A212420 - cp's OEIS frontend

A212420 Known primes such that there are no pairwise coprime solutions to the Diophantine equation of the form x^3 + y^3 = p^a z^n with a >= 1 an integer and n >= p^(2p) prime.

n	a(n)
1	53
2	83
3	149
4	167
5	173
6	199
7	223
8	227
9	233
10	263
11	281
12	293
13	311
14	347
15	353
16	359
17	389
18	401
19	419
20	443
21	449
22	461
23	467
24	479
25	487
26	491
27	563
28	569
29	571
30	587
31	599
32	617
33	641
34	643
35	659
36	719
37	727
38	739
39	743
40	751
41	809
42	811
43	823
44	827
45	829
46	839
47	859
48	881
49	887
50	907
51	911
52	929
53	941
54	947
55	953
56	977
57	983

[53, 83, 149, 167, 173, 199, 223, 227, 233, 263, 281, 293, 311, 347, 353, 359, 389, 401, 419, 443, 449, 461, 467, 479, 487, 491, 563, 569, 571, 587, 599, 617, 641, 643, 659, 719, 727, 739, 743, 751, 809, 811, 823, 827, 829, 839, 859, 881, 887, 907, 911, 929, 941, 947, 953, 977, 983]

cp's OEIS Frontend

A212420 Known primes such that there are no pairwise coprime solutions to the Diophantine equation of the form x^3 + y^3 = p^a z^n with a >= 1 an integer and n >= p^(2p) prime.

Table of values

List of values

n	a(n)
1	53
2	83
3	149
4	167
5	173
6	199
7	223
8	227
9	233
10	263
11	281
12	293
13	311
14	347
15	353
16	359
17	389
18	401
19	419
20	443
21	449
22	461
23	467
24	479
25	487
26	491
27	563
28	569
29	571
30	587
31	599
32	617
33	641
34	643
35	659
36	719
37	727
38	739
39	743
40	751
41	809
42	811
43	823
44	827
45	829
46	839
47	859
48	881
49	887
50	907
51	911
52	929
53	941
54	947
55	953
56	977
57	983

n	a(n)
1	53
2	83
3	149
4	167
5	173
6	199
7	223
8	227
9	233
10	263
11	281
12	293
13	311
14	347
15	353
16	359
17	389
18	401
19	419
20	443
21	449
22	461
23	467
24	479
25	487
26	491
27	563
28	569
29	571
30	587
31	599
32	617
33	641
34	643
35	659
36	719
37	727
38	739
39	743
40	751
41	809
42	811
43	823
44	827
45	829
46	839
47	859
48	881
49	887
50	907
51	911
52	929
53	941
54	947
55	953
56	977
57	983

n	a(n)
1	53
2	83
3	149
4	167
5	173
6	199
7	223
8	227
9	233
10	263
11	281
12	293
13	311
14	347
15	353
16	359
17	389
18	401
19	419
20	443
21	449
22	461
23	467
24	479
25	487
26	491
27	563
28	569
29	571
30	587
31	599
32	617
33	641
34	643
35	659
36	719
37	727
38	739
39	743
40	751
41	809
42	811
43	823
44	827
45	829
46	839
47	859
48	881
49	887
50	907
51	911
52	929
53	941
54	947
55	953
56	977
57	983