Currently status for SR58:

S58:

[CODE]
k n
20 1340
58
122
176
222
266
296 1892
392 1222
431
437
461
[/CODE]

R58:

[CODE]
k n
71
130
169
178
319
382
400 5245
421 4526
456
487 1412
493
499
[/CODE]

Currently status for R36:

[CODE]
k n
251 1504
260 1315
924 2126
1148
1356 1230
1555
1923 2120
2110
2133
2443 5987
2753 7310
2776 5057
3181 1476
3590 4593
3699
3826 1834
3942 1425
4241 3528
4330 2939
4551
4635 1330
4737
4865 1181
5027 1119
5196 2235
5339 1310
5483 1479
5581 2618
5615 2456
5791 3878
5853 1163
6069 4353
6236
6542 2387
6581 1900
6873 1134
6883
7101 3048
7253
7316 4182
7362
7399
7445 4785
7617 1946
7631 1471
7991
8250
8259 6371
8321 1610
8361
8363
8472
8696 1117
9140 1109
9156 1030
9201 3153
9469 2950
9491
9582
10695 6672
10913 4118
11010 2766
11014
11143 1872
11212 6403
11216
11434 1231
11568 1570
11904 1279
12174 1645
12320
12653
12731 1354
12766 1359
13641
13800
14191 2462
14358
14503 2340
14540
14799 1454
14836
14973
14974
15228
15578 2733
15656 6611
15687
15756
15909
16168
16908 4132
17013 1539
17107 3264
17354
17502
17648 1630
17749 4275
17881 5205
17946
18203
18342 1045
18945 3993
19035
19315 6319
19389
19572 4896
19646
19907
20092
20186
20279 4042
20485
20630
20684
21162 1320
21415 3236
21880
22164
22312
22793 1419
23013 2934
23126 6343
23182 1320
23213
23441 4950
23482 5314
23607 1627
23621 2240
23792 1027
23901
23906
23975 1290
24125 1557
24236
24382
24556 3870
24645
24731
24887
24971 1132
25011
25052 1421
25159
25161
25204
25679
25788
25831 1633
26107 5574
26160
26355
26382 2087
26530 1101
26900 2271
27161
27262 1043
27296 7115
27342 1974
27680 2913
27901 1289
28416 7315
28846 1252
28897 2125
29199 1180
29266 1510
29453
29741 1838
29748 1314
29847
30031 3896
30161 1445
30970
31005
31190 5320
31326 3222
31414 4817
31634
31673 1225
31955 6185
32154 1703
32302
32380 7190
32411 1736
32451 1913
32522 1634
32668 1061
32811 4462
33047
33516 4038
33627
33686 3520
33762 1052
[/CODE]

Update the sieve files.

Now, I stopped the searching (avoid waste time) and only continue to search the k's that still not have prime (and delete the k's which are already in CRUS (i.e. gcd(k+-1,b-1) is 1)

[QUOTE=sweety439;545475]Currently status for SR46:

S46:

[CODE]
k n
17 4920
140 2105
278 1788
347 1287
563
619 2005
729 1006
845
[/CODE]

R46:

[CODE]
k n
86
100 2955
281
386 2425
436
561 5011
576 3659
800
[/CODE][/QUOTE]

k's still remain

S46: 563, 845

R46: 86, 281, 436, 800 (k=800 has been searched by CRUS, at n=500K with no prime found)

Top 10 primes:

S46:

[CODE]
283 (21198)
17 (4920)
140 (2105)
619 (2005)
278 (1788)
347 (1287)
729 (1006)
95 (446)
229 (443)
871 (405)
[/CODE]

R46:

[CODE]
870 (51699)
93 (24162)
561 (5011)
576 (3659)
100 (2955)
386 (2425)
338 (1478)
597 (950)
121 (935)
354 (591)
[/CODE]

[QUOTE=sweety439;545476]Currently status for SR58:

S58:

[CODE]
k n
20 1340
58
122
176
222
266
296 1892
392 1222
431
437
461
[/CODE]

R58:

[CODE]
k n
71
130
169
178
319
382
400 5245
421 4526
456
487 1412
493
499
[/CODE][/QUOTE]

k's still remain:

S58: 58, 122, 176, 222, 266, 431, 437, 461 (k=58 has been searched by Generalized Fermat Search, at n=2^24-2 with no prime found; k=222 has been searched by CRUS, at n=125K with no prime found)

R58: 71, 130, 169, 178, 319, 382, 456, 493, 499 (k=71 and 456 has been searched by CRUS, at n=100K with no prime found)

Top 10 primes:

S58:

[CODE]
178 (25524)
297 (11508)
241 (1964)
296 (1892)
393 (1831)
106 (1795)
228 (1603)
20 (1340)
392 (1222)
21 (1031)
[/CODE]

R58:

[CODE]
400 (5245)
421 (4526)
176 (2854)
473 (1641)
487 (1412)
312 (1079)
334 (724)
53 (645)
457 (492)
527 (474)
[/CODE]

Update the sieve file for R36

Update new sieve for SR46

Update new sieve for SR58

[QUOTE=sweety439;545505]Update new sieve for SR58[/QUOTE]

The R58 sieve file has 1.04MB (>1.00MB, the limit of the text files), thus I zipped it.

Found (probable) primes:

[CODE]
(382*58^7188-1)/gcd(382-1,58-1)
(266*58^9040+1)/gcd(266+1,58-1)
[/CODE]

No other (probable) primes found for SR46

Update newest text files