k.Mp +/- 1 - Page 2

a1call · 2019-03-20, 08:35

Quicker to prove, perhaps. Easier to find, might be debatable. That still doesn't explain why there is not a single prime of the form in the top 5k.

axn · 2019-03-20, 08:52

Quote:

Originally Posted by a1call

Quicker to prove, perhaps. Easier to find, might be debatable. That still doesn't explain why there is not a single prime of the form in the top 5k.

k*(2^p-1)+1 = k*2^p - (k-1). Top 5000 will list it in its normalized form.

Code:

  579  205833*2^2976222-411665           895938 L4667 2017 
  580  18976*2^2976221-18975             895937 p373  2014 
  581  2^2976221-1                       895932 G2    1997 Mersenne 36

Also 31723 *2^1398273-507567

Please look at the forum that linked above to see what has been done so far.

EDIT:- Hmmm...
280680 · (2^1257787 - 1) + 1
1089904 · (2^1257787 - 1) + 1

a1call · 2019-03-20, 09:12

Not sure if the 1st one fits the bill but the last two certainly do.
You are a much better searcher than I am. My search did not turn up those.
Thank you for the reply.

a1call · 2019-03-20, 09:18

Then again none of them are top 5k, are they?

axn · 2019-03-20, 10:05

Quote:

Originally Posted by a1call

Then again none of them are top 5k, are they?

You mean #579 & #580 are not top 5000?

Here's another one: 46821 · 2^3021380 - 374567 @ 562

a1call · 2019-03-20, 10:18

I was taking about the linked items.
It's early morning here.
Thank you for the alternative listing format. I missed those earlier.

a1call · 2019-12-05, 06:52

I am dabbling in finding Mersenne-Prime-based-Twin-Primes. They are generally eligible for N+/-1 deterministic tests since all the relevant prime factors would be known.
Just getting started so nothing astronomically large yet.

* Everything found using Pari=GP and PFGW
* Nothing bothered to be tested beyond being PRP's.

1.6.M3+/-1
10.6.M3+/-1
11.6.M3+/-1
21.6.M3+/-1
25.6.M3+/-1
26.6.M3+/-1
31.6.M3+/-1
34.6.M3+/-1
41.6.M3+/-1
46.6.M3+/-1
54.6.M3+/-1
55.6.M3+/-1

7.6.M5+/-1
8.6.M5+/-1
15.6.M5+/-1
22.6.M5+/-1
25.6.M5+/-1
27.6.M5+/-1
53.6.M5+/-1
60.6.M5+/-1
63.6.M5+/-1
77.6.M5+/-1

24.6.M7+/-1
30.6.M7+/-1
46.6.M7+/-1
49.6.M7+/-1
65.6.M7+/-1
101.6.M7+/-1
115.6.M7+/-1
119.6.M7+/-1
129.6.M7+/-1
149.6.M7+/-1
166.6.M7+/-1
175.6.M7+/-1
179.6.M7+/-1
231.6.M7+/-1
280.6.M7+/-1
305.6.M7+/-1
311.6.M7+/-1

367.6.M13+/-1
437.6.M13+/-1
493.6.M13+/-1
542.6.M13+/-1
592.6.M13+/-1
595.6.M13+/-1
623.6.M13+/-1
663.6.M13+/-1
672.6.M13+/-1
690.6.M13+/-1
697.6.M13+/-1

715.6.M17+/-1
833.6.M17+/-1
883.6.M17+/-1
893.6.M17+/-1
967.6.M17+/-1
970.6.M17+/-1
987.6.M17+/-1
1018.6.M17+/-1
1075.6.M17+/-1

24.6.M19+/-1
56.6.M19+/-1
101.6.M19+/-1
119.6.M19+/-1
201.6.M19+/-1
214.6.M19+/-1
311.6.M19+/-1

39.6.M31+/-1
131.6.M31+/-1
206.6.M31+/-1
290.6.M31+/-1

602.6.M61+/-1
740.6.M61+/-1

112.6.M89+/-1
265.6.M89+/-1

371.6.M107+/-1

184.6.M127+/-1

5772.6.M521+/-1

44649.6.M607+/-1
60840.6.M607+/-1
97769.6.M607+/-1
108911.6.M607+/-1
110320.6.M607+/-1
115411.6.M607+/-1
124801.6.M607+/-1

61939.6.M1279+/-1

Please feel free to add to the collection.

a1call · 2019-12-06, 03:06

151505.6.M2203 +/- 1 are minimal Twin-Primes for M2203 with 670 dd each.

ETA:
http://factordb.com/index.php?query=...E2203-1%29%2B1
http://factordb.com/index.php?query=...%5E2203-1%29-1

http://factordb.com/index.php?query=...E1279-1%29%2B1
http://factordb.com/index.php?query=...%5E1279-1%29-1

a1call · 2019-12-07, 00:17

64125.6.M2281 +/- 1 are minimal Twin-Primes for M2281 with 693 dd each.

ETA:
http://factordb.com/index.php?query=...E2281-1%29%2B1
http://factordb.com/index.php?query=...%5E2281-1%29-1

a1call · 2019-12-08, 00:32

533040.6.M3217 +/- 1 are a pair of minimal Twin-Primes for M3217 with 975 dd each.

