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 2008-06-14, 21:18 #78 gd_barnes     May 2007 Kansas; USA 25·331 Posts I have now completed Sierp base 3 k=10M-30M to n=25K. k's remaining are shown on the reservations pages. Gary
 2008-06-14, 22:41 #79 kar_bon     Mar 2006 Germany 2×5×293 Posts 10 minutes attempt for Sierp Base 3 k=2930054: 2930054*3^25270+1 is prime! Last fiddled with by kar_bon on 2008-06-14 at 22:44
2008-06-15, 08:03   #80
gd_barnes

May 2007
Kansas; USA

25·331 Posts

Quote:
 Originally Posted by kar_bon 10 minutes attempt for Sierp Base 3 k=2930054: 2930054*3^25270+1 is prime!
Nice work Karsten! Now the lowest Sierp base 3 k's without a prime are k=2949008 and 2980832.

If we find primes for those, we'll have primes for all k's < 3M !!

Gary

2008-06-15, 08:12   #81
gd_barnes

May 2007
Kansas; USA

25×331 Posts

Quote:
 Originally Posted by michaf Results from rechecking: the following k's can be removed, as they are already tested as their reduced forms: (div 3^2) Code: 35026848 0 11675616 0 3891872 Is already being tested - remove from list 35445726 0 11815242 0 3938414 Is already being tested - remove from list 38460564 0 12820188 0 4273396 Is already being tested - remove from list 41941962 0 13980654 0 4660218 Is already being tested - remove from list The following can all be divided by 3^3, but are all smaller than the 2930054 lower limit of the smallest under test, so all need to be tested still: Code: 31881438 0 10627146 0 3542382 0 1180794 32450112 0 10816704 0 3605568 0 1201856 39301578 0 13100526 0 4366842 0 1455614 41814252 0 13938084 0 4646028 0 1548676 43458984 0 14486328 0 4828776 0 1609592 44770374 0 14923458 0 4974486 0 1658162 48746988 0 16248996 0 5416332 0 1805444 The following is then the resulting k's that need to be tested between 30M and 50M (91-4= 87 of them) Code: 30032708 30237632 30440162 30494864 30606736 31001156 31257914 31881438 31970080 32373574 32430386 32450112 32565374 32682946 32694076 33040752 33224138 33327064 33381178 33666398 34177186 34960988 35164256 35382962 35581316 35821276 36108932 36173524 36258962 37018368 37063498 37158138 37160146 37535918 38194868 38353046 38804354 38811148 38949832 39191294 39286862 39301578 39321988 39431872 39809884 39834376 40316644 40499588 40677134 40809266 41118464 41413226 41443828 41814252 41996824 42216418 42497116 42636242 42771824 42815302 42965452 43276724 43458984 43469488 44249222 44629166 44770374 46285516 46293816 46428524 46490116 46511144 46891088 46927282 47214478 47628292 47681248 47807146 48501008 48563402 48643334 48652642 48746988 48886226 48953584 49572574 49944938 and again, sorry for forgetting them, and thanks for reminding me. (range 50-100M is now at 80M (to 10k))

OK, I've now had time to do a detailed double-check on all of your k's remaining for k=30M-50M. In addition to the 5 k's that I found that can be eliminated from the last post, here is one more k-value that can be eliminated:

k=33040752 reduces to k=11013584, which has a prime at n=100378.

This leaves 87 - 5 - 1 = 81 k's remaining for k=30M-50M to n=25K. These will shortly be reflected as remaining on the reservations page for this k-range.

Gary

Last fiddled with by gd_barnes on 2008-06-15 at 08:47

 2008-06-15, 08:58 #82 gd_barnes     May 2007 Kansas; USA 25·331 Posts Sierp base 3 is officially completed and checked to k=50M and n=25K. There are 209 k's remaining as shown on the base 3 reservations page. There are 308 k's remaining if you include the k=100M-120M range searched by KEP. Gary
2008-06-16, 17:58   #83

Jan 2006
Hungary

22×67 Posts

Quote:
 Originally Posted by gd_barnes Nice work Karsten! Now the lowest Sierp base 3 k's without a prime are k=2949008 and 2980832. If we find primes for those, we'll have primes for all k's < 3M !! Gary
Just for the heck of it I've sieved 2949008 until n = 100,000. My testing has reached 70,000 but no prime so far.

Continuing, Willem.

2008-06-17, 00:02   #84
michaf

Jan 2005

479 Posts

Quote:
 Originally Posted by gd_barnes OK, I've now had time to do a detailed double-check on all of your k's remaining for k=30M-50M. In addition to the 5 k's that I found that can be eliminated from the last post, here is one more k-value that can be eliminated: k=33040752 reduces to k=11013584, which has a prime at n=100378. This leaves 87 - 5 - 1 = 81 k's remaining for k=30M-50M to n=25K. These will shortly be reflected as remaining on the reservations page for this k-range. Gary
Oh darn :)

I'll have to scratch my head on this... I think I understand now, but at 2:00 am I'm not too sure anymore (just got home from holidays)

Update on 50-100M, all is tested upto 10k now, and some 808 are remaining.
I've started an overnight sieve, and will then go for a one-day prp-ing, and restart sieving if it wasn't done far enough. (Hoping to find enough primes in that one day of course...)

 2008-06-18, 21:30 #85 kar_bon     Mar 2006 Germany 2·5·293 Posts Sierp Base 3: 2980832*3^38101+1 is prime. so only one k < 3M !
2008-06-21, 12:24   #86

Jan 2006
Hungary

22·67 Posts

Quote:
 Originally Posted by Siemelink Just for the heck of it I've sieved 2949008 until n = 100,000. My testing has reached 70,000 but no prime so far. Continuing, Willem.
I reached 100,000 without a prime for this k. I am not continuing. I have too many choices as it is...

Willem.

 2008-06-21, 17:35 #87 kar_bon     Mar 2006 Germany 2·5·293 Posts just sieving/llring all remaining k's <10M (not k=2949008) upto n=100k. current n is 32k and PRP's found so far: 3159992 27396 3234118 31235 7969792 25529 45200 candidates left. Last fiddled with by kar_bon on 2008-06-21 at 17:38
2008-06-21, 18:14   #88
michaf

Jan 2005

479 Posts

Quote:
 Originally Posted by michaf I'm reserving 50-100M upto 25k, so no further gaps will be present
Now at 15k, 523 k's remaining

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