A371569 - cp's OEIS frontend

A371569 Primes p such that for all initial conditions (x(0),x(1),x(2),x(3),x(4)) in [0..p-1]^5 except [0,0,0,0,0], the 5-step recurrence x(k) = x(k-1) + x(k-2) + x(k-3) + x(k-4) + x(k-5) (mod p) has the same period, but x^5 - x^4 - x^3 - x^2 - x - 1 is reducible (mod p).

n	a(n)
1	4259
2	61643
3	94307
4	110063
5	118171
6	348149
7	1037903
8	1872587
9	2149403
10	2331859
11	2450807
12	2490263
13	2500847
14	2521823
15	2534659
16	2772179
17	2788367
18	2789939
19	3271883
20	3399707
21	3550751
22	3577487
23	3640859
24	3861899
25	3904309
26	4016219
27	4063211
28	4236719
29	4245239
30	4368739
31	4441007
32	4542779
33	5033477
34	5446283

[4259, 61643, 94307, 110063, 118171, 348149, 1037903, 1872587, 2149403, 2331859, 2450807, 2490263, 2500847, 2521823, 2534659, 2772179, 2788367, 2789939, 3271883, 3399707, 3550751, 3577487, 3640859, 3861899, 3904309, 4016219, 4063211, 4236719, 4245239, 4368739, 4441007, 4542779, 5033477, 5446283]

cp's OEIS Frontend

A371569 Primes p such that for all initial conditions (x(0),x(1),x(2),x(3),x(4)) in [0..p-1]^5 except [0,0,0,0,0], the 5-step recurrence x(k) = x(k-1) + x(k-2) + x(k-3) + x(k-4) + x(k-5) (mod p) has the same period, but x^5 - x^4 - x^3 - x^2 - x - 1 is reducible (mod p).

Table of values

List of values