17*2^n-1

Kosmaj · 2006-05-03, 15:24

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.

Kosmaj · 2006-05-03, 15:29

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)

Thomas11 · 2006-05-03, 20:26

I'm taking 250-270 (2 files).

Kosmaj · 2006-05-08, 04:08

205-250 complete, 17*2^211464-1 confirmed prime, no other primes found.

Taking 270-280.

Thomas11 · 2006-05-08, 08:55

250-270 complete, no primes found.

lsoule · 2006-05-10, 02:55

Taking 280-290

lsoule · 2006-05-10, 21:43

280-290 complete, no primes.
Taking 290-300

Kosmaj · 2006-05-11, 15:05

Uploading files in the 300-350 range sieved to 1400bn.

lsoule · 2006-05-11, 19:40

290-300 complete, no primes
Taking 300-310

Kosmaj · 2006-05-12, 05:15

Taking 310-320.

Edit: 270-280 complete, no primes.

lsoule · 2006-05-12, 17:29

300-310 complete, no primes.
Taking 320-330

2006-05-03, 15:24	#1
Kosmaj Nov 2003 2·1,811 Posts	*172^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** 172^605394-1 (182243 digits) by segmtfault on Sep 19, 2006 172^2721830-1 (819354 digits) by unconnected on Oct 17, 2010 172^2946584-1 (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 (172^2721830-1 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 (172^2946584-1 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 (172^4107544-1 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

2006-05-03, 15:29	#2
Kosmaj Nov 2003 111000100110₂ Posts	Known primes 172^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*

2006-05-12, 05:15	#10
Kosmaj Nov 2003 3622₁₀ Posts	Taking 310-320. Edit: 270-280 complete, no primes. Last fiddled with by Kosmaj on 2006-05-12 at 09:13

2006-05-03, 20:26	#3
Thomas11 Feb 2003 3564₈ Posts	I'm taking 250-270 (2 files).

2006-05-08, 04:08	#4
Kosmaj Nov 2003 3622₁₀ Posts	205-250 complete, 17*2^211464-1 confirmed prime, no other primes found. Taking 270-280.

2006-05-08, 08:55	#5
Thomas11 Feb 2003 11101110100₂ Posts	250-270 complete, no primes found.

2006-05-10, 02:55	#6
lsoule Nov 2004 California 2³×3×71 Posts	Taking 280-290

2006-05-10, 21:43	#7
lsoule Nov 2004 California 2³×3×71 Posts	280-290 complete, no primes. Taking 290-300

2006-05-11, 15:05	#8
Kosmaj Nov 2003 7046₈ Posts	Uploading files in the 300-350 range sieved to 1400bn.

2006-05-11, 19:40	#9
lsoule Nov 2004 California 2³·3·71 Posts	290-300 complete, no primes Taking 300-310

2006-05-12, 17:29	#11
lsoule Nov 2004 California 2³×3×71 Posts	300-310 complete, no primes. Taking 320-330