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2008-06-30, 16:47
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#353 |
Sep 2006
11·17 Posts |
Sierp b17:
one more k down, one remaining; n ~188K Sierp b18: one k remaining, no prime; n ~221K |
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2008-06-30, 20:13
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#354 |
May 2007
Kansas; USA
101·103 Posts |
We had gotten off on a large tangent discussing the amount of CPU time needed and k's remaining for Sierp base 19 and other efforts that was barely related to reservations/statuses. Actually, it was ME that was mostly off on the tagent. lol
I have moved the discussion to a new separate thread here. That said, if any reservations are reduced or otherwise changed as a result of the discussion, please still post them in this thread. Thanks, Gary |
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2008-06-30, 20:39
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#355 | |
Jan 2006
Hungary
22·67 Posts |
Quote:
Willem. Code:
622346 2042 857604 2071 479886 2091 481106 2097 273744 2117 865632 2126 853722 2137 683118 2154 183528 2155 736688 2164 999392 2168 501810 2177 895782 2190 697178 2198 489812 2202 519072 2222 843008 2243 780588 2298 994062 2314 255048 2322 751476 2337 472784 2356 579356 2365 635928 2366 482696 2401 716216 2409 524778 2444 932046 2447 866198 2478 997902 2525 419618 2554 384852 2556 515756 2595 510246 2654 282398 2698 844956 2701 17244 2703 512756 2713 967206 2714 456296 2823 450098 2842 619686 2909 117032 2949 367214 2969 293456 2986 468836 3051 662708 3102 268614 3129 491556 3163 559652 3201 662252 3249 556464 3303 892992 3321 721362 3402 578808 3410 413186 3449 698394 3632 48252 3758 319182 3964 600582 4049 835950 4107 94950 4125 149822 4221 668022 4448 652524 4507 418862 4516 552938 4588 92018 4618 550646 4638 127668 5674 945878 5702 529968 5908 953412 6168 451988 6738 140744 7257 969302 7481 121848 7576 802932 7821 438882 7838 878928 8046 728528 8504 961448 9247 848684 10152 217304 10181 516108 10307 501372 10900 177224 10907 213932 11277 764814 12181 405018 12275 620408 12578 325382 13834 140144 14097 731634 14132 597732 14604 437754 15967 940146 17631 258582 18801 78648 19918 478826 21805 434556 26167 571388 26879 874026 30253 706712 32437 401994 32471 Last fiddled with by gd_barnes on 2008-06-30 at 20:52 Reason: Put primes within [code] to reduce post length |
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2008-06-30, 20:54
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#356 | |
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Jan 2006
Hungary
4148 Posts |
Quote:
Willem. |
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2008-06-30, 20:55
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#357 | |
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May 2007
Kansas; USA
101·103 Posts |
Quote:
Don't worry about running the script if you don't want to. I already ran PFGW up to n=3K to get the small primes because it took little CPU time. This list overlaps my run so I'll have a good double-check for a small range. Thanks for posting those. Gary |
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2008-06-30, 20:55
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#358 | |
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Jan 2006
Hungary
1000011002 Posts |
Quote:
Willem. |
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2008-06-30, 21:45
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#359 | |
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May 2007
Kansas; USA
101×103 Posts |
Quote:
After matching everything up, we balance with a couple of exceptions on Riesel base 7: 515756*7^2595-1 is NOT prime! It has a factor of 19. 512756*7^2595-1 IS prime! This is a lower prime than the n=2713 that you found for k=512756. 844956*7^2701-1 is redundant with 17244*7^2703-1. They are the same prime. 844956=17244*7^2. (It makes no difference in the scheme of things but thought I'd point it out here.) Based on finding the composite for k=515756, I did the following: 1. Checked all of the rest of your list for primality. They indeed are all prime. 2. Continued my run of PFGW up to n=5K to further check your list. Everything else matched up. 3. Tested k=512756 up to n=8K using PFGW. No prime was found. So it looks like you need to add k=512756 back into your list of k's to test and test it starting from n=8K where I stopped testing it or n=2596 where you likely stopped testing it. This means that there are now 15 k's remaining at k=1M; 14 of which are at n=35K and 1 of which is at n=8K. Gary |
