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24.5.06

MacZOT Fan, Am I, But I Do Not Need “Pzizz”

MacZOT.com Fans want Pzizz because "According to the National Sleep Foundation, sleep deprivation and its effect on work performance may be costing U.S. employers some $18 billion each year in lost productivity. Another study pushes this cost to over $100 billion." - link to full article

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1 Comments:

At 19/02/07 09:27, Anonymous saidâ¦: This was very helpful. Thanks

PBS
kingipod

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5.5.06

Two Math Conjectures

Hehe… I’m not quite sure if these are already conjectures, or if they are false, but I made two conjectures anyways.

Base conversion (pretty sure about this one):
- oldbase number in newbase = log(newbase) number * 10
- Ex: 2 = log(2) 2 * 10 = 10
Prime Numbers (not so sure):
- x^2 - x + y is prime, if x and y are prime and x ≠ y
- Ex: 2^2 - 2 + 3 = 5
Highly Composite Numbers and the nearest prime number have a difference that is always prime

Please find counter-examples or even prove them… EDIT: Freakman found a counter example for #2, 344^2 - 344 + 653 = 118645. So now both x and y have to be prime. That should work, né?

EDIT: Seems like the third one was proven (it wasn’t mine, it was Bill R. McEachen’s (billymac00 AT excite.com)). Nice!

More edits! This post, so far, has gotten the most publicity, so I have moved it up into the near-past so it remains on the first page. Originally posted 22:30 11/26/2005. Also, I presume Conj #1 is part of the rule for base conversion… Logs are used for these kinds of things.

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3 Comments:

At 25/04/06 04:28, Anonymous saidâ¦: can you ask for counterexamples to my conjecture as follows?
A2182 at OEIS lists the highly composite numbers. Besides the trivial instance of 2 and when the HCN is adjacent to a prime, will the offset from the HCN to the nearest prime always be a prime?
noted this yesterday Apr 24 2006 after submitting the sequence to OEIS. billymac00 AT excite.com
At 10/06/07 07:32, billymac saidâ¦: well, in the past week or so I made a much stroner conjecture encompassing the earlier(HCN). It triggered a laborious running commentary on the discussion pages of Wikipedia (article primorial), but in the end myself and a Danish fella have it holding thru 10^9. see my wiki to read the Conjecture, which is significant in my mind for prime hunters in the high range they are searching ...
see billymac00.pbwiki.com to read the Conjecture ...
Bill McEachen 6/10/2007
At 23/10/07 01:14, Anonymous saidâ¦: As far as #2 goes, if x = 379 and y = 461, then x^2 - x + y = 143723 and 143723 = 101 * 1423, not prime.