
S 2752432099816267 138 152/93478 (13.280)
S 25080292470185 60 151/97773 (13.141)
S 73657200709363 58 150/99936 (13.030)
S 9135846477575 58 150/99847 (13.031)
S 36406275593483 58 150/99693 (13.032)
S 3427687421518705 106 149/99362 (12.949)
S 24850467792233 58 149/94658 (13.004)
S 54859370892007 58 149/93556 (13.017)
S 18232916974769 60 149/91198 (13.046)
S 69825104959515 82 149/90857 (13.051)
S 57955847166723 52 149/90387 (13.057)
S 2738053337311377 100 149/87498 (13.094)
S 70414189453193 58 149/84711 (13.131)
S 29929749941855 52 148/99751 (12.858)
S 746489228495497 100 148/99508 (12.861)
S 47939188157725 52 148/97147 (12.888)
S 25562784294559 60 148/96939 (12.890)
S 46454359973315 58 148/96431 (12.896)
S 12294252549871 58 148/95531 (12.906)
S 692617851820377 106 148/93855 (12.926)
S 1250111736975983 100 148/91637 (12.953)
S 10961164193571293 148 148/87579 (13.005)
S 69272516685911 100 147/98501 (12.785)
S 19511054261 82 147/95914 (12.815)
S 25534130751859 66 147/94745 (12.828)
S 32212828345397 60 147/85058 (12.950)
S 82783239847627 52 147/73000 (13.127)
S 4950490591231 58 146/97702 (12.707)
S 963379135334463 106 146/97385 (12.711)
S 69704185433285 52 146/97156 (12.713)
S 33954577535555 58 146/97037 (12.715)
S 19996752408257 52 146/96955 (12.716)
S 105499916807407 58 146/94819 (12.740)
S 24114483629241 82 146/89118 (12.810)
S 1696001380813993 106 146/88147 (12.822)
S 31599666283115 52 146/87291 (12.833)
S 12507984303339 60 146/83760 (12.880)
S 77753124537011 52 145/98058 (12.616)
S 73647651306083 52 145/97373 (12.624)
S 3030801877323087 100 145/97090 (12.627)
S 73875453346601 52 145/96540 (12.633)
S 14608237711977 58 145/93514 (12.668)
S 19183189750187 60 145/92459 (12.681)
S 11607230823079201 148 145/91765 (12.689)
S 22709404565491 66 145/91729 (12.690)
S 30715541574509 66 144/98635 (12.523)
S 2833727813587293 100 144/97414 (12.536)
S 6399691595399 60 144/97031 (12.541)
S 34361055123091 60 144/95957 (12.553)
S 29657056739615 52 144/95500 (12.558)
S 1085146962013975 100 144/93196 (12.585)
S 1859707051241209 148 144/92879 (12.588)
S 7267408771397 82 144/87410 (12.656)
S 3763782581288275 148 144/86107 (12.672)
S 52057542079743 52 143/96075 (12.464)
S 37118813510881 52 143/94269 (12.485)
S 42397883885915 82 143/86769 (12.576)
S 879999018919927 100 143/84465 (12.606)
S 3877147374931 58 143/84376 (12.607)
S 8589581310031 66 143/84053 (12.611)
S 41727973690913 58 143/82026 (12.638)
S 104131398355059 58 142/99871 (12.335)
S 10632811894730635 148 142/94524 (12.395)
S 19883143843557 60 142/86069 (12.497)
S 32353238502883 66 142/83241 (12.534)
S 119115558886701 82 141/82943 (12.449)
S 63698882100881 82 141/80716 (12.479)
S 536260668299455 100 140/76930 (12.444)
[/CODE]

The top performers where taken further, in n=10k steps up to n=150k, throwing out the "bad ones" at each level.
At n=150k the following survived:
[CODE]S 2752432099816267 138 161/142112 (13.570)
S 69272516685911 100 160/145518 (13.459)
S 8029577694985 58 159/148722 (13.350)
S 26465530345417 66 158/140872 (13.327)
S 25562784294559 60 157/145165 (13.209)
S 24850467792233 58 157/137023 (13.274)
S 47939188157725 52 157/136105 (13.281)
S 2738053337311377 100 156/145573 (13.122)
S 9135846477575 58 156/141255 (13.155)
S 57955847166723 52 155/140342 (13.078)
S 73657200709363 58 155/130149 (13.162)
S 9499422768268281 148 155/113039 (13.321)
S 54859370892007 58 154/137699 (13.015)
[/CODE]