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2008-06-30, 22:57
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#360 | |
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May 2007
Kansas; USA
101×103 Posts |
Quote:
Willem, I've done phase 1 of my checking on Riesel base 25. I haven't tried to balance k's remaining yet. PFGW is still running to n=3K as a small overlap of your primes here. In phase 1, I check all k's for possible removal by looking for algebraic factors, multiples of the base where k/b is still remaining, primes already found by other projects, and primes on the top-5000 site. It is the final 2 items where I have found numerous additional k's that can be eliminated as a result of the Riesel base 5 project: k's and primes found by the base 5 project that were missed: 176234*25^18302-1 287288*25^54343-1 Primes found by the base 5 project that convert to a different base 25 k-value that can now be eliminated: 250730*25^21424-1 215780*25^22067-1 335960*25^28515-1 102890*25^28981-1 277610*25^36393-1 42470*25^39340-1 156710*25^51275-1 124490*25^67755-1 171770*25^70771-1 114830*25^90953-1 158960*25^98000-1 294410*25^132990-1 On the 2nd list, since we're looking at base 5 to find primes for base 25, if they found a prime for a k-value that is < the conjecture divided by 5, then you can multiply that k-value by 5 and see if it remains for base 25. If so, you can take the base 5 n-value, subtract 1, then divide by 2, and you'll have the converted base 25 n-value. More specifically, if a prime on base 5 is for a k-value < 346802/5 = 69360, then you may have a prime on base 25 for k*5 at (n-1)/2. Largest example: 58882*5^265981-1 is prime convert to: 294410*5^265980-1 and finally convert to: 294410*25^132990-1 Two of these converted primes make the top-10 for base 25 and will be reflected as such. This eliminates 14 additional k's values for Riesel base 25 and lowers the total k-values remaining from 337 to 323. Of those 323 remaining, 254 are left for us to test and 69 are being testing by the base 5 project. Further checking ongoing now... Gary Last fiddled with by gd_barnes on 2008-06-30 at 22:57 |
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2008-07-01, 06:17
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#361 | |
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May 2007
Kansas; USA
101·103 Posts |
Quote:
Frankly, I'm very concerned with the problems that I've found with your k-values remaining. 11 primes that should have been found by your searching to n=15K were not. They were not in your "Riesel 5" list hence they should have been searched: Code:
138800*25^2256-1 26000*25^3056-1 84200*25^4678-1 32582*25^7639-1 59126*25^8034-1 38558*25^8148-1 85892*25^8315-1 44654*25^8638-1 35438*25^8724-1 81524*25^9897-1 85424*25^9967-1 Next, the below is something that it would have been difficult for you to know about. The following are 15 k's that were eliminated by the base 5 project but that are not shown in their threads. They are only shown in a link here. Code:
41588*25^16559-1 16262*25^18098-1 223070*25^18169-1 278594*25^20264-1 51362*25^20582-1 280292*25^20932-1 150320*25^21023-1 132224*25^23699-1 17978*25^27018-1 250784*25^27159-1 47462*25^27692-1 60932*25^30661-1 156272*25^31444-1 13820*25^37137-1 251756*25^59015-1 Now it's just a matter of what do WE need to search that isn't being searched by base 5? There are some problems there also. The following 6 k-values are being searched by Riesel base 5 that were in your 'regular' list and not your 'Riesel 5' list and hence can be removed from your searching: 35816 154844 164852 239342 245114 325922 The following 15 converted k-values are being searched by Riesel Base 5 that were in your 'regular' list and not your 'Riesel 5' list and hence can also be removed from your searching: 6980 12440 18110 24530 26870 59060 85760 154970 176240 228710 241970 267710 287030 319190 334580 What 'converted' means is that they are a Riesel base 5 k-value multiplied by 5. This occurs anytime a base 5 k-value is k==(1 mod 3) and the k-value is < 346802/5. So if you divide each k-value by 5 in the above list, you see the k-value that is being searched by the base 5 project. (I confirmed they were all there remaining.) Note that any k-value that is k==(2 mod 3) should either