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Farewell to Kynea, Carol, Noddy and Big-Ears   Message List  
Reply | Forward Message #7150 of 9810 |
Re: Farewell to Kynea, Carol, Noddy and Big-Ears

Paul

> Why not "(base-2) near-square trinomials"

You could specialize further by demanding that
the trinomial is a base-2 near-repunit.

Definition: A prime is a near-square prime iff it
differs by 2 from the square of an integer.

The sequence of positive near-square primes
that are base-2 near-repunits begins

2, 11, 23, 47, 223, 3967, 16127, 1046527, 16769023, 1073676287 ...

The largest known near-square prime that is
a base-2 near-repunint was recently found by
Japke Rosink and OpenPFGW

http://primes.utm.edu/primes/page.php?id=77385

and is currently in process at the Prime Pages.

David










Wed Mar 29, 2006 2:05 pm

djbroadhurst
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Message #7150 of 9810 |
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Eric has kindly cleaned up MathWorld: http://mathworld.wolfram.com/KyneaNumber.html http://mathworld.wolfram.com/CarolNumber.html so I have removed Noddy,...
David Broadhurst
djbroadhurst
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Mar 29, 2006
12:47 am

... Which now point to a page about so-called "near-squares". Isn't 11^2-2 just 2 away from a sqaure? Paul -- fighting for true near-squares...
Paul Underwood
paulunderwooduk
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Mar 29, 2006
1:24 am

... Clearly. So also are (2^281621+1)^2-2 169553 p89 2005 (2^226749-1)^2-2 136517 p103 2005 (2^185580-1)^2-2...
David Broadhurst
djbroadhurst
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Mar 29, 2006
2:08 am

... To get this, I guess you coded some intricate utm-grep expression into Chris' currently-on-the-blink web server. How about weeny 167=13^2-2? It is prime....
Paul Underwood
paulunderwooduk
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Mar 29, 2006
2:39 am

Paul: Eric had set me a problem in linguistic philosophy. 1) Eric says that he needs a name for everything that he classifies. 2) The names Kyn** and C*r*l...
David Broadhurst
djbroadhurst
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Mar 29, 2006
3:07 am

... Why not "(base-2) near-square trinomials" also with a touch of something to indicate units for the coefficients? What is the word I am searching for to...
Paul Underwood
paulunderwooduk
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Mar 29, 2006
3:17 am

Sorry to be confusing and to harp on about this! ... Aren't all animals named? ... This is what I was talking about below. ... Glad to hear that. I, too, am...
Paul Underwood
paulunderwooduk
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Mar 29, 2006
4:10 am

Paul ... You could specialize further by demanding that the trinomial is a base-2 near-repunit. Definition: A prime is a near-square prime iff it differs by 2...
David Broadhurst
djbroadhurst
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Mar 29, 2006
2:06 pm

... It's a right pickle! Your suggestion will not cover all: (2^n+1)^2-2 is a near-square but not generalized near-repdigit (or binary near-repunit.) I'd like...
Paul Underwood
paulunderwooduk
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Mar 29, 2006
4:06 pm

... and Paul replied ... apparently having failed to register my careful use of the verb ... David...
David Broadhurst
djbroadhurst
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Mar 29, 2006
4:13 pm

hi david I do not know it perche I have celto you in order to help me, are not practical, single I have found a shape f(x) é prime number, single I still do...
ahmed roummah
aroummah
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Mar 31, 2006
12:33 pm

... p = 25077361 = 2017 * 12433 2^p - 1 is divisible by 9338711 because 2^2017 - 1 is divisible by 9338711 David...
David Broadhurst
djbroadhurst
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Mar 31, 2006
1:27 pm

ahmed roummah <aroummah@...> wrote: hi david I do not know it perche I have celto you in order to help me, are not practical, single I have found a...
Cletus Emmanuel
cemmanu
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Apr 1, 2006
10:10 pm

Guys, this is beyond belief. As i sit her reading all of there emails relating to the removal of the name Carol and Kynea numbers, this one is by far the...
Cletus Emmanuel
cemmanu
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Mar 29, 2006
5:04 pm

Dear Cletus, The two years that I had in mind were between your posting: http://groups.yahoo.com/group/primenumbers/message/5116 ... and this one: ...
David Broadhurst
djbroadhurst
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Mar 29, 2006
6:26 pm

... Eric might have had some reasons to remove these names. But try entering "kynea" in the search field of Neil Sloane's OEIS: ...
Hugo Pfoertner
yae9911
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Mar 29, 2006
7:44 pm

Good news for Noddy fans! Noddy and Big-Ears, being banished from the ivory towers, are alive and well and taking refuge with C**** and K***** where you can...
Paul Underwood
paulunderwooduk
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Mar 29, 2006
8:12 pm

Thanks Paul! Both Jens and I had overlooked http://primes.utm.edu/bios/code.php?code=p44 which has now been fixed. David...
David Broadhurst
djbroadhurst
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Mar 29, 2006
8:21 pm

Hugo: I wouldn't dream of asking my good friend Neil to edit Steven's or Eric's OEIS entries, since the OEIS is essentially a free place for anyone to post any...
David Broadhurst
djbroadhurst
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Mar 29, 2006
8:45 pm

David, if Eric is an author then he knows about citation and recording accurate information. Frankly, I do not care to take credit for anything I do, because...
Cletus Emmanuel
cemmanu
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Mar 30, 2006
3:33 pm

... All gone. Eric recently added a prime form with a more deserved name: http://mathworld.wolfram.com/ChenPrime.html -- Jens Kruse Andersen...
Jens Kruse Andersen
jkand71
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Mar 29, 2006
2:37 am

... Personally, I think we should always be cautious naming things. In many field, like zoology, objects must be named to talk about them; but in mathematics...
Chris Caldwell
primemogul
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Mar 29, 2006
1:10 pm

... Indeed. He poses it explicitly in http://mathworld.wolfram.com/IntegerSequencePrimes.html ... ..^^^^^ For Eric, it appears that a formula is not a "name". ...
David Broadhurst
djbroadhurst
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Mar 29, 2006
3:55 pm

... Perhaps an even more useful name would be "7" ;-) (I get your point but couldn't resist being cheeky) ... *du*plication doesn't cover it. They are also...
Jens Kruse Andersen
jkand71
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Mar 29, 2006
5:01 pm
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