COMMENT on A000040, A006562 and A001359 on the OEIS
- From: reismann@xxxxxxx
- Date: 28 Feb 2007 06:18:19 -0800
Hi,
The following comments were published on the On-Line Encyclopedia of
Integer Sequences :
A000040 : prime numbers
There is a unique decomposition of the primes: provided the weight
A117078(n) is > 0, we have prime(n) = weight * level + gap, or
A000040(n) = A117078(n) * A117563(n) + A001223(n). - Remi Eismann
(reismann(AT)free.fr), Feb 16 2007
A001359 : lesser of twin primes
Primes for which the weight as defined in A117078 is 3 gives this
sequence except for the initial 3. - Remi Eismann
(reismann(AT)free.fr), Feb 15 2007
A006562 : balanced primes
Let p(i) denote the i-th prime. If 2 p(n) - p(n+1) is a prime, say p(n-
i), then we say that p(n) has level(1,i). Sequence gives primes of
level(1,1). - Remi Eismann (reismann(AT)free.fr), Feb 15 2007
You can find these comments with this link :
http://www.research.att.com/~njas/sequences/?q=eismann&sort=0&fmt=0&language=english&go=Search
I also realized a Web site to display my work (in French) :
http://reismann.free.fr/classement.php
Best,
Rémi Eismann
.
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