have a prime found by the base 5 project -or- it is a k-value remaining on that project and hence this project. Therefore we need not search any k==(2 mod 3) with this project. Since k cannot be ==(1 mod 3) on base 25, the bottom line is that we only need search k==(0 mod 3), i.e. k's divisible by 3, with this project. In the web pages, see that all reserved k's remaining to be searched by us are divisible by 3. Almost all k's that are k==(2 mod 3) are listed as being tested by the base 5 project but it is possible for base 5 to be testing a k==(0 mod 3) although it would be unusual. The same type of thing occurs for bases 4 and 16 vs. base 2. Balancing: Taking the prior 268 k's previously remaining for us minus the above 40 primes minus the above 21 k-values that are being searched by the base 5 project leaves us presumably with 207 k -values remaining to search at n=15K. Taking the prior 69 k's previously remaining for the base 5 project plus the above 21 k-values that are also being searched by them leaves with 90 k-values that are being searched by base 5. The web pages show the k-values remaining. I say 'presumably' because I still need to check your list of primes for n>2K plus mine up to n=2K. Then I'll know for sure. I may end up asking that you rerun your tests starting around n=5K or so if I find too many more problems when doing the comparison. Willem, I really appreciate your efforts and enthusiasm here on new bases. Unfortunately, I've been a little lax and let some people slide on providing results files on the conjectures. You objected to sending them originally when I asked for them at the beginning of this project. I'm afraid that can't happen anymore. It's taking me too much time to confirm all of this and I don't have a starting point to determine how to resolve the problems. I end up doing many searches myself. It's taken the better part of today for me to find all of this, verify it, and correct k-values remaining for primes that were missed. I'm still searching all of the k-values up to n=2K to get those primes so I still have that verification yet to go. My other searches were isolated to problem k-values. In the future, I must have the results files anytime anything is submitted here. It only takes a minute to post them here. Then you can delete them off of your computer and I will save them on mine. Perhaps I can let it slide when searching 1-2 k's at higher n-ranges but when starting a new base, I am now making them a requirement. I have no other choice. I don't have the time to find what is causing these kinds of problems. As I've said before, starting new bases in the conjectures is highly problematic. When you throw in primes found by other projects eliminating k-values and potentially algebraic factors, it becomes that much more difficult. For very large results on large conjectures such as base 7, please divide them up in a manner that you can zip them to me in an Email. My Email address is in post 4 of this thread. Edit: This was all balanced to k's remaining and primes posted prior to your latest postings. I just now checked those. I see that you found primes for 14 additional k's between n=15K to what appears to be n=~20K. But k=177228 that was remaining at n=10K and NOT remaining at n=15K, I see is now remaining again. Regardless, I've added it back to the pages. Also, I had already removed k=41558 with the prime at n=16559 as per the above. So this nets out to removing 12 k's. There are now 195 k's remaining for us to search and 90 k's for Base 5 to search for a total of 285. Please let me know two things: (1) Is there a prime for k=177228? (2) Is your search limit now n=20K? Thanks, Gary Last fiddled with by gd_barnes on 2008-07-01 at 08:24 |
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2008-07-01, 14:56
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#362 | |
Jul 2003
wear a mask
166810 Posts |
Quote:
Last fiddled with by masser on 2008-07-01 at 14:57 |
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2008-07-01, 16:23
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#363 | |
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Jan 2006
Hungary
22·67 Posts |
Quote:
Thank you for the backchecking. In the past I have checked the primes myself as well, I'll be sure to do that again on my various bases. I have fired up the k that I mistyped and I'll bring it back into the pack. Willem. |
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