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Old 2021-06-15, 22:03   #1233
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default Riesel base 198

Code:
1,2
198,1
395,1
592,2
789,143
986,1
1183,4
1380,2
1577,75
1774,1
1971,2
2168,1
2365,1
2562,14
2759,43
2956,1
3153,1
3350,2
3547,2
With CK=3662

Only list k == 1 mod 197 since other k are already in CRUS

no remain k with k == 1 mod 197, totally list of the remain k is {81, 172, 424, 464, 484, 529, 991, 1037, 1054, 1262, 1283, 1792, 1856, 1920, 2253, 2272, 2304, 2445, 2577, 2787, 2811, 2934, 3103, 3207, 3305, 3329, 3342, 3602, 3649}, all remain at n=100K, see CRUS
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Old 2021-06-15, 22:04   #1234
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

290510 Posts
Default Riesel base 199

Code:
1,577
2,1
3,24
4,(partial algebra factors)
5,3
6,1
7,104
8,5
With CK=9

All k where k = m^2 and m = = 2 or 3 mod 5:
for even n let k = m^2 and let n = 2*q; factors to:
(m*199^q - 1) * (m*199^q + 1)
odd n:
factor of 5

This includes k = 4

Conjecture proven
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Old 2021-06-15, 22:10   #1235
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default Riesel base 200

Code:
1,17807
2,2
3,1
4,7
5,2
6,2
7,1
8,16
9,3
10,1
11,16
12,1
13,12053
14,54
15,1
16,89
17,2
18,34
19,29809
20,2
21,2
22,5
23,31566
24,1
25,1
26,2
27,1
28,9
29,4
30,2
31,1
32,16
33,1
34,27
35,2
36,83
37,597
38,131900
39,3
40,15
41,2
42,3
43,1
44,12
45,1
46,1
47,18
48,4
49,5
50,4
51,44252
52,1
53,45666
54,1
55,3
56,14
57,1
58,102363
59,4
60,7
61,5
62,126
63,6
64,1
65,2
66,2
67,1
With CK=68

k=1 prime given by generalized repunit prime search

other primes with n>10000 given by CRUS

Conjecture proven

Last fiddled with by sweety439 on 2021-06-15 at 22:10
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Old 2021-06-15, 23:30   #1236
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5×7×83 Posts
Default

https://docs.google.com/document/d/e...BtKeLncFwD/pub

I am now also building the table of the first 4 Riesel/Sierpinski conjectures, will done to bases <=64 (except bases which have larger conjectures, such as SR3, SR6, SR15), this is the word file for the Riesel side (now done to base 32)

Last fiddled with by sweety439 on 2021-06-15 at 23:31
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Old 2021-06-16, 22:30   #1237
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default

Quote:
Originally Posted by sweety439 View Post
R12 currently at n=21760, no other primes found.
1132*12^28717-1 is prime!!!

The 4th conjecture of R12 is proven!!!

(this prime is my largest proven prime, i.e. PRPs are not counted)

Last fiddled with by sweety439 on 2021-06-16 at 22:31
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Old 2021-06-16, 22:56   #1238
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

55318 Posts
Default

R165, the last k, no (probable) prime found, likely at n>=12K
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Old 2021-06-17, 21:06   #1239
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5×7×83 Posts
Default

R106 searched to n=2000

Status file attached.
Attached Files
File Type: txt R106.txt (112.4 KB, 12 views)
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Old 2021-06-17, 22:15   #1240
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5·7·83 Posts
Default

Update status for S40:

Code:
k    n
344    1436
1098   1910
1169
1229
1415
1600
2012   1299
2215
2294
2338
2543
2768   2091
2789
2951
2957
3050
3281
3656   1178
3689
3812
3935
4127   1389
4224
4388
4468
4514   1372
4565
4586   1705
4675
4742
4757   2106
4820
4835   2004
4883   1986
4943
5003
5042
5126
5165   1199
5372
5414
5477
5698   1051
5700   1010
5944
6014   1280
6095
6376
6413   1320
6563   1748
6689
7051
7076   2087
7092
7172   1169
7299
7319   1515
7404   1542
7552   1941
7586
7707   1647
7934
8117   1721
8165
8255
8273
8283
8324   2122
8362
8363
8552
8624
8792
8978
8980   1064
9090
9101
9221
9224
9238
9731
9935   1396
9964
10112  1576
10187
10261  1111
10639  1283
10652
10661
10690
10741  1397
10762
10988  1001
11112
11192  1681
11195
11293  1843
11306  2078
11356  1203
11358  1032
11438
11522
11635  1494
11645
11684
11750
12164  2073
12422
12668
12791  1755
12955
12994  1418
13025
13094
13193
13283
13324  1129
13406
13445
13904  1075
13970
14103  1193
14465
14510
14555
14679
14730  1659
14759
14816
14909
15104
15130
15263
15284
15292  1289
15374
15417
15579
15581
15702  1271
15803
15989
16235
16319
16445
16481
16768
16850
17303
17465
17477
17957
18083  2097
18146
18164
18285
18365
18386
18398  1293
18410  1518
18491  1194
18572
18613  1321
18692
18695
18779  1068
18818
18859  1231
19037  1376
19073  1035
19187
19202
19213
19280
19394
19570  1066
19640  1266
19884
20051
20124
20198
20213  1474
20214
20267
20318
20376
20402
20540
20870
20894
20951
20963
21026
21032
21176
21196
21207  1455
21407
21895
22016  1121
22057
22136
22327  1931
22426  2095
22467
22671
22945  1867
22961
23042  1209
23123
23189  1162
23201
23246
23342
23371
23479  1157
23492  1337
23582
23621  1098
23741
23799  1196
23816  1041
23984
24085  1793
24167
24221
24437
24476
24519  1228
24594
24599
25337
25501
25624  1251
25667
25799  1198
26006
26036
26075
26198
26241
26255
26387
26731
26815
26855
26921  1064
26947  1300
26987  1177
26990
27102  1120
27182
27389
27430
27464
27614  1601
27653  1003
27948
28332
28382
28496
28535  2019
28552  1472
28578
28619
28778
29045
29108
29150
29291
29342
29603
29642
29849  1110
29972
30227  1294
30236
30269
30344
30503
30505
30546  1164
30608
30647
30751
31079
31088
31220
31226
31418  1186
31489
31538
31733
31770
31928
31952  1442
32078
32206  1601
32375  1103
32512
32555
32637
32660  1150
32678
32717
32756  1011
33065
33158
33170
33211
33344
33482  1944
33581
33662
33764
33785
33827
33913
33929
33959
34029
34175  1436
34505  1424
34646
34709
34748  1418
34808
35188  1529
35333
35375
35382
35384
35390
35417
35429  1290
35507
35519  1072
35546
35552
35612  1718
35669
35822
35828
35835
35837
35894
35999
36011
36101
36163  1512
36170  1721
36185
36243  1049
36368
36436  1697
36655
36668  1016
36808
36824
37205
37229
37268
37358  1460
37391
37514  1943
37577
37703
38023  1751
38047
38084  1900
38252
38306
38324
38334  1321
38378
38664
38763
38825
38828
38900  1584
38951
38980  1061
39014
39115
39119
39180  1003
39230
39525
39722
39743  1859
39853  1232
40438  1549
40517  1283
40667
40878
40940
41165  1564
41411
41444
41450
41479
41695  1032
41696
41750  1348
41798
41819
41999
42106
42230  2079
42473  1161
42899
43019
43058  1925
43174
43295
43334  1619
43499  1640
43727  1275
43787
43830
43892
43994
44238
44279
44447  1308
44546
44617
44665  1180
44732
44759  1637
44894
44969  1072
45222
45272  1248
45676  1596
46337  1815
46370
46698
46709
46862
46925
46987  1266
47155
47272
47276
47429  1618
47559
47561
47582
47684
47693
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Old 2021-06-17, 22:15   #1241
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

5×7×83 Posts
Default

Update status for R40:

Code:
k    n
157
490    2238
520    1329
534
618
709
739
787
862
955    1958
1067
1114
1174
1242   2067
1352
1544
1559
1762
1795   1750
1805
2254
2290   1132
2830   2703
2887
3033   1336
3034   1085
3156   1834
3342   1097
3361   2596
3418
3650
3750   1612
3830
3859   1487
3922   1518
4006
4132   1091
4183   1065
4219   1017
4297   2662
4582
4673
4724   1466
4771
5218   1020
5233   1032
5308   1259
5431   1756
5629   1113
6107
6192   1133
6220   1207
6436   1562
6463
6582   1541
6618   1054
6682
6684
6709
6946
7089   1303
7094
7126   1158
7258
7282
7381
7504
7602   1027
7678   1027
7702
7795
8032   2104
8035
8173   1484
8461
8572
8899   1091
8959   1212
9121   1374
9226
9347
9424   1757
9472
9511   1670
9716
9748
9874   2318
9964
10003  2052
10060  2445
10285
10615
10744
11030
11470
11479
11560
11847
11971
12178
12193
12226
12250
12256  1356
12299
12301
12422  1692
12505  1818
12544  1377
12547  1337
12568
12709  1022
12742
12750  1082
12873  1174
13005
13022
13039
13165
13191
13212  2252
13624
13666
13777
13894  1097
13939
14146
14262
14272  1109
14362  1472
14494
14513  1696
14636  2486
14766  1371
14802
14980
15046  1236
15154  1736
15271  2448
15374
15376  1297
15388  1113
15417
15496
15579  1028
15661
15730
15907  2254
15967  1657
16108  1293
16235  1716
16579
16705
16728
16891
16897  1342
16932
17014
17137  1828
17275
17287  1599
17344
17536
17653  1165
17707  1092
17801  1590
17860  1120
17896  2581
17923
17998
18114  2652
18292  1612
18397  1282
18697  2695
18787  1416
18818  1366
18853
18949
19117
19310
19510  1070
19606
19722
19751
19756  1625
19761
19780
19825
19927
20158
20212
20253  2584
20428
20458
20479
20491  2196
20583
20632
20747
20788
20809
21058  1752
21082  1600
21276
21321
21403  2125
21493
21731
21817
21895
21975  1308
22114  1072
22130  1005
22262
22263  1101
22303
22344
22570  1547
22706  1645
22879
23371
23615
23851  2374
24184
24189  2562
24268
24337
24397  1050
24421
24448  1219
24483  1202
24519  2511
24805  2507
24979
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Old 2021-06-18, 00:30   #1242
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

290510 Posts
Default

update PRGW result file for SR40 (I only filled the list up to the prime (8324*40^2122+1)/gcd(8324+1,40-1))
Attached Files
File Type: log pfgw.log (15.8 KB, 13 views)
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Old 2021-06-20, 03:31   #1243
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

290510 Posts
Default

All remain k for R40 are searched to n=5000:

