Base Values of n
3 2, 8, 32, 54, 114, 414, 1400, 1850 Dubner 1989
2848 Dubner (T5K Dec 1989)
4874 Dubner (T5K Dec 1989)
7268 Keller Oct 1998 (missed by Dubner), Chun Wa Lau (T5K Jan 2000)
19290 Keller (T5K Nov 1998)
337590 Predrag Minovic (T5K Jun 2006)
1183414 Predrag Minovic (T5K Jan 2014)
1308596 Mark Rodenkirch (T5K Jul 2023)
2220172 Mark Rodenkirch (T5K Sep 2023)
9145334 Ryan Propper (T5K Dec 2023)
Dubner 1989: checked to 7781
Keller 1999: checked to 48949
Löh 2002: checked to 166817
Predrag Minovic 2014: checked to 1200000
Mark Rodenkirch 2023: checked to 3000000
Ryan Propper 2023: checked to 5000000
4 1, 3, 7, 33, 67, 223, 663, 912, 1383 Dubner 1989
3777 Dubner (T5K Dec 1989)
3972 Dubner (T5K Dec 1989)
10669 Löh Dec 2000
48375 Kazuyoshi Asao (T5K Jul 1999)
1740349 Ryan Propper (T5K Jul 2023)
Dubner 1989: checked to 6107
Keller 2000: checked to 10046
Löh 2002: checked to 108769
Steven Harvey 2004: checked to 250000
Mark Rodenkirch 2023: checked to 500000
Ryan Propper 2023: checked to 2000000
5 1242 Dubner 1989
18390 Keller (T5K Nov 1998)
5778486 Ryan Propper (T5K Aug 2024)
Dubner 1989: checked to 6189
Keller 1999: checked to 29357
Löh 2012: checked to 380283
Mark Rodenkirch 2023: checked to 500000
Ryan Propper 2023: checked to 2000000
6 1, 2, 91, 185, 387, 488, 747, 800 Dubner 1989
9901 Keller (T5K Nov 1998)
10115 Keller (T5K Nov 1998)
12043 Keller (T5K Nov 1998)
13118 Keller (T5K Nov 1998)
30981 Löh (T5K Jan 2000)
51496 Löh (T5K Jun 2000)
515516 Ryan Propper Jul 2023
1644731 Ryan Propper (T5K Jul 2023)
2240501 Ryan Propper (T5K Jul 2023)
4392300 Ryan Propper (T5K Sep 2023)
4450871 Ryan Propper (T5K Sep 2023)
4582770 Ryan Propper (T5K Dec 2023)
Dubner 1989: checked to 4509
Keller 1999: checked to 18549
Löh 2006: checked to 123669
Geoffrey Reynolds 2011: checked to 200000
Mark Rodenkirch 2023: checked to 500000
Ryan Propper 2023: checked to 2000000
7 34 Dubner 1989
1980 Dubner (T5K Dec 1989)
9898 Keller (T5K Nov 1998)
474280 Mark Rodenkirch May 2023
Dubner 1989: checked to 4415
Keller 1999: checked to 27927
Löh 2005: checked to 255681
Mark Rodenkirch 2023: checked to 500000
Ryan Propper 2023: checked to 2000000
8 5, 17, 23 Dubner 1989
1911 Dubner (T5K Dec 1989)
20855 Jo Yeong Uk (T5K Dec 1999)
35945 Jo Yeong Uk (T5K Dec 1999)
42816 Kazuyoshi Asao (T5K Jul 1999)
749130 Serge Batalov (T5K Jun 2013)
Dubner 1989: checked to 4768
Keller 2000: checked to 7629
Löh 2004: checked to 106574
Steven Harvey 2004: checked to 166666
Serge Batalov 2018: checked to 800000
9 2 Dubner 1989
12382 Löh (T5K Jan 2000)
27608 Löh (T5K Jan 2000)
31330 Löh (T5K Feb 2000)
117852 Löh (T5K Jan 2002)
Dubner 1989: checked to 4895
Keller 1999: checked to 8021
Löh 2010: checked to 222431
Mark Rodenkirch 2023: checked to 500000
10 1, 3, 9, 21, 363 Dubner 1989
2161 Dubner (T5K Dec 1989)
4839 Dubner (T5K Dec 1989)
49521 Löh (T5K Aug 1999)
105994 Löh (T5K Nov 2000)
207777 Löh (T5K Feb 2010)
403765 Mark Rodenkirch May 2023
Dubner 1989: checked to 5228
Keller 1999: checked to 23490
Löh 2014: checked to 274178
Mark Rodenkirch 2023: checked to 500000
11 10 Dubner 1989
Dubner 1989: checked to 3899
Keller 1999: checked to 7829
Löh 2011: checked to 214215
Serge Batalov 2013: checked to 600000
Oliver Kruse 2025: checked to 1688232
12 1, 8, 247 Dubner 1989
3610, 4775 Keller Feb 2000
19789 Löh (T5K Jun 2000)
187895 Löh (T5K Nov 2010)
345951 Yao Chen Feb 2022
Dubner 1989: checked to 3260
Keller 2000: checked to 9410
Löh 2012: checked to 256588
13 None
Dubner 1989: checked to 4577
Keller 1999: checked to 16569
Löh 2003: checked to 159581
Predrag Minovic 2006: checked to 252039
PrimeGrid 2025: checked to 6479200
14 3, 5, 6, 9, 33, 45, 243, 252 Dubner 1989
1798 Dubner (T5K Dec 1989)
2429 Keller Feb 2000
5686 Steffen Polster (T5K Nov 1998)
12509 Steffen Polster (T5K Nov 1998)
42545 Löh (T5K Dec 2000)
1198433 Ryan Propper (T5K May 2023)
1486287 Ryan Propper (T5K May 2023)
1909683 Ryan Propper (T5K May 2023)
Dubner 1989: checked to 2228
Keller 2000: checked to 4827
Löh 2013: checked to 247636
Ryan Propper 2023: checked to 2000000
15 8, 14, 44, 154, 274, 694 Dubner 1989
17426 Löh (T5K Jul 2000)
59430 Löh (T5K Oct 2001)
451554 Ryan Propper (T5K Apr 2023)
551878 Ryan Propper (T5K Apr 2023)
Dubner 1989: checked to 3124
