20201222, 11:38  #1145 
Nov 2016
2^{2}·3·5·47 Posts 
Reserve R/S 40
Update sieve files. 
20201222, 11:42  #1146 
Nov 2016
2^{2}×3×5×47 Posts 
Riesel base 145
searched to n=2000, see the text file for the status, 0 if no (probable) prime found for this k
CK=1169 (Condition 1): All k where k = m^2 and m = = 27 or 46 mod 73: for even n let k = m^2 and let n = 2*q; factors to: (m*145^q  1) * (m*145^q + 1) odd n: factor of 73 This includes k = 729 (Condition 2): All k where k = m^2 and m = = 7 or 9 mod 16: for even n let k = m^2 and let n = 2*q; factors to: (m*145^q  1) * (m*145^q + 1) odd n: factor of 2 This includes k = 49, 81, 529, 625 Last fiddled with by sweety439 on 20210211 at 05:33 
20201222, 11:43  #1147 
Nov 2016
2^{2}×3×5×47 Posts 
Riesel base 146
Code:
1,7 2,16 3,3 4,5 5,30 6,2 7,1 Conjecture proven 
20201222, 12:09  #1148 
Nov 2016
2^{2}·3·5·47 Posts 
Riesel base 147
Code:
1,3 2,1 3,2 4,1 5,1 6,1 7,14 8,2 9,1 10,14 11,0 12,112 13,31 14,3 15,46 16,1 17,1 18,2 19,140 20,1 21,1 22,48 23,4 24,1 25,5 26,1 27,2 28,2 29,1 30,1 31,10 32,1 33,619 34,43 35,4 36,(partial algebra factors) 37,1 38,131 39,12 40,1 41,9 42,1 43,20 44,3 45,1 46,1 47,8 48,96 49,0 50,1 51,0 52,1 53,3 54,1 55,0 56,1 57,13 58,0 59,0 60,1 61,1 62,29 63,0 64,169 65,5 66,3 67,2 68,7 69,13 70,1 71,114 72,2 searched to n=2000, 0 if no prime found for this k, this base has many k remain at n=2000, and seems to be lowweight base All k where k = m^2 and m = = 6 or 31 mod 37: for even n let k = m^2 and let n = 2*q; factors to: (m*147^q  1) * (m*147^q + 1) odd n: factor of 37 This includes k = 36 Last fiddled with by sweety439 on 20201223 at 00:35 
20201222, 12:59  #1149 
Nov 2016
5404_{8} Posts 
Tested R63, completed to n=2000
I will completed all (Riesel or Sierpinski) bases with small CK and only tested to n=1000, to n=2000, this includes bases R63, R127, S63, S81, S97, S106 
20201222, 14:47  #1150 
Nov 2016
2^{2}·3·5·47 Posts 
S63 completed to n=2000
Additional primes not in the list: 1108*63^12351+1 888*63^2698+1 (9*63^2162+1)/2 = (567*63^2161+1)/2 
20201222, 15:41  #1151 
Nov 2016
5404_{8} Posts 
Riesel base 148
searched to n=2000, see the text file for the status, 0 if no (probable) prime found for this k
CK=1936 All k where k = m^2 and m = = 44 or 105 mod 149: for even n let k = m^2 and let n = 2*q; factors to: (m*148^q  1) * (m*148^q + 1) odd n: factor of 149 The smallest such k is exactly 1936, thus, no k's proven composite by algebraic factors Last fiddled with by sweety439 on 20210224 at 23:06 
20201222, 15:42  #1152 
Nov 2016
101100000100_{2} Posts 
Riesel base 149
Code:
1,7 2,4 3,1 Conjecture proven 
20201222, 15:47  #1153  
Nov 2016
2^{2}·3·5·47 Posts 
Quote:
this file is the currently status for n<=2000 Note: All k=4*q^4 for all n: let k=4*q^4 and let m=q*3^n; factors to: (2*m^2 + 2m + 1) * (2*m^2  2m + 1) This includes k = 4, 64, 324 Last fiddled with by sweety439 on 20210211 at 05:35 

20201222, 16:25  #1154 
Nov 2016
2^{2}×3×5×47 Posts 
Riesel base 150
searched to n=2000, see the text file for the status, 0 if no (probable) prime found for this k
CK=49074 Only list k == 1 mod 149 since other k are already in CRUS the remain k with k == 1 mod 149 are 30993, 31738 other remain k are {206, 841, 1509, 1962, 3229, 4682, 5245, 5890, 6039, 6353, 6494, 7851, 9061, 9260, 11324, 11477, 11516, 12839, 14373, 16309, 16404, 16424, 16977, 17603, 18859, 19027, 19191, 19226, 20468, 20988, 22238, 22349, 22977, 23396, 23706, 23944, 24614, 24852, 25488, 25704, 25829, 26685, 27032, 28389, 28822, 30050, 31812, 33521, 34429, 34707, 35066, 35344, 36709, 36994, 37137, 39108, 39141, 39712, 39736, 40020, 42012, 42128, 43060, 43789, 44346, 44645, 44832, 46257, 46616, 47717, 48138}, see CRUS Last fiddled with by sweety439 on 20210227 at 06:55 
20201222, 18:01  #1155 
Nov 2016
2^{2}×3×5×47 Posts 
Riesel base 151
Code:
1,13 2,5 3,716 4,15 5,3 6,1 7,4 8,4 9,0 10,1 11,4 12,1 13,9 14,1 15,2 16,9 17,1 18,6 19,4 20,1 21,1 22,20 23,8 24,1 25,0 26,1 27,14 28,1 29,25 30,3 31,2 32,1 33,3 34,45 35,6 36,1 k = 9, 25 remain at n=2000 
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