The Polytopic-k-Step Fibonacci Sequences in Finite Groups

Table 1

The length of ℎ₅⁽⁵⁾(𝑝).

𝑝	ℎ5^(5)(𝑝)	Result
5	5	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^5
11	80525	ℎ5^(5)(𝑝)∣𝑝^6−𝑝
13	15372	ℎ5^(5)(𝑝)∣𝑝^6−1
23	145992	ℎ5^(5)(𝑝)∣𝑝^6−1
29	24388	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^3
31	461760	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^2
43	1749132	ℎ5^(5)(𝑝)∣𝑝^6−1
47	1661152	ℎ5^(5)(𝑝)∣𝑝^6−1
53	2808	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^4
59	205378	ℎ5^(5)(𝑝)∣𝑝^6−1
67	4030224	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^2
73	1419912	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^2
97	44264640	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^2
101	13136325	ℎ5^(5)(𝑝)∣𝑝^6−1
223	52856154	ℎ5^(5)(𝑝)∣𝑝^6−1
397	78804	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^4
419	12914277518098	ℎ5^(5)(𝑝)∣𝑝^6−𝑝
523	47685222	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^3
607	16969333200	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^2
719	89206789920	ℎ5^(5)(𝑝)∣𝑝^6−1
821	454331269680	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^2
853	529414856880	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^2
1009	518758082640	ℎ5^(5)(𝑝)∣𝑝^6−1
1523	2319528	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^4
1613	2601768	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^4
2011	4044120	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^4
3011	27298090330	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^3
4021	262790931413426025	ℎ5^(5)(𝑝)∣𝑝^6−𝑝
5059	43159140126	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^3
6037	132826492154616	ℎ5^(5)(𝑝)∣𝑝^6−𝑝^2