Keller 2000: checked to 10083
Löh 2008: checked to 137341
Mark Rodenkirch 2023: checked to 200000
Ryan Propper 2023: checked to 1500000
16 1, 3, 55, 81, 223 Dubner 1989
1227 Dubner (T5K Dec 1989)
3012 Dubner (T5K Dec 1989)
3301 Dubner (T5K Dec 1989)
Dubner 1989: checked to 3444
Keller 2000: checked to 6006
Löh 2004: checked to 75360
Steven Harvey 2004: checked to 125000
Mark Rodenkirch 2023: checked to 200000
Ryan Propper 2023: checked to 1000000
17 19650 Löh (T5K Jan 2000)
236418 Löh (T5K Dec 2012)
811138 Ryan Propper (T5K May 2023)
Dubner 1989: checked to 3195
Keller 1999: checked to 15207
Löh 2014: checked to 304241
Ryan Propper 2023: checked to 1000000
18 1, 3, 21, 23 Dubner 1989
842 Dubner (T5K Dec 1989)
1683 Dubner (T5K Dec 1989)
3401 Keller Feb 2000
16839 Löh (T5K May 2000)
49963 Löh (T5K Nov 2000)
60239 Löh (T5K May 2002)
150940 Löh Dec 2012
155928 Löh Dec 2012
219525 Ryan Propper May 2023
342091 Ryan Propper May 2023
353901 Ryan Propper May 2023
612497 Ryan Propper (T5K May 2023)
Dubner 1989: checked to 3054
Keller 2000: checked to 4441
Löh 2014: checked to 218779
Ryan Propper 2023: checked to 1000000
19 6460 Keller (T5K Nov 1998)
Dubner 1989: checked to 1851
Keller 1999: checked to 8247
Löh 2013: checked to 306195
Ryan Propper 2023: checked to 1000000
20 3 Keller Dec 1999
6207 Löh (T5K Jan 2000)
8076 Löh (T5K Feb 2000)
22356 Löh (T5K Jun 2000)
151456 Löh (T5K Dec 2011)
329994 Ryan Propper May 2023
364595 Ryan Propper May 2023
793181 Ryan Propper (T5K May 2023)
993149 Ryan Propper (T5K May 2023)
Keller 1999: checked to 5870
Löh 2014: checked to 244973
Ryan Propper 2023: checked to 1000000
21 2, 8, 26 Keller Jan 2000
67100 Löh (T5K Jul 2003)
Keller 2000: checked to 4685
Löh 2012: checked to 277711
22 1, 15, 189 Keller Jan 2000
814 Keller Feb 2000
19909 Löh (T5K May 2000)
72207 Löh (T5K Dec 2005)
Keller 2000: checked to 5093
Löh 2011: checked to 137649
Mark Rodenkirch 2023: checked to 200000
23 4330 Keller (T5K Nov 1998)
89350 Löh (T5K Apr 2003)
Dubner 1989: checked to 921
Keller 1999: checked to 5955
Löh 2010: checked to 177567
Mark Rodenkirch 2023: checked to 200000
Richard Kapek 2023: checked to 400000
24 2, 8, 368 Keller Jan 2000
Keller 2000: checked to 3245
Löh 2013: checked to 134188
Mark Rodenkirch 2023: checked to 200000
25 2805222 Tom Greer (T5K Sep 2019)
Keller 1999: checked to 5595
Löh 2010: checked to 315153
PrimeGrid 2019: checked to 2809620
26 117 Keller Jan 2000
3143 Keller Feb 2000
3886, 7763 Löh Dec 2000
64020 Löh (T5K Oct 2003)
88900 Löh (T5K Jun 2005)
Keller 2000: checked to 3556
Löh 2013: checked to 147626
Mark Rodenkirch 2023: checked to 200000
27 2, 56 Keller Jan 2000
23454 Löh (T5K Aug 2000)
259738 Thomas Ritschel (T5K Dec 2011)
312498 Thomas Ritschel (T5K Feb 2012)
437960 Thomas Ritschel (T5K Nov 2012)
Keller 2000: checked to 3481
Löh 2010: checked to 215413
28 1, 48, 468 Keller Jan 2000
2655, 3741 Keller Feb 2000
49930 Löh (T5K Dec 2001)
Keller 2000: checked to 3957
Löh 2013: checked to 224108
29 None
Dubner 1989: checked to 2165
Keller 1999: checked to 15045
Löh 2010: checked to 349419
PrimeGrid 2025: checked to 4934600
30 1, 2, 3, 7, 14, 17, 39, 79, 87, 99, 128, 169, 221, 252, 307 Keller Jan 2000
3646, 6115 Löh Feb 2000
19617 Ray Ballinger (T5K Apr 2000)
49718 Löh (T5K Dec 2001)
107263 Mark Rodenkirch Apr 2023
152520 Mark Rodenkirch Apr 2023
154164 Mark Rodenkirch Apr 2023
Keller 2000: checked to 3400
Löh 2010: checked to 101757
Mark Rodenkirch 2023: checked to 200000
31 82960 Löh (T5K Apr 2002)
Dubner 1989: checked to 1907
Keller 1999: checked to 14879
Löh 2010: checked to 174855
Mark Rodenkirch 2023: checked to 200000
Richard Kapek 2023: checked to 400000
32 5 Keller Dec 1999
Keller 1999: checked to 5084
Löh 2004: checked to 45790
Steven Harvey 2004: checked to 100000
Mark Rodenkirch 2023: checked to 200000
Gary Barnes 2025: checked to 500000
33 2 Keller Jan 2000
632, 1840 Keller Feb 2000
91848 Löh (T5K Dec 2006)
164196 Mark Rodenkirch Apr 2023
Keller 2000: checked to 3567
Löh 2010: checked to 131715
Mark Rodenkirch 2023: checked to 200000
34 25, 33, 103, 195, 303, 415 Keller Jan 2000
Keller 2000: checked to 3594
Löh 2014: checked to 193428
Mark Rodenkirch 2023: checked to 200000
35 304 Keller Jan 2000
19116 Löh (T5K May 2000)
