- **Conjectures 'R Us**
(*https://www.mersenneforum.org/forumdisplay.php?f=81*)

- - **Bases 2 & 4 reservations/statuses/primes**
(*https://www.mersenneforum.org/showthread.php?t=9830*)

[QUOTE=kar_bon;123322][b]to Gary and Jean:[/b]
i included all data from above in the online-page (you know where). have a look and than i can make it available for all. karsten[/QUOTE] Very nice work, Karsten! But, indeed, I cannot continue to have 32 k's reserved, I have not computer power enough for that! For now, I will try to continue to test the -1, odd n's up to 256K base 2 ( n <= 262144), so I will now unreserve : k = 9519 (even n's, tested now up to n = 581680, no prime...) (This is now a top 5000 candidate!) and for odd n's : k = 6927, 8367, 30003, 39687, 172167 (no prime, tested as you showed). Best Regards, Jean |

oh, i was a little to quick to try. don't know you want to continue the odd-1 search while i inserted your gathered results.
after half a day run (sieve and test) i found: 53973*2^198575-1 is prime! (only this k tested) so one candidate less to search for you. sorry. i marked all other k's as reserved by you for odd-1. do you have sieve-files for the other k's for me to test further? now this page is available under [URL="http://www.rieselprime.de/Related/LiskovetsGallot.htm"]www.rieselprime.de/Related/LiskovetsGallot.htm[/URL] or use [URL="http://www.rieselprime.de"]www.rieselprime.de[/URL] -> left menu -> 'Others Projects' there. |

[quote=kar_bon;123367]oh, i was a little to quick to try. don't know you want to continue the odd-1 search while i inserted your gathered results.
after half a day run (sieve and test) i found: 53973*2^198575-1 is prime! (only this k tested) so one candidate less to search for you. sorry. i marked all other k's as reserved by you for odd-1. do you have sieve-files for the other k's for me to test further? now this page is available under [URL="http://www.rieselprime.de/Related/LiskovetsGallot.htm"]www.rieselprime.de/Related/LiskovetsGallot.htm[/URL] or use [URL="http://www.rieselprime.de"]www.rieselprime.de[/URL] -> left menu -> 'Others Projects' there.[/quote] No problem! Congrats for finding this prime! My goal is presently to eliminate the "easy" k's (those which would not yield a top 5000 prime) as fast as possible. I also found 2 primes : 48927 35861 --> 97854*2^35860-1 is prime! Time : 4.610 sec. 59655 43825 --> 119310*2^43824-1 is prime! Time : 8.195 sec. so, I am encouraged to continue! I have no sieved file for n > 256K base 2 presently... Regards, Jean |

Sierp odd-n status updateI have now tested the Sierp odd-n conjecture to n=200K. No primes were found since my last post. So here are the 9 k's remaining:
[code] k test limit 9267 1967862 32247 1780000 (per Sierp base 4 mini-drive at CRUS) 37953 200K 53133 200K 60357 200K 70467 200K 80463 200K 84363 200K 85287 200K [/code] I am now sieving the k's remaining for n=200K-600K. Gary |

Two more primes on Riesel odd n'sTwo more primes on Riesel odd n's :
79437 35093 158874*2^35092-1 is prime! Time : 5.142 sec. 114249 48469 228498*2^48468-1 is prime! Time : 9.130 sec. 26 remaining for now, continuing! Jean |

Three new primes found on Riesel odd n's46923 65175 93846*2^65174-1 is prime! Time : 27.638 sec.
75363 120595 150726*2^120594-1 is prime! Time : 112.778 sec. 75873 62419 151746*2^62418-1 is prime! Time : 26.485 sec. Now 23 k's remaining! Jean |

great work, Jean. go!
3 more steps closer to the proof! and ... woooshhhh... results online! |

Correction on Riesel odd-nKarsten,
I'm doing some double-checks up to n=10K and then n=25K on all of the base 2 even-n and odd-n conjectures before incorporating them in my web pages. So far I've checked Riesel odd-n and Sierp odd-n. For Sierp odd-n, the only issues that I found were the n=1 primes already posted here. On Riesel odd-n, I found one error: 84807*2^7389-1 is shown as prime. I found no prime for n<10K for this k so I searched further and found that 84807*2^47389-1 is prime instead. Obviously a missed digit. Thanks, Gary |

ok, got it.
Jean's data post #18 contains: 84807 7389 169614*2^47388-1 is prime! Time : 8.790 sec. and i copied only the first 2 numbers without looking behind! fixed it. good to check twice! |

Karsten/Jean please confirm limits & reservations[quote=Jean Penné;123342]Very nice work, Karsten!
For now, I will try to continue to test the -1, odd n's up to 256K base 2 ( n <= 262144), so I will now unreserve : k = 9519 (even n's, tested now up to n = 581680, no prime...) Best Regards, Jean[/quote] [quote=Jean Penné;123219]Here are my gathered rsults for k*2^n-1 even and odd exponents. (I think all these results would be moved in the new projects as soon as possible...) Even n's, 4 k's remaining to be tested : [code] k tested up to (n base 2) 9519 562416 14361 318510 19401 262578 20049 265144 [/code] Regards, Jean[/quote] Jean and Karsten, Based on the above, I got a little confused because there are differences in this testing shown and what is shown on Karsten's Liskovets-Gallot conjectures web page. My pages are also incorrect due to so many previous posts flying around on these k's for different bases so I am working to correct them. Here is what I think it should be for all related bases: Riesel base 2 even-n: k=9519, test limit 581680; now unreserved k=14361, test limit 318510; reserved by Jean k=19401, test limit 262578; reserved by Jean k=20049, test limit 265144; reserved by Jean Riesel base 4: k=9519, test limit 290840; now unreserved k=14361, test limit 159255; reserved by Jean k=19401, test limit 131289; reserved by Jean k=20049, test limit 132572; reserved by Jean Riesel base 16: k=9519, test limit 145420; now unreserved k=20049, test limit 66286; reserved by Jean (k=14361 and 19401 are trivial base 16) Karsten, Can you correct your Liskovets-Gallot conjectures web page for the above test limits and reservations? Also, are you now working on any of these k's instead of Jean? Thanks, Gary |

More limit and reservations questionsKarsten and Jean,
There are 3 more k's for Riesel base 2 ODD-n, base 4, and base 16 that I need to confirm statuses, reservations, and test limits. Here is what I show for k=13854, 16734, and 19464 and their coharts for Riesel base 2 odd-n k=6927 and 8367: Riesel base 2 odd-n: k=6927, test limit 261945; now unreserved k=8367, test limit 262045; now unreserved Riesel base 4: k=13854, test limit 130972; now unreserved k=16734; test limit 131022; now unreserved k=19464; test limit ??; reserved by Jean Riesel base 16: k=13854, test limit 100000; now unreserved (I tested this one separately to n=100000 since we had a sieved file for it. Odd n's would still need testing separately up to n=200000 base 4) k=16734, test limit 66511; now unreserved k=19464, test limit ??; reserved by Jean Can one or both of you verify that the above is correct? My main question is for Jean: What is your test limit on k=19464? There was an original post that stated n=93672 base 4. And then a later post that stated n=137000 base 2. Since the later post was a lower range, I've become confused. Note that all of this is coming about since I'm now incorporating the base 2 even-n and odd-n conjectures into my web pages. Thanks, Gary |

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