A076438 - cp's OEIS frontend

A076438 Numbers k which appear to have a unique representation as the difference of two perfect powers; that is, there is only one solution to Pillai's equation a^x - b^y = k, with a > 0, b > 0, x > 1, y > 1.

n	a(n)
1	1
2	2
3	10
4	29
5	30
6	38
7	43
8	46
9	52
10	59
11	122
12	126
13	138
14	142
15	146
16	150
17	154
18	166
19	170
20	173
21	181
22	190
23	194
24	214
25	222
26	234
27	263
28	270
29	282
30	283
31	298
32	317
33	318
34	332
35	338
36	342
37	347
38	349
39	354
40	361
41	370
42	379
43	382
44	383
45	386
46	406
47	419
48	428
49	436
50	461
51	467
52	479
53	484
54	486

[1, 2, 10, 29, 30, 38, 43, 46, 52, 59, 122, 126, 138, 142, 146, 150, 154, 166, 170, 173, 181, 190, 194, 214, 222, 234, 263, 270, 282, 283, 298, 317, 318, 332, 338, 342, 347, 349, 354, 361, 370, 379, 382, 383, 386, 406, 419, 428, 436, 461, 467, 479, 484, 486]

cp's OEIS Frontend

A076438 Numbers k which appear to have a unique representation as the difference of two perfect powers; that is, there is only one solution to Pillai's equation a^x - b^y = k, with a > 0, b > 0, x > 1, y > 1.

Table of values

List of values

n	a(n)
1	1
2	2
3	10
4	29
5	30
6	38
7	43
8	46
9	52
10	59
11	122
12	126
13	138
14	142
15	146
16	150
17	154
18	166
19	170
20	173
21	181
22	190
23	194
24	214
25	222
26	234
27	263
28	270
29	282
30	283
31	298
32	317
33	318
34	332
35	338
36	342
37	347
38	349
39	354
40	361
41	370
42	379
43	382
44	383
45	386
46	406
47	419
48	428
49	436
50	461
51	467
52	479
53	484
54	486

n	a(n)
1	1
2	2
3	10
4	29
5	30
6	38
7	43
8	46
9	52
10	59
11	122
12	126
13	138
14	142
15	146
16	150
17	154
18	166
19	170
20	173
21	181
22	190
23	194
24	214
25	222
26	234
27	263
28	270
29	282
30	283
31	298
32	317
33	318
34	332
35	338
36	342
37	347
38	349
39	354
40	361
41	370
42	379
43	382
44	383
45	386
46	406
47	419
48	428
49	436
50	461
51	467
52	479
53	484
54	486

n	a(n)
1	1
2	2
3	10
4	29
5	30
6	38
7	43
8	46
9	52
10	59
11	122
12	126
13	138
14	142
15	146
16	150
17	154
18	166
19	170
20	173
21	181
22	190
23	194
24	214
25	222
26	234
27	263
28	270
29	282
30	283
31	298
32	317
33	318
34	332
35	338
36	342
37	347
38	349
39	354
40	361
41	370
42	379
43	382
44	383
45	386
46	406
47	419
48	428
49	436
50	461
51	467
52	479
53	484
54	486