Keller 2000: checked to 3711
Löh 2007: checked to 117225
Mark Rodenkirch 2023: checked to 200000
36 1, 2, 3, 8, 191 Keller Jan 2000
1256 Keller Feb 2000
6788 Löh Dec 2000
22195 Löh (T5K Jan 2001)
23335 Löh (T5K Jan 2001)
29481 Löh (T5K Jul 2001)
191013 Serge Batalov (T5K Jul 2014)
Keller 2000: checked to 3647
Löh 2010: checked to 90181
Mark Rodenkirch 2023: checked to 200000
37 36 Dubner 1989
Dubner 1989: checked to 1077
Keller 1999: checked to 7257
Löh 2013: checked to 259851
38 3 Keller Jan 2000
1209 Keller Feb 2000
430157 Ryan Propper (T5K May 2023)
884411 Ryan Propper (T5K May 2023)
Keller 2000: checked to 4221
Löh 2010: checked to 141911
Mark Rodenkirch 2023: checked to 200000
Ryan Propper 2023: checked to 1500000
39 368, 402 Keller Jan 2000
36592 Löh (T5K Oct 2001)
Keller 2000: checked to 4837
Löh 2014: checked to 224467
40 1, 202 Keller Jan 2000
74844 Lei Zhou (T5K Apr 2009)
88195 Lei Zhou (T5K May 2009)
Keller 2000: checked to 3477
Löh 2005: checked to 50675
Mark Rodenkirch 2023: checked to 200000
41 1806676 Hiroyuki Okazaki (T5K Mar 2018)
Dubner 1989: checked to 2871
Keller 1999: checked to 11991
Löh 2002: checked to 67025
Predrag Minovic 2004: checked to 100000
PrimeGrid 2018: checked to 1810126
42 1, 2, 11, 20 Keller Jan 2000
8301 Löh Dec 2000
14421 Löh (T5K Nov 2000)
25849 Löh (T5K Jul 2001)
37208 Löh (T5K Jan 2004)
52296 Löh (T5K Jan 2006)
Keller 2000: checked to 3607
Löh 2009: checked to 62691
Bryan Koen 2011: checked to 170000
Mark Rodenkirch 2023: checked to 200000
43 390 Dubner 1989
Dubner 1989: checked to 1409
Keller 1999: checked to 5309
Löh 2010: checked to 158019
Mark Rodenkirch 2023: checked to 200000
44 53 Keller Jan 2000
Keller 2000: checked to 4168
Löh 2010: checked to 90664
Mark Rodenkirch 2023: checked to 200000
45 2, 8, 84 Keller Jan 2000
Keller 2000: checked to 3473
Löh 2010: checked to 120049
Mark Rodenkirch 2023: checked to 200000
46 1 Keller Jan 2000
813, 1576 Keller Feb 2000
116016 Mark Rodenkirch May 2023
129426 Mark Rodenkirch May 2023
Keller 2000: checked to 4262
Löh 2010: checked to 89009
Mark Rodenkirch 2023: checked to 200000
47 None
Dubner 1989: checked to 2793
Keller 1999: checked to 11217
Löh 2010: checked to 171707
PrimeGrid 2025: checked to 4315700
48 3, 9, 14, 79, 114, 182 Keller Jan 2000
9328 Löh Dec 2000
13569 Löh (T5K Dec 2000)
60261 Löh (T5K Dec 2006)
111571 Mark Rodenkirch May 2023
Keller 2000: checked to 2491
Löh 2010: checked to 93537
Mark Rodenkirch 2023: checked to 200000
49 None
Keller 1999: checked to 4529
Löh 2010: checked to 201927
PrimeGrid 2025: checked to 4269600
50 9665 Löh (T5K Apr 2000)
11844 Löh (T5K Jul 2000)
92278 Löh (T5K Dec 2008)
176961 Mark Rodenkirch May 2023
Keller 2000: checked to 5823
Löh 2010: checked to 104798
Mark Rodenkirch 2023: checked to 200000
51 62 Keller Jan 2000
1376 Keller Feb 2000
10108 Löh Dec 2001
29726 Löh (T5K Apr 2002)
65816 Löh Dec 2010
136628 Löh (T5K Mar 2012)
Keller 2000: checked to 2851
Löh 2014: checked to 229191
52 1, 168 Keller Jan 2000
38559 Löh (T5K Dec 2004)
195522 Mark Rodenkirch May 2023
Keller 2000: checked to 2754
Löh 2011: checked to 158573
Mark Rodenkirch 2023: checked to 200000
53 1341174 Hiroyuki Okazaki (T5K Aug 2017)
Dubner 1989: checked to 1733
Keller 1999: checked to 10911
Löh 2005: checked to 103895
PrimeGrid 2017: checked to 1360054
54 3, 8, 29 Keller Jan 2000
11270 Löh (T5K Dec 2000)
Keller 2000: checked to 2459
Löh 2006: checked to 75855
Mark Rodenkirch 2023: checked to 200000
55 None
Keller 1999: checked to 4451
Löh 2004: checked to 65583
Predrag Minovic 2004: checked to 100000
PrimeGrid 2025: checked to 4146500
56 1072 Jim Liddle (T5K Jan 2000)
31265 Löh (T5K May 2002)
Keller 2000: checked to 2666
Löh 2011: checked to 125830
Mark Rodenkirch 2023: checked to 200000
57 234, 470 Keller Jan 2000
1670, 1898 Keller Feb 2000
Keller 2000: checked to 2515
Löh 2010: checked to 119337
Mark Rodenkirch 2023: checked to 200000
58 1, 3, 34, 181, 252 Keller Jan 2000
1135 Keller Jan 2000, Jim Liddle (T5K Jan 2000)
2139 Keller Feb 2000
4510 Löh Dec 2000
Keller 2000: checked to 2442
Löh 2014: checked to 204399
59 220 Dubner 1989
74460 Löh (T5K Jul 2006)
Dubner 1989: checked to 1857
Keller 1999: checked to 4265
Löh 2010: checked to 149849