Code:
157,0
490,2238
520,1329
534,0
618,0
709,0
739,0
787,0
862,0
955,1958
1067,0
1114,0
1174,0
1242,2067
1352,3392
1544,3450
1559,0
1762,3336
1795,1750
1805,0
2254,0
2290,1132
2830,2703
2887,0
3033,1336
3034,1085
3156,1834
3342,1097
3361,2596
3418,0
3650,0
3750,1612
3830,2924
3859,1487
3922,1518
4006,0
4132,1091
4183,1065
4219,1017
4297,2662
4582,0
4673,0
4724,1466
4771,0
5218,1020
5233,1032
5308,1259
5431,1756
5629,1113
6107,0
6192,1133
6220,1207
6436,1562
6463,0
6582,1541
6618,1054
6682,0
6684,0
6709,3760
6946,0
7089,1303
7094,0
7126,1158
7258,0
7282,0
7381,0
7504,0
7602,1027
7678,1027
7702,0
7795,0
8032,2104
8035,0
8173,1484
8461,0
8572,0
8899,1091
8959,1212
9121,1374
9226,0
9347,0
9424,1757
9472,0
9511,1670
9716,0
9748,0
9874,2318
9964,0
10003,2052
10060,2445
10285,0
10615,0
10744,0
11030,0
11470,0
11479,0
11560,0
11847,0
11971,4360
12178,0
12193,0
12226,3750
12250,0
12256,1356
12299,0
12301,0
12422,1692
12505,1818
12544,1377
12547,1337
12568,0
12709,1022
12742,0
12750,1082
12873,1174
13005,0
13022,0
13039,0
13165,4713
13191,0
13212,2252
13624,0
13666,0
13777,0
13894,1097
13939,0
14146,0
14262,0
14272,1109
14362,1472
14494,0
14513,1696
14636,2486
14766,1371
14802,2935
14980,4579
15046,1236
15154,1736
15271,2448
15374,0
15376,1297
15388,1113
15417,0
15496,0
15579,1028
15661,0
15730,0
15907,2254
15967,1657
16108,1293
16235,1716
16579,0
16705,0
16728,3289
16891,0
16897,1342
16932,0
17014,0
17137,1828
17275,0
17287,1599
17344,0
17536,4845
17653,1165
17707,1092
17801,1590
17860,1120
17896,2581
17923,0
17998,0
18114,2652
18292,1612
18397,1282
18697,2695
18787,1416
18818,1366
18853,2964
18949,0
19117,0
19310,0
19510,1070
19606,0
19722,0
19751,4554
19756,1625
19761,0
19780,4400
19825,0
19927,0
20158,0
20212,0
20253,2584
20428,0
20458,0
20479,4917
20491,2196
20583,0
20632,3078
20747,4471
20788,0
20809,2906
21058,1752
21082,1600
21276,0
21321,0
21403,2125
21493,0
21731,3999
21817,0
21895,0
21975,1308
22114,1072
22130,1005
22262,0
22263,1101
22303,0
22344,0
22570,1547
22706,1645
22879,0
23371,0
23615,3620
23851,2374
24184,2780
24189,2562
24268,0
24337,0
24397,1050
24421,4047
24448,1219
24483,1202
24519,2511
24805,2507
24979,0
S40 only for k<=26255: (also searched to n=5000)

Code:
344,1436
1098,1910
1169,0
1229,0
1415,0
1600,0
2012,1299
2215,0
2294,0
2338,0
2543,0
2768,2091
2789,0
2951,0
2957,0
3050,0
3281,0
3656,1178
3689,0
3812,0
3935,0
4127,1389
4224,0
4388,0
4468,0
4514,1372
4565,0
4586,1705
4675,0
4742,0
4757,2106
4820,0
4835,2004
4883,1986
4943,3035
5003,0
5042,0
5126,0
5165,1199
5372,0
5414,4413
5477,4683
5698,1051
5700,1010
5944,0
6014,1280
6095,2334
6376,3987
6413,1320
6563,1748
6689,0
7051,0
7076,2087
7092,0
7172,1169
7299,4564
7319,1515
7404,1542
7552,1941
7586,0
7707,1647
7934,0
8117,1721
8165,3795
8255,0
8273,2289
8283,0
8324,2122
8362,0
8363,0
8552,2409
8624,4892
8792,0
8978,0
8980,1064
9090,0
9101,0
9221,0
9224,0
9238,2171
9731,0
9935,1396
9964,0
10112,1576
10187,0
10261,1111
10639,1283
10652,3802
10661,0
10690,4555
10741,1397
10762,0
10988,1001
11112,0
11192,1681
11195,0
11293,1843
11306,2078
11356,1203
11358,1032
11438,0
11522,2546
11635,1494
11645,0
11684,0
11750,3654
12164,2073
12422,0
12668,0
12791,1755
12955,0
12994,1418
13025,0
13094,2176
13193,0
13283,0
13324,1129
13406,0
13445,0
13904,1075
13970,0
14103,1193
14465,2621
14510,4148
14555,4988
14679,3720
14730,1659
14759,3493
14816,2744
14909,3403
15104,0
15130,3212
15263,0
15284,0
15292,1289
15374,0
15417,4860
15579,0
15581,0
15702,1271
15803,4136
15989,0
16235,0
16319,0
16445,0
16481,0
16768,0
16850,0
17303,4570
17465,0
17477,0
17957,0
18083,2097
18146,0
18164,0
18285,0
18365,0
18386,4526
18398,1293
18410,1518
18491,1194
18572,0
18613,1321
18692,0
18695,0
18779,1068
18818,0
18859,1231
19037,1376
19073,1035
19187,2375
19202,0
19213,0
19280,0
19394,0
19570,1066
19640,1266
19884,0
20051,2689
20124,0
20198,0
20213,1474
20214,4342
20267,0
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