20100420, 08:18  #12 
Nov 2008
2·3^{3}·43 Posts 
Aha. Seems there is actually a bug in covering.exe. Will check my other results.
Edit: Since there was only one value (the one mentioned in my previous post) which came anywhere near 2^60, I've checked that one and assumed the rest were OK. Last fiddled with by 10metreh on 20100420 at 08:36 
20100420, 08:42  #13  
May 2007
Kansas; USA
10,223 Posts 
Quote:
And I thought I was harsh. Spoken like I was thinking though. 10metreh, what's the bug you uncovered in covering.exe? 

20100420, 08:45  #14 
Nov 2008
912_{16} Posts 
I didn't find it, it was the bug mentioned in the thread kar_bon gave me the link to where bad results can appear when kbound*primebound is very large. None of my new results were affected by it because they were too small.

20100420, 08:46  #15  
May 2007
Kansas; USA
10,223 Posts 
Quote:
I know Robert did the original conjectured k's on all of the bases and I think he used his own program. I have found them to be extremely accurate so far but I haven't messed around with conjectures > 5M. Gary 

20100420, 08:52  #16 
May 2007
Kansas; USA
10,223 Posts 
Hum. R280 k=253971311388192 can't have a covering set:
253971311388192*280^41 and 253971311388192*280^101 are both prime! Also, there are too many large factors for it to be the S280 conjecture. So much for that one. Did you have a typo in your k? 
20100420, 08:55  #17  
Nov 2008
912_{16} Posts 
Quote:
Of course there may still be a smaller Riesel k with a ridiculous period or large factor. Very hard to tell with these larger ones. Last fiddled with by 10metreh on 20100420 at 08:55 

20100420, 09:17  #18 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2^{2}×1,433 Posts 
if you go to his website then you will find that there is also a program called bigcovering
this might have a bugfix for this. it might be slower though and that might be why he has kept the programs separate 
20100420, 12:40  #19 
Nov 2008
2·3^{3}·43 Posts 
That does seem to have a bugfix: R280 works out fine.
It also verifies R1150 k=481388992590 (which does have a covering set). Last fiddled with by 10metreh on 20100420 at 12:40 
20100421, 14:49  #20  
Quasi Admin Thing
May 2005
2×7×67 Posts 
Quote:
KEP 

20100510, 13:48  #21 
May 2008
Wilmington, DE
2^{2}·23·31 Posts 
Audit complete for the 1st and 2nd posts. R986 was missing with a ck of 8.
Last fiddled with by MyDogBuster on 20100510 at 13:49 
20101110, 14:01  #22 
"Mark"
Apr 2003
Between here and the
2·2,971 Posts 
I took each of the conjectures where the conjectured k>10000 and ran a range of 1000 up to n=500 with the script to get an idea as to the difficulty to proving them. The following list is an extrapolation of that data, showing the number of expected remaining k per conjecture at n=500. This list only shows those for which the expected remaining k < 10000.
Code:
Base Conjectured k Expected Remaining k 991 11358 148 897 19308 154 918 11946 191 270 21681 195 418 11733 223 382 13404 228 640 10349 269 750 27353 274 973 21914 307 565 20598 309 348 18496 314 693 14922 343 228 16718 368 882 25606 384 568 19347 387 592 17196 396 658 22407 403 858 24053 409 943 18822 414 355 46190 416 477 14102 423 282 19139 440 757 27666 443 215 15358 461 403 24744 470 675 37816 492 723 12852 514 555 58202 524 442 54047 540 507 11812 555 810 35683 642 682 40979 656 553 31854 669 490 48051 673 207 38572 694 745 31706 698 598 43728 700 717 30514 702 262 27351 711 738 13738 728 880 48720 731 150 49074 736 787 27332 793 862 26417 819 292 34682 832 840 84608 846 940 36929 849 772 27054 893 445 43338 953 708 41121 987 225 168032 1008 742 21546 1013 903 24746 1039 393 11358 1045 498 96306 1059 1023 68394 1094 291 16410 1198 193 80802 1212 877 50654 1266 871 16460 1267 431 15380 1307 576 17798 1335 303 85368 1366 460 56243 1406 613 34692 1422 223 54704 1477 808 59058 1595 466 21450 1609 807 32824 1641 607 51584 1651 616 23447 1665 351 27708 1690 145 257324 1801 190 626861 1881 672 41440 1906 895 152774 2139 575 77600 2173 591 30820 2188 255 205022 2255 430 45152 2303 646 30410 2311 448 131556 2500 768 55367 2547 306 39295 2593 297 130076 2602 396 41672 2750 786 37209 2791 997 101526 2843 537 113788 2958 627 129182 2971 312 173401 3121 323 93896 3192 1018 111284 3227 775 172368 3620 222 88530 3895 996 52840 3910 295 664484 3987 336 63018 4096 388 205391 4108 822 156369 4222 310 363869 4366 612 105437 4428 495 117150 4452 411 60254 4579 432 192596 4622 421 73640 4713 660 322567 4839 838 180384 5051 513 221706 5099 357 584078 5257 397 172134 5680 1005 244960 5879 283 218042 5887 751 85682 6169 451 89610 6183 606 74660 6271 975 282032 6769 771 83954 6968 856 108467 8243 171 112790 8346 595 291890 8465 247 469184 8914 728 212722 9360 732 211836 9533 936 100260 9725 820 390795 9770 226 158447 9982 Last fiddled with by MyDogBuster on 20130116 at 09:47 Reason: R600 
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