Mark Rodenkirch 2023: checked to 200000
60 1, 9, 13, 113, 167, 202, 445 Keller Jan 2000
518 Keller Feb 2000
3522 Löh Dec 2000
7423 Löh Dec 2000
70615 Löh (T5K Feb 2008)
127441 Ryan Propper May 2013
231158 Ryan Propper May 2013
326342 Ryan Propper May 2013
Keller 2000: checked to 2434
Löh 2010: checked to 87580
Mark Rodenkirch 2023: checked to 100000
Ryan Propper 2023: checked to 1500000
61 142 Dubner 1989
76710 Löh (T5K Jul 2006)
Dubner 1989: checked to 1461
Keller 1999: checked to 4101
Löh 2010: checked to 146157
Richard Kapek 2023: checked to 300000
62 1295 Keller Feb 2000
7107 Löh Dec 2000
43379 Löh (T5K Apr 2006)
Keller 2000: checked to 2894
Löh 2010: checked to 154473
Mark Rodenkirch 2023: checked to 200000
63 8, 50 Keller Jan 2000
54398 Löh (T5K Jan 2003)
Keller 2000: checked to 2749
Löh 2010: checked to 81489
Mark Rodenkirch 2023: checked to 200000
64 3, 399 Keller Jan 2000
7813 Jo Yeong Uk (T5K Mar 2000)
14253 Jo Yeong Uk (T5K Mar 2000)
Keller 2000: checked to 2500
Löh 2004: checked to 35234
Steven Harvey 2004: checked to 80000
Mark Rodenkirch 2023: checked to 200000
Gary Barnes 2025: checked to 400000
65 16990 Löh (T5K Apr 2000)
Keller 1999: checked to 4245
Löh 2010: checked to 126417
Mark Rodenkirch 2023: checked to 200000
66 1, 2, 158, 257 Keller Jan 2000
1016 Jim Liddle (T5K Jan 2000)
2543 Löh Dec 2000
3396 Löh Dec 2000
3801 Löh Dec 2000
81778 Löh (T5K Nov 2007)
Keller 2000: checked to 2467
Löh 2010: checked to 109015
Mark Rodenkirch 2023: checked to 200000
67 474 Dubner 1989
52932 Löh (T5K Mar 2005)
Dubner 1989: checked to 1473
Keller 1999: checked to 4133
Löh 2011: checked to 171857
Mark Rodenkirch 2023: checked to 200000
68 129897 Peter Kaiser (T5K May 2010)
195875 Mark Rodenkirch May 2023
Keller 2000: checked to 3470
Löh 2010: checked to 118162
PrimeGrid 2010: checked to 129897
Mark Rodenkirch 2023: checked to 200000
69 4052186 Mark Williams (T5K Apr 2025)
Keller 1999: checked to 4201
Löh 2004: checked to 68009
Predrag Minovic 2004: checked to 100100
PrimeGrid 2025: checked to 4083810
70 1, 3, 13 Keller Jan 2000
5928 Löh Dec 2000
10585 Löh (T5K Dec 2000)
18157 Löh (T5K Jun 2001)
20155 Löh (T5K Jun 2001)
36534 Löh (T5K Jul 2001)
87384 Mark Rodenkirch May 2023
Keller 2000: checked to 2382
Löh 2009: checked to 74775
Mark Rodenkirch 2023: checked to 200000
71 13948 Löh (T5K Apr 2000)
Dubner 1989: checked to 2667
Keller 1998: checked to 10100
Löh 2011: checked to 126795
Bryan Koen 2012: checked to 158622
Mark Rodenkirch 2023: checked to 200000
72 1, 2, 35, 119, 274, 607 Keller Jan 2000
3185 Löh Dec 2000
14360 Löh (T5K May 2001)
25201 Löh (T5K Feb 2002)
132339 Mark Rodenkirch Jun 2023
Keller 2000: checked to 2432
Löh 2010: checked to 96313
Mark Rodenkirch 2023: checked to 200000
73 2525532 Tom Greer (T5K Aug 2021)
Dubner 1989: checked to 1079
Keller 1998: checked to 10030
Löh 2010: checked to 157653
PrimeGrid 2021: checked to 2531554
74 3, 15 Keller Jan 2000
26770 Löh (T5K Jan 2002)
Keller 2000: checked to 2259
Löh 2010: checked to 131086
Mark Rodenkirch 2023: checked to 200000
75 2 Keller Dec 1999
Keller 1999: checked to 4165
Löh 2010: checked to 110363
Mark Rodenkirch 2023: checked to 200000
76 1161 Keller Jan 2000, Jim Liddle (T5K Jan 2000)
5401 Löh Dec 2000
15516 Löh (T5K May 2001)
Keller 2000: checked to 2402
Löh 2010: checked to 106662
Mark Rodenkirch 2023: checked to 200000
77 12198 Löh (T5K Apr 2000)
Keller 1999: checked to 4713
Löh 2010: checked to 131667
Mark Rodenkirch 2023: checked to 200000
78 1, 25, 105, 254 Keller Jan 2000
10671 Löh (T5K Dec 2000)
Keller 2000: checked to 2216
Löh 2010: checked to 58516
Mark Rodenkirch 2023: checked to 200000
79 682156 Franz-Xaver Harvanek (T5K Oct 2016)
Keller 1998: checked to 9850
Löh 2010: checked to 149955
PrimeGrid 2016: checked to 692232
80 5, 273 Keller Jan 2000
3273 Löh Dec 2000
23074 Löh (T5K Jan 2002)
59871 Löh (T5K Dec 2006)
Keller 2000: checked to 2206
Löh 2010: checked to 99392
Mark Rodenkirch 2023: checked to 200000
81 350 Keller Dec 1999
73272 Löh (T5K May 2010)
126042 Thomas Ritschel (T5K Nov 2011)
178192 Thomas Ritschel (T5K Dec 2011)
Keller 1999: checked to 4085
Löh 2011: checked to 86965
Thomas Ritschel 2011: checked to 280000
82 1 Keller Jan 2000
1407 Keller Feb 2000
22515 Löh (T5K Jun 2001)
