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Old 2006-05-03, 15:24   #1
Kosmaj
 
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Default 17*2^n-1

k=17 has been reported as continuously tested to n=205,000 but there are 5 more primes found for larger exponents [the largest for n=601158]. With respect to reported n_max, k=17 is by far the largest "hole" in the k<300 group. The intention of this project is to extend the range of tested and reported exponents and to find new primes. k=17, although not a multiple of 3, is a very high-weight k and the probability of new primes for large n's is high. There is also a limited possibility of new primes for n<600k if some ranges were not checked, but there is no way to know.

Since about 3 weeks ago Templus has been sieving k=17 for n in the 205k - 2M range. The first block, n<300k sieved to 850bn is ready for testing. Please consider testing a file or two if you have an idle machine. Thank you.

Found primes
17*2^605394-1 (182243 digits) by segmtfault on Sep 19, 2006
17*2^2721830-1 (819354 digits) by unconnected on Oct 17, 2010
17*2^2946584-1 (887012 digits) by pepi37 on May 20, 2013

Status
Code:
  205,000-2,695,000 RPS         - Complete (1 new prime)
2,695,000-2,800,000 unconnected - Complete (17*2^2721830-1 is prime!)
2,800,000-2,840,000 Kosmaj    	- Complete
2,840,000-2,900,000 unconnected - Complete
2,900,000-2,916,000 RPS        	- Complete
2,916,000-2,930,000 Kosmaj    	- Complete
2,930,000-3,000,000 pepi37    	- Complete (17*2^2946584-1 is prime!)
3,000,000-3,010,000 Kosmaj    	- Complete
3,010,000-3,140,000 unconnected - Complete
3,140,000-3,150,000 pepi37    	- Complete
3,150,000-3,250,000 unconnected - Complete
3,250,000-3,270,000 Kosmaj    	- Complete
3,270,000-3,320,000 unconnected - Complete
3,320,000-3,400,000 pepi37    	- Complete
3,400,000-3,420,000 SectorX   	- Complete
3,420,000-3,450,000 Carlos      - Complete
3,450,000-3,470,000 SectorX   	- Complete
3,470,000-3,490,000 Carlos      - Complete
3,490,000-3,520,000 SectorX   	- Complete
3,520,000-3.550,000 kracker     - Complete
3,550,000-3,570,000 SectorX   	- Complete
3,570,000-3,640,000 unconnected - Complete
3,640,000-4,000,000 Thomas11    - Complete
4,000,000-5,000,000 Batalov     - Complete (17*2^4107544-1 is prime)
Available Files
Including all candidates in the 3-4M range, including already tested ones.
Please help yourself by extracting the range you want to test.
Extensively sieved by Psieve (latest update of August 19, 2013)
k17_3M.zip (39353 candidates)

FFT length of all tests: 192k.

Last fiddled with by Batalov on 2015-07-12 at 15:59 Reason: 4,000,000-5,000,000 - Complete
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Old 2006-05-03, 15:29   #2
Kosmaj
 
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Default Known primes

17*2^n-1 primes for following n's are already known. We'll confirm them as we proceed with tests.

Code:
211464    confirmed
310744    confirmed
310754    confirmed
429318    confirmed (grobie)
601158    confirmed (Kosmaj)

Last fiddled with by Kosmaj on 2006-09-22 at 04:13
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Old 2006-05-03, 20:26   #3
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I'm taking 250-270 (2 files).
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Old 2006-05-08, 04:08   #4
Kosmaj
 
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205-250 complete, 17*2^211464-1 confirmed prime, no other primes found.

Taking 270-280.
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Old 2006-05-08, 08:55   #5
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250-270 complete, no primes found.
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Old 2006-05-10, 02:55   #6
lsoule
 
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Taking 280-290
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Old 2006-05-10, 21:43   #7
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280-290 complete, no primes.
Taking 290-300
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Old 2006-05-11, 15:05   #8
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Uploading files in the 300-350 range sieved to 1400bn.
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Old 2006-05-11, 19:40   #9
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290-300 complete, no primes
Taking 300-310
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Old 2006-05-12, 05:15   #10
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Taking 310-320.

Edit: 270-280 complete, no primes.

Last fiddled with by Kosmaj on 2006-05-12 at 09:13
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Old 2006-05-12, 17:29   #11
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300-310 complete, no primes.
Taking 320-330
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