[seqfan] Re: More terms for A000445?

Brendan McKay Brendan.McKay at anu.edu.au
Wed Dec 18 03:41:06 CET 2019


On 18/12/19 4:14 am, Chris Thompson wrote:
> We have been editing https://oeis.org/A000445 "Latest possible 
> occurrence of
> the first consecutive pair of n-th power residues, modulo any prime" 
> recently,
> but this message is just to ask if anyone is aware of any computed 
> values that
> go beyond a(7).
>
> That value was published, together with some lower limits for a(8,9,10),
> in the 1964 paper https://doi.org/10.1090/S0025-5718-1964-0164923-X by 
> John
> Brillhart and Dick and Emma Lehmer. 55 years seems an awfully long 
> time for
> no [computational] progress to be have been made! Their paper mentions 
> the
> useful index registers on the IBM 7094...
>
> Or if there really are no more values in the literature, does anyone feel
> inclined to compute some


A less obscure description would help too.  I found it hard to 
understand even
with help from the example.  How is "every large prime" in the example 
relevant
to "any prime" in the definition?

Brendan.



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