177015 Mark Rodenkirch Jun 2023
Keller 2000: checked to 2184
Löh 2012: checked to 110750
Mark Rodenkirch 2023: checked to 200000
83 1242 Keller Dec 1998
Keller 1999: checked to 3899
Löh 2010: checked to 163911
Mark Rodenkirch 2023: checked to 200000
84 26 Keller Jan 2000
59215 Löh (T5K Apr 2008)
128867 Mark Rodenkirch Jun 2023
Keller 2000: checked to 2221
Löh 2009: checked to 70976
Mark Rodenkirch 2023: checked to 200000
85 186 Keller Jan 2000
1134 Keller Jan 2000, Jim Liddle (T5K Jan 2000)
39496 Löh (T5K Jan 2004)
Keller 2000: checked to 2333
Löh 2010: checked to 131529
Mark Rodenkirch 2023: checked to 200000
86 3, 17, 45, 267 Keller Jan 2000
117172 Löh (T5K Nov 2011)
198291 Mark Rodenkirch Jun 2023
Keller 2000: checked to 2176
Löh 2013: checked to 160796
Mark Rodenkirch 2023: checked to 200000
87 2, 118 Keller Jan 2000
34150 Löh (T5K Mar 2002)
Keller 2000: checked to 2257
Löh 2013: checked to 224455
88 1, 411 Keller Jan 2000
1191 Keller Jan 2000, Jim Liddle (T5K Jan 2000)
Keller 2000: checked to 2459
Löh 2011: checked to 123155
Mark Rodenkirch 2023: checked to 200000
89 298 Keller Dec 1999
Keller 1999: checked to 4305
Löh 2014: checked to 285509
90 14 Keller Jan 2000
514, 587 Keller Feb 2000
27419 Löh (T5K Oct 2001)
49527 Löh Dec 2009
188701 Mark Rodenkirch Jul 2023
Keller 2000: checked to 2115
Löh 2014: checked to 173892
Mark Rodenkirch 2023: checked to 200000
91 101670 Löh (T5K May 2005)
Keller 1999: checked to 3951
Löh 2014: checked to 272459
92 9, 252 Keller Jan 2000
3900 Löh Dec 2000
9215 Löh (T5K Dec 2000)
Keller 2000: checked to 2450
Löh 2014: checked to 202493
93 2 Keller Dec 1999
3332 Keller (T5K Nov 1998)
5642 Löh Dec 2000
183500 Löh (T5K Oct 2012)
Keller 1999: checked to 3913
Löh 2014: checked to 227757
94 775, 1207, 3277 Keller Feb 2000
11169 Löh (T5K Dec 2000)
114903 Mark Rodenkirch Jul 2023
Keller 2000: checked to 3294
Löh 2010: checked to 108252
Mark Rodenkirch 2023: checked to 200000
95 202, 370 Keller Jan 2000
18258 Löh (T5K Jun 2001)
Keller 2000: checked to 2243
Löh 2010: checked to 121773
Mark Rodenkirch 2023: checked to 200000
96 1, 2, 3, 8 Keller Jan 2000
16350 Löh (T5K Apr 2001)
43895 Löh (T5K Jul 2006)
143717 Löh (T5K Apr 2009)
Keller 2000: checked to 2217
Löh 2011: checked to 167204
Mark Rodenkirch 2023: checked to 200000
97 1374 Keller Dec 1998
Keller 1999: checked to 3633
Löh 2010: checked to 138893
Mark Rodenkirch 2023: checked to 200000
98 63 Keller Jan 2000
622 Keller Jan 2000, Jim Liddle Jan 2000
1125 Keller Jan 2000, Jim Liddle (T5K Jan 2000)
4517 Löh Dec 2000
25830 Löh (T5K Apr 2002)
174885 Löh (T5K Aug 2012)
Keller 2000: checked to 2117
Löh 2014: checked to 209756
99 2, 332 Keller Jan 2000
21868 Löh (T5K Nov 2001)
26982 Löh (T5K Apr 2002)
31328 Löh (T5K Jul 2003)
138846 Löh (T5K Jun 2010)
Keller 2000: checked to 2155
Löh 2012: checked to 185309
Mark Rodenkirch 2023: checked to 200000
100 1, 427 Löh Feb 2000
2475 Löh Feb 2000, Ray Ballinger (T5K Feb 2000)
21369 Löh (T5K Feb 2002)
72048 Löh (T5K May 2005)
98035 Löh (T5K Feb 2007)
316903 Serge Batalov (T5K Jul 2014)
Löh 2013: checked to 165295
Mark Rodenkirch 2023: checked to 200000
The situation for this range of bases is different. In this case an organized prime number search was launched by Daniel Hermle, and continuing progress was reported on his website http://www.primzahlenarchiv.de. The project was started in July 2004 and quickly covered the initial segment of all n ≤ 10000, by assigning 14 of the 100 bases to the participant Predrag Minovic. The overall limit of n ≤ 70000 was finally reached in September 2008, to then continue the search for individual bases b only. In particular, 10 bases were pushed to n ≤ 300000.
Another significant step forward was achieved by Steven Harvey, when he thoroughly extended the search to n ≤ 100000, probably in 2015 (to be confirmed). This included 64 bases where Hermle had stopped at n = 70000.
Hermle's site is no longer available, but two crucial parts of it can still be accessed through the Wayback Machine: the Status, showing all searched intervals, and a complete News protocol. On the other hand, a list of generalized Cullen primes for 100 < b ≤ 200 is included in the much more comprehensive list prepared by Steven Harvey, but it never seems to have been updated since then.
