20060503, 15:24  #1 
Nov 2003
2·1,811 Posts 
17*2^n1
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 highweight 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*2^6053941 (182243 digits) by segmtfault on Sep 19, 2006 17*2^27218301 (819354 digits) by unconnected on Oct 17, 2010 17*2^29465841 (887012 digits) by pepi37 on May 20, 2013 Status Code:
205,0002,695,000 RPS  Complete (1 new prime) 2,695,0002,800,000 unconnected  Complete (17*2^27218301 is prime!) 2,800,0002,840,000 Kosmaj  Complete 2,840,0002,900,000 unconnected  Complete 2,900,0002,916,000 RPS  Complete 2,916,0002,930,000 Kosmaj  Complete 2,930,0003,000,000 pepi37  Complete (17*2^29465841 is prime!) 3,000,0003,010,000 Kosmaj  Complete 3,010,0003,140,000 unconnected  Complete 3,140,0003,150,000 pepi37  Complete 3,150,0003,250,000 unconnected  Complete 3,250,0003,270,000 Kosmaj  Complete 3,270,0003,320,000 unconnected  Complete 3,320,0003,400,000 pepi37  Complete 3,400,0003,420,000 SectorX  Complete 3,420,0003,450,000 Carlos  Complete 3,450,0003,470,000 SectorX  Complete 3,470,0003,490,000 Carlos  Complete 3,490,0003,520,000 SectorX  Complete 3,520,0003.550,000 kracker  Complete 3,550,0003,570,000 SectorX  Complete 3,570,0003,640,000 unconnected  Complete 3,640,0004,000,000 Thomas11  Complete 4,000,0005,000,000 Batalov  Complete (17*2^41075441 is prime) Including all candidates in the 34M 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 20150712 at 15:59 Reason: 4,000,0005,000,000  Complete 
20060503, 15:29  #2 
Nov 2003
2·1,811 Posts 
Known primes
17*2^n1 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 20060922 at 04:13 
20060503, 20:26  #3 
Feb 2003
2^{2}×3^{2}×53 Posts 
I'm taking 250270 (2 files).

20060508, 04:08  #4 
Nov 2003
2·1,811 Posts 
205250 complete, 17*2^2114641 confirmed prime, no other primes found.
Taking 270280. 
20060508, 08:55  #5 
Feb 2003
2^{2}×3^{2}×53 Posts 
250270 complete, no primes found.

20060510, 02:55  #6 
Nov 2004
California
11010101000_{2} Posts 
Taking 280290

20060510, 21:43  #7 
Nov 2004
California
2^{3}×3×71 Posts 
280290 complete, no primes.
Taking 290300 
20060511, 15:05  #8 
Nov 2003
2×1,811 Posts 
Uploading files in the 300350 range sieved to 1400bn.

20060511, 19:40  #9 
Nov 2004
California
2^{3}×3×71 Posts 
290300 complete, no primes
Taking 300310 
20060512, 05:15  #10 
Nov 2003
2×1,811 Posts 
Taking 310320.
Edit: 270280 complete, no primes. Last fiddled with by Kosmaj on 20060512 at 09:13 
20060512, 17:29  #11 
Nov 2004
California
2^{3}·3·71 Posts 
300310 complete, no primes.
Taking 320330 