Talk:Frobenius numbers: Difference between revisions

→‎title of this task: Frobenius numbers are more general.
m (→‎task clarification: added a new talk section concerning the limit.)
(→‎title of this task: Frobenius numbers are more general.)
 
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These are not Frobenius primes.   Indeed, some numbers of this series aren't prime.
 
According to OEIS,   they are known as   ''the Frobenius number of the numerical semi-group generated by prime(n) and prime(n+1)''       (as noted in the OEIS entry A037165 by Victoria A. Sapko).     They are also known as   ''Frobenius numbers''.     -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 22:57, 1 April 2021 (UTC)
: Thanks. I've gone ahead and moved the page to <code>Frobenius numbers</code>. --[[User:Chunes|Chunes]] ([[User talk:Chunes|talk]]) 05:25, 2 April 2021 (UTC)
 
:: However, it appears that Frobenius numbers are quite a bit more general than this. This sequence is the Frobenius numbers for a very specific input. --[[User:Chunes|Chunes]] ([[User talk:Chunes|talk]]) 05:35, 2 April 2021 (UTC)
 
== task clarification ==
 
It appears that when the task's author stated:
<big> a(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1), where '''prime(n) <&lt; 10,000''' </big>
it was meant to mean:
<big> a(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1), where '''a(n) < &lt; 10,000''' </big>
 
 
This is based on the output for the &nbsp; '''Ring''' &nbsp; example's output. &nbsp; &nbsp; -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 23:33, 1 April 2021 (UTC)
 
 
== task wording ==
 
I think that the task description would read better with:
 
<big> FrobeniusNumber(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1), where '''FrobeniusNumber(n) &lt; 10,000''' </big>
 
instead of using &nbsp; '''a(n)'''. &nbsp; &nbsp; -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 23:48, 1 April 2021 (UTC)
1,808

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