20140517, 16:48  #1 
"W. Byerly"
Aug 2013
81*2^31743531
85_{16} Posts 
reserving a few k values
Hello, I am reserving k= 4207, 4329, 4347, 4431
so far k= 4207 tested up to 137k with N=26065 as prime. I will update this with my progress. Last fiddled with by Trilo on 20140517 at 16:48 
20140518, 15:07  #2 
"W. Byerly"
Aug 2013
81*2^31743531
7×19 Posts 
4207 tested up to 310k with
26065 173153 as prime n's. 4329 tested up to 160k with the following prime n: 37045 46787 59620 65896 71785 91267 103503 132735 151504 4347 tested up to 160k with the following prime n: 20468 20750 24745 27278 28982 31585 33250 51002 111125 4431 tested up to 160k with the following n as prime: 21441 22417 31963 31969 50089 53511 76069 
20140523, 02:22  #3 
"W. Byerly"
Aug 2013
81*2^31743531
7·19 Posts 
Update:
4207: None [531k] 4329: 162585, 167804, 253699 [260k] 4347: 204833, 234752, 276222 [278k] 4431: None [272k] 
20140528, 14:17  #4 
"W. Byerly"
Aug 2013
81*2^31743531
7·19 Posts 
k=20055
also taking k=20055, already have it tested to ~80k on several cores:
30838, 35343, 36155, 36923, 40674, 41897, 44431, 47145, 59242, 69105, 69398, 72005, 77410 
20141003, 00:48  #5 
"W. Byerly"
Aug 2013
81*2^31743531
10000101_{2} Posts 
Status update
Update:
4207: None [851k] 4329: 263133, 340355, 343403 [427k] 4347: 292512, 330224 [454k] 4431: 293087, 309253, 402299, 410231 [444k] Reserving k= 1423 from n= 1M n= 2M. Already tested to n= 1.25M primes: 1423*2^1205415 1 (362, 870 digits) Also unreserving k= 20055 tested up to 100k no new primes from last report. 
20141012, 04:05  #6 
"W. Byerly"
Aug 2013
81*2^31743531
7×19 Posts 
1423 is now at 1.54M with no new primes.

20141110, 16:32  #7 
"W. Byerly"
Aug 2013
81*2^31743531
133_{10} Posts 
1423 is at n= 2M

20150927, 23:20  #8 
"W. Byerly"
Aug 2013
81*2^31743531
7×19 Posts 
I would like to reserve 1423 on to 3M, and have started testing.

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