A298669 - cp's OEIS frontend

A298669 Let b(n) = 2^n with n >= 2, and let c = k*b(n) + 1 for k >= 1; then a(n) is the smallest k such that c is prime and such that A007814(r(n)) = A007814(k) + n where r(n) is the remainder of 2^(b(n)/4) mod c, or 0 if no such k exists.

n	a(n)
2	0
3	0
4	1
5	8
6	1024
7	5
8	1071
9	6443
10	52743
11	1184
12	11131
13	39
14	7
15	856079
16	3363658
17	9264
18	3150
19	1313151
20	13
21	33629
22	555296667
23	534689
24	8388607
25	5
26	512212693
27	193652
28	286330
29	282030
30	7224372579
31	1120049
32	149041

[0, 0, 1, 8, 1024, 5, 1071, 6443, 52743, 1184, 11131, 39, 7, 856079, 3363658, 9264, 3150, 1313151, 13, 33629, 555296667, 534689, 8388607, 5, 512212693, 193652, 286330, 282030, 7224372579, 1120049, 149041]

cp's OEIS Frontend

A298669 Let b(n) = 2^n with n >= 2, and let c = k*b(n) + 1 for k >= 1; then a(n) is the smallest k such that c is prime and such that A007814(r(n)) = A007814(k) + n where r(n) is the remainder of 2^(b(n)/4) mod c, or 0 if no such k exists.

Table of values

List of values