In the complete range of 10000 < n ≤ 70000, Hermle's group determined 58 primes, of which 53 were discovered by himself and the other 5 by Predrag Minovic. For 70000 < n ≤ 100000, Steven Harvey found another 11 primes. Beyond n = 100000, only 8 additional primes are currently known. Incidentally, 45 of the primes listed below are also present in the PrimePages (T5K).
Any additional data would be welcomed.
Base Values of n and Discoverers
101 none
Minovic 2008: checked to 100000
Hermle 2008: checked to 200000
PrimeGrid 2025: checked to 3600400
102 1, 2, 20, 4573, 5534 Minovic Jul 2004
16265 Minovic Jul 2004
25442 Minovic (T5K Jul 2004)
93667 Steven Harvey Dec 2015
Minovic: checked to 60000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
103 9054 Minovic Jul 2004
Minovic 2004: checked to 49000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
104 23 Hermle Jul 2004
61012 Hermle (T5K Feb 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
105 2, 434 Minovic Jul 2004
632 Henri Lifchitz (T5K Jun 1998)
798 Henri Lifchitz (T5K Jun 1998)
57728 Hermle (T5K Nov 2006)
91746 Steven Harvey Dec 2015
Minovic 2004: checked to 49000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
106 1, 3 Hermle Jul 2004
Hermle 2011: checked to 200000
107 34, 390 Minovic Jul 2004
Minovic 2004: checked to 49000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
108 1, 41, 54, 176, 830, 2721, 2958, 9763 Minovic Jul 2004
37558 Minovic (T5K Mar 2004)
Minovic 2004: checked to 49000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
109 none
Minovic 2008: checked to 100000
Hermle 2008: checked to 200000
PrimeGrid 2025: checked to 3541900
110 3155 Minovic Jul 2004
17532 Minovic 2005
Minovic 2005: checked to 40000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
111 26, 36, 1142 Hermle Jul 2004
571140 Rob Gahan (T5K Jun 2025)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
Rob Gahan 2025: checked to 570000
112 1, 319, 3334, 7765, 9189 Hermle Jul 2004
11094 Hermle Dec 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
113 427194 Ricky Hubbard (T5K Jan 2012)
Hermle: checked to 25000
Minovic: checked to 37000
Hermle: checked to 42000
Minovic: checked to 48000
Hermle 2008: checked to 200000
PrimeGrid 2012: checked to 427396
114 7, 9, 53, 163 Hermle Jul 2004
1850 Giovanni La Barbera (T5K Jan 2000)
7163, 8438 Hermle Jul 2004
11036 Hermle Dec 2004
15746 Hermle Jan 2005
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
115 24 Hermle Jul 2004
Hermle 2011: checked to 200000
116 1323365 Scott Brown (T5K Jan 2018)
Hermle 2008: checked to 70000
Thierry Gaillard: checked to 75000
Hermle 2008: checked to 200000
PrimeGrid 2018: checked to 1325238
117 177482 Hermle (T5K Feb 2008)
Hermle 2008: checked to 200000
118 3748 Hermle Jul 2004
38382 Hermle (T5K Jun 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
119 4168 Hermle Jul 2004
11100 Hermle Dec 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
120 3, 7, 15, 24, 94 Hermle Jul 2004
574 Henri Lifchitz (T5K Jun 1998)
1927 Hermle Jul 2004
74662 Steven Harvey Dec 2015
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
121 none
Hermle: checked to 85000
Thierry Gaillard: checked to 90000
Hermle 2008: cheked to 200000
PrimeGrid 2025: checked to 3464800
122 9, 114, 3191, 3513 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
123 2, 194, 260, 4682 Hermle Jul 2004
15022 Hermle Feb 2005
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
124 517 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
125 144, 354 Hermle Jul 2004
96436 Thomas Ritschel (T5K Dec 2011)
109104 Minovic (T5K Feb 2012)
Hermle 2008: checked to 70000
The Other Prime Search 2015: checked to 300000
126 1, 3057, 7580 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
127 400254 Hermle (T5K Jun 2013)
Hermle: checked to 25000
Minovic: checked to 37000
Hermle 2013: checked to 400254
128 9, 35 Steven Harvey Jul 2004
561 Henri Lifchitz (T5K Jun 1998)
7749 Steven Harvey Jul 2004
Steven Harvey 2007: checked to 57000
Hermle 2008: checked to 200000
Gary Barnes 2025: checked to 350000
129 118, 632 Hermle Jul 2004
17786 Hermle Feb 2005
40330 Hermle (T5K Sep 2005)
43060 Hermle (T5K Sep 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
