[seqfan] Re: k^n - m^k

[Bob Selcoe]

Hi,

Also need clarification:

>>Number of primes of the form k^n - m^k for all k and for all m: 0, 0, 1,
>>6, 7, 2, 13, 7,

For example, I would interpret k=2 as 2^n-m^2, but if we have 2^5- m^2, then
2^5 - 1^2 = 31, 2^5 - 3^2 = 23 and 2^5 - 5^2 = 7.  And there are other
primes as n increases (e.g. 2^7 - 7^2 = 79).

Possibly infinite?

Cheers,
Bob


--------------------------------------------------
From: "Hans Havermann" <gladhobo at teksavvy.com>
Sent: Sunday, August 10, 2014 4:23 PM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: k^n - m^k

>> why aren't 151115727451620224458183, 9671406556916706457276039, 
>> 2535301200456458801931886260151, 
>> 45671926166590716193865151022383830497002876343, 
>> 862718293348820473429344482784628181556388621521298319251099711172791, 
>> etc. in there as well?
>
> Because they aren't the right sign. Got it. So k^5 - m^k is supposed to be 
> k^6 - m^k. What are the other exponents supposed to be?
>
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