Wikipedia:Articles for deletion/Median number
- These may very well be real sequences that do possess the ascribed properties, but unless "median number" and "median prime", with this meaning, are the accepted terms in the mathematical community, these entries should be deleted as original research. No relevant Google hits for "median prime", and nothing on "median number" relating to this integer sequence from what I've been able to find (this one's tricky though, as there are lots of results unless you add modifiers). I'm also unable to find anything relevant about the discoverer, Paul Muljadi. - Fredrik (talk) 09:10, 13 Jun 2004 (UTC)
- Nothing on Mathworld. A lot reads like personal research, though. Delete Dysprosia 09:16, 13 Jun 2004 (UTC)
- Delete - agree with Dysprosia. Lupin 11:33, 13 Jun 2004 (UTC)
- Delete. It would be a pity to waste such a nice name with a trivial formula which appears to have nothing remarkable about it. Note than since n has to be odd one should replace it by 2k+1; then the kth "medial number" is (4k^2 + 4k + 1 + 1)/2 = 2k^2 + 2k + 1, an integer quadratic polynomial. Now, there are several other integer quadratic polynomials that are "prime rich" for small k, much more than this one. Jorge Stolfi 16:54, 13 Jun 2004 (UTC)
- Delete. I change my mind about what I said earlier about the relation of median numbers to centered square numbers. Sloane's OEIS A001844 says nothing about the name "median number", not even calling it a "misnomer". I would like to know who this Paul Muljadi mentioned in the article is. PrimeFan 19:13, 13 Jun 2004 (UTC)
As the creator of the mentioned pages, naturally I want to keep them. I think all numbers and sequences are interesting. Some, however, are more interesting than others. In this case, the exlicit form of the median curve family {n^2 + a)/2 for alternating odd and even a gives many interesting sequences which exhibit asymptotic properties of prime sequences. These quadratics are easy to create and remember, much easier than using factorials, palindromes, upper/lower bounds, and arcane sieving techniques, etc. In math, simplicity is beautiful.
On the lighter note, they contain more lucky-13 primes (13, 113, etc.) than the lucky primes sequence, and their name, median primes, sounds better than centered squared numbers. Giftlite 00:20, 15 Jun 2004 (UTC)