130 1, 31, 184, 4318, 4774 Hermle Jul 2004
27784 Hermle (T5K May 2005)
56469 Hermle (T5K Feb 2007)
83017 Steven Harvey Dec 2015
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
131 10990 Minovic Jul 2004
Minovic 2004: checked to 37000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
132 2, 10, 107, 147, 248, 2159, 3987 Hermle Jul 2004
10182 Hermle Dec 2004
10535 Hermle Dec 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
133 48 Hermle Jul 2004
Hermle 2011: checked to 200000
134 15, 33 Hermle Jul 2004
Hermle 2011: checked to 200000
135 2, 8 Hermle Jul 2004
Hermle 2008: checked to 95000
Henrik Greschner: checked to 120000
Hermle 2011: checked to 170000
The Other Prime Search 2015: checked to 200000
136 1, 2065 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
137 none
Hermle: checked to 25000
Minovic: checked to 58000
Hermle: checked to 75000
Thierry Gaillard: checked to 80000
Hermle 2013: checked to 300000
138 1, 5, 22, 651, 657 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
139 none
Hermle: checked to 25000
Minovic: checked to 58000
Hermle: checked to 75000
Thierry Gaillard: checked to 80000
Hermle 2013: checked to 300000
140 3, 48, 214, 539, 1188, 3724 Hermle Jul 2004
39694 Hermle (T5K Sep 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
141 1478 Hermle Jul 2004
62378 Hermle (T5K Jun 2007)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
142 249, 3453 Hermle Jul 2004
13675 Hermle Jan 2005
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
143 10, 12 Hermle Jul 2004
Hermle 2008: checked to 70000
Thierry Gaillard: checked to 75000
Hermle 2011: checked to 110000
The Other Prime Search 2015: checked to 200000
144 5, 7, 13, 29, 526, 849, 2090, 2607 Hermle Jul 2004
21459 Hermle Apr 2005
56773 Hermle (T5K Feb 2007)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
145 64872 Hermle (T5K Apr 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
146 none
Hermle 2008: checked to 70000
Thierry Gaillard: checked to 75000
Hermle 2013: checked to 300000
147 1614, 6236 Hermle Jul 2004
18696 Hermle Mar 2005
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
148 1, 91, 805, 2739 Hermle Jul 2004
20170 Hermle Apr 2005
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
149 none
Hermle: checked to 25000
Minovic 2006: checked to 50000
Hermle: checked to 80000
Thierry Gaillard: checked to 85000
Hermle 2013: checked to 300000
150 1, 3, 7, 20, 32, 69, 298, 322, 1156, 2225 Hermle Jul 2004
19054 Hermle Mar 2005
25314 Hermle May 2005
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
151 139948 Hermle (T5K Mar 2010)
Hermle 2005: checked to 25000
Minovic 2006: checked to 50000
Hermle: checked to 80000
Thierry Gaillard: checked to 85000
Hermle 2011: checked to 165000
Henrik Greschner 2013 to 200000
Hermle 2013: checked to 300000
152 4007, 4247, 5358 Hermle Jul 2004
27669 Hermle (T5K May 2005)
50187 Hermle (T5K Jul 2006)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
153 2, 68 Hermle Jul 2004
Hermle: checked to 80000
Thierry Gaillard: checked to 85000
Hermle 2008: checked to 95000
Steven Harvey 2015: checked to 100000
154 3, 1729, 6348, 8313 Hermle Jul 2004
10213 Hermle Dec 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
155 29244 Hermle (T5K Aug 2004)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
156 1, 2, 15, 33, 1577 Hermle Jul 2004
11863 Hermle Jan 2005
14546 Hermle Feb 2005
33797 Hermle (T5K Jul 2005)
81131 Steven Harvey Dec 2015
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
157 328, 5334 Minovic Jul 2004
Minovic 2004: checked to 37000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
158 75, 76, 297, 394, 1852 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
159 292402 Hermle (T5K Nov 2012)
Hermle: checked to 75000
Thierry Gaillard: checked to 80000
Hermle 2013: checked to 300000
160 24, 3826 Hermle Jul 2004
14232 Hermle Feb 2005
Hermle 2008: checked to 70000
The Other Prime Search 2015: checked to 200000
161 6 Hermle Jul 2004
Hermle 2013: checked to 200000
162 1, 2, 31, 135, 847, 1339, 7255 Hermle Jul 2004
34051 Hermle (T5K Jul 2005)
97708 Steven Harvey Dec 2015
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
163 1378, 7782 Minovic Jul 2004
