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2020-12-22, 11:38   #1145
sweety439

Nov 2016

2,819 Posts

Reserve R/S 40

Update sieve files.
Attached Files
 k.txt (9.2 KB, 30 views) srsieve.log (156 Bytes, 27 views) t16_b40.zip (3.78 MB, 27 views) t17_b40.zip (2.02 MB, 24 views)

2020-12-22, 11:42   #1146
sweety439

Nov 2016

2,819 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
Attached Files
 R145 status.txt (8.3 KB, 22 views)

Last fiddled with by sweety439 on 2021-02-11 at 05:33

 2020-12-22, 11:43 #1147 sweety439   Nov 2016 2,819 Posts Riesel base 146 Code: 1,7 2,16 3,3 4,5 5,30 6,2 7,1 With CK=8 Conjecture proven
 2020-12-22, 12:09 #1148 sweety439   Nov 2016 2,819 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 With CK=73 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 low-weight 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 2020-12-23 at 00:35
2020-12-22, 12:59   #1149
sweety439

Nov 2016

2,819 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
Attached Files
 R63.txt (6.1 KB, 24 views)

2020-12-22, 14:47   #1150
sweety439

Nov 2016

B0316 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
Attached Files
 S63.txt (11.9 KB, 25 views)

2020-12-22, 15:41   #1151
sweety439

Nov 2016

2,819 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
Attached Files
 R148 status.txt (14.7 KB, 11 views)

Last fiddled with by sweety439 on 2021-02-24 at 23:06

 2020-12-22, 15:42 #1152 sweety439   Nov 2016 1011000000112 Posts Riesel base 149 Code: 1,7 2,4 3,1 With CK=4 Conjecture proven
2020-12-22, 15:47   #1153
sweety439

Nov 2016

2,819 Posts

Quote:
 Originally Posted by sweety439 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
S81 reserving to n=5000

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
Attached Files
 S81 status.txt (3.9 KB, 27 views)

Last fiddled with by sweety439 on 2021-02-11 at 05:35

2020-12-22, 16:25   #1154
sweety439

Nov 2016

B0316 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
Attached Files
 R150 status.txt (2.9 KB, 26 views)

Last fiddled with by sweety439 on 2021-02-27 at 06:55

 2020-12-22, 18:01 #1155 sweety439   Nov 2016 2,819 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 With CK=37 k = 9, 25 remain at n=2000

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