Found using Pari-GP and PFGW.

ETA:
http://factordb.com/index.php?query=...E3217-1%29%2B1
http://factordb.com/index.php?query=...%5E3217-1%29-1

paulunderwood · 2019-12-08, 00:39

Quote:

Originally Posted by a1call

533040.6.M3217 +/- 1 are a pair of minimal Twin-Primes for M3217 with 975 dd each.

Found using Pari-GP and PFGW.

How do you use Pari/GP in this venture?

2019-12-06, 03:06	#19
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 3×5×137 Posts	151505.6.M2203 +/- 1 are minimal Twin-Primes for M2203 with 670 dd each. ETA: http://factordb.com/index.php?query=...E2203-1%29%2B1 http://factordb.com/index.php?query=...%5E2203-1%29-1 http://factordb.com/index.php?query=...E1279-1%29%2B1 http://factordb.com/index.php?query=...%5E1279-1%29-1 Last fiddled with by a1call on 2019-12-06 at 03:48

2019-12-07, 00:17	#20
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 3×5×137 Posts	64125.6.M2281 +/- 1 are minimal Twin-Primes for M2281 with 693 dd each. ETA: http://factordb.com/index.php?query=...E2281-1%29%2B1 http://factordb.com/index.php?query=...%5E2281-1%29-1 Last fiddled with by a1call on 2019-12-07 at 00:19

2019-12-08, 00:32	#21
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 3·5·137 Posts	533040.6.M3217 +/- 1 are a pair of minimal Twin-Primes for M3217 with 975 dd each. Found using Pari-GP and PFGW. ETA: http://factordb.com/index.php?query=...E3217-1%29%2B1 http://factordb.com/index.php?query=...%5E3217-1%29-1 Last fiddled with by a1call on 2019-12-08 at 00:35

2019-03-20, 08:35	#12
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 3×5×137 Posts	Quicker to prove, perhaps. Easier to find, might be debatable. That still doesn't explain why there is not a single prime of the form in the top 5k.

2019-03-20, 09:12	#14
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 3·5·137 Posts	Not sure if the 1st one fits the bill but the last two certainly do. You are a much better searcher than I am. My search did not turn up those. Thank you for the reply.

2019-03-20, 09:18	#15
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 3×5×137 Posts	Then again none of them are top 5k, are they?

2019-03-20, 10:18	#17
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 3·5·137 Posts	I was taking about the linked items. It's early morning here. Thank you for the alternative listing format. I missed those earlier.

2019-12-05, 06:52	#18
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 100000000111₂ Posts	I am dabbling in finding Mersenne-Prime-based-Twin-Primes. They are generally eligible for N+/-1 deterministic tests since all the relevant prime factors would be known. Just getting started so nothing astronomically large yet. * Everything found using Pari=GP and PFGW * Nothing bothered to be tested beyond being PRP's. 1.6.M3+/-1 10.6.M3+/-1 11.6.M3+/-1 21.6.M3+/-1 25.6.M3+/-1 26.6.M3+/-1 31.6.M3+/-1 34.6.M3+/-1 41.6.M3+/-1 46.6.M3+/-1 54.6.M3+/-1 55.6.M3+/-1 7.6.M5+/-1 8.6.M5+/-1 15.6.M5+/-1 22.6.M5+/-1 25.6.M5+/-1 27.6.M5+/-1 53.6.M5+/-1 60.6.M5+/-1 63.6.M5+/-1 77.6.M5+/-1 24.6.M7+/-1 30.6.M7+/-1 46.6.M7+/-1 49.6.M7+/-1 65.6.M7+/-1 101.6.M7+/-1 115.6.M7+/-1 119.6.M7+/-1 129.6.M7+/-1 149.6.M7+/-1 166.6.M7+/-1 175.6.M7+/-1 179.6.M7+/-1 231.6.M7+/-1 280.6.M7+/-1 305.6.M7+/-1 311.6.M7+/-1 367.6.M13+/-1 437.6.M13+/-1 493.6.M13+/-1 542.6.M13+/-1 592.6.M13+/-1 595.6.M13+/-1 623.6.M13+/-1 663.6.M13+/-1 672.6.M13+/-1 690.6.M13+/-1 697.6.M13+/-1 715.6.M17+/-1 833.6.M17+/-1 883.6.M17+/-1 893.6.M17+/-1 967.6.M17+/-1 970.6.M17+/-1 987.6.M17+/-1 1018.6.M17+/-1 1075.6.M17+/-1 24.6.M19+/-1 56.6.M19+/-1 101.6.M19+/-1 119.6.M19+/-1 201.6.M19+/-1 214.6.M19+/-1 311.6.M19+/-1 39.6.M31+/-1 131.6.M31+/-1 206.6.M31+/-1 290.6.M31+/-1 602.6.M61+/-1 740.6.M61+/-1 112.6.M89+/-1 265.6.M89+/-1 371.6.M107+/-1 184.6.M127+/-1 5772.6.M521+/-1 44649.6.M607+/-1 60840.6.M607+/-1 97769.6.M607+/-1 108911.6.M607+/-1 110320.6.M607+/-1 115411.6.M607+/-1 124801.6.M607+/-1 61939.6.M1279+/-1 Please feel free to add to the collection.