Four Eight Seven Results

Results for primes under 4501

Base Primes

2		1093, 3511
3		11
4		1093, 3511
5		none
6		none
7		5
8		3, 1093, 3511
9		11
10		3, 487
11		71
12		2693
13		863
14		29, 353
15		none
16		1093, 3511
17		3
18		5, 7, 37, 331 (cube: 7)
19		3, 7, 13, 43, 137 (cube: 7)
20		281
21		none
22		13, 673
23		13
24		5
25		none
26		3, 5, 15, 71, 1065 (cube:3) 1065=3.5.71
27		11
28		3, 19, 23
29		none
30		7
31		7, 79
32		5, 1093, 3511
33		233
35		3, 1613, 3571
36		none
37		3
38		17, 127
39		none
40		11, 17, 307
41		29
42		23
43		5, 103
44		3, 229
45		1283
46		3, 829
47		none
48		7, 257
49		5
50		7
51		5, 41
52		461
53		3, 47, 59, 97
54		19, 1949
55		3
56		647
57		5
58		131
59		2777
60		29
61		none
62		3, 19, 127, 1291
63		23 29
64		3, 1093, 3511
65		17, 763
66		none
67		7, 47
68		5, 7, 19, 113, 133, 2741
69		19, 223, 631
70		13
71		3, 47, 331
72		none
73		3
74		5
75		17, 43, 347
76		5, 37, 1109
77		none
78		43, 151, 181, 1163
79		7, 263, 3037
80		3, 7, 9, 13
81		11
82		3, 5, 9, 45

That's as far as I've got.

These from Beiler (q.v.)

31		115
53		338
61		264
67		143
73		306
84		163
89		184
96		109
99		83
100		487
101		181
107		164
139		328
149		313
157		226
167		253
173		259
175		487
179		532
191		176
193		276
196		353
197		143
199		174
252		997
307		487
324		331
484		673

Beiler also gives these ("a few larger values") for powers higher than 2

power		base		Prime
3		18		7
3		19		7
3		158		17
3		338		19
4		239		13
4		2819		19
4		2820		19
5		1353		7
5		1354		7
6		1068		5
6		390112		17
7		82681		7
7		82682		7