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I am surprised that Mathworld Wolfram did not list "Arithmetic Derivative" but Wiki has

You can use Arithmetic Derivative to formulate Goldbach's conjecture, twin prime and prime triples in an alternative way.

E. J. Barbeau, "Remark on an arithmetic derivative", Canad. Math. Bull. 4 (1961), 117

Ufnarovski and Ã…hlander (2003)

Why didn't Weisstein's Mathworld mention arithmetic derivative at all?


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closed as not a real question by Joël, Anthony Quas, fedja, Andreas Thom, Qiaochu Yuan Jan 6 '12 at 23:33

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

The main reason seems to be some form of the Occam razor... In plain English, that means that until you get some non-trivial result using your new notion/object/idea/whatever in an essential way, giving it a special name is not justified. – fedja Jan 6 '12 at 23:17
Have you tried asking Weisstein? – Gerry Myerson Jan 7 '12 at 14:48
I don't think Vitale deserved the brushoff that the moderators have given him. I certainly think the arithmatic derivative is an intriguing idea, and Vitale should have been encouraged to phrase his question in a more sensible fashion: such as has there been any interesting results shown/proved/reformulated. – Mozibur Ullah Jan 25 '13 at 10:37