Minovic 2004: checked to 37000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
164 17 Hermle Jul 2004
24579 Hermle (T5K Aug 2004)
49438 Hermle (T5K Jan 2006)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
165 8, 1040, 2282 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
166 1, 3 Hermle Jul 2004
12085 Hermle Jul 2004
58897 Hermle (T5K Mar 2007)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
167 114 Hermle Jul 2004
Hermle: checked to 25000
Minovic 2005: checked to 40000
Hermle 2013: checked to 180000
168 23, 139, 245, 1242, 4754 Hermle Jul 2004
28270 Hermle (T5K May 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
169 none
Hermle 2013: checked to 300000
170 3, 16, 71, 459 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
171 301338 Rob Gahan Apr 2025
Hermle 2013: checked to 300000
172 1, 31, 79, 2155 Hermle Jul 2004
61813 Hermle (T5K Aug 2007)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
173 2230 Gary Barnes Oct 2024 (original finding lost)
Minovic 2004: checked to 37000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
174 3, 7, 25, 39 Hermle Jul 2004
16655 Hermle Jul 2004
19179 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
175 6, 1344, 1816 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
176 3, 2373 Hermle Jul 2004
32452 Hermle (T5K Jul 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
177 2, 440 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
178 1, 43, 6657 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
179 none
Hermle: checked to 25000
Minovic 2005: checked to 40000
Hermle 2013: checked to 300000
180 1, 3, 8, 59 Hermle Jul 2004
20463 Hermle Aug 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
181 8656 Minovic Jul 2004
Minovic 2005: checked to 40000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
182 15, 160, 174 Hermle Jul 2004
87258 Hermle (T5K Mar 2006)
91559 Steven Harvey Dec 2015
Hermle: checked to 90000
Steven Harvey 2015: checked to 100000
183 1352 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
184 9, 429, 696, 813 Hermle Jul 2004
19059 Hermle Mar 2005
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
185 10374 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
186 2, 8, 13, 43, 291, 365, 6847 Hermle Jul 2004
42816 Hermle (T5K Nov 2005)
84387 Steven Harvey Dec 2015
86192 Steven Harvey Dec 2015
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
187 628 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
188 179, 1515 Hermle Jul 2004
30845 Hermle (T5K Jul 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
189 2 Hermle Jul 2004
Hermle 2008: checked to 70000
Thierry Gaillard: checked to 75000
Hermle 2013: checked to 200000
190 1, 214, 2091 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
191 none
Hermle 2005: checked to 20000
Minovic 2005: checked to 40000
Hermle: 2008 checked to 70000
Thierry Gaillard: checked to 85000
Hermle 2013: checked to 290000
192 1, 3302 Hermle Jul 2004
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
193 none
Hermle 2005: checked to 20000
Minovic 2005: checked to 40000
Hermle 2008: checked to 70000
Minovic: checked to 75000
Thierry Gaillard: checked to 85000
Hermle 2011: checked to 200000
194 113 Hermle Jul 2004
Hermle: checked to 200000
195 84, 124, 688, 9044 Hermle Jul 2004
34814 Hermle (T5K Jul 2005)
78740 Steven Harvey Dec 2015
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
196 1, 111, 4807 Hermle Jul 2004
18606 Hermle Mar 2005
29931 Hermle (T5K Jun 2005)
33648 Hermle (T5K Jul 2005)
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
197 3396 Minovic Jul 2004
Minovic 2005: checked to 40000
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
198 1, 19 Hermle Jul 2004
122095 Hermle (T5K Nov 2012)
Hermle: checked to 75000
Thierry Gailard: checked to 80000
Hermle 2013: checked to 200000
199 118 Hermle Jul 2004
Hermle 2005: checked to 20000
Minovic 2005: checked to 40000
Hermle: checked to 65000
Thierry Gaillard 2008: checked to 70000
Hermle: checked to 75000
Thierry Gaillard: checked to 80000
Hermle 2013: checked to 200000
200 3, 21, 29, 305 Hermle Jul 2004
2494 Hans Rosenthal (T5K Feb 2000)
72358 Steven Harvey Dec 2015
Hermle 2008: checked to 70000
Steven Harvey 2015: checked to 100000
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