This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A162174 #3 Mar 31 2012 14:42:50 %S A162174 5,13,19,23,31,37,43,47,53,61,73,97,113,127,131,139,151,157,163,173, %T A162174 181,199,211,223,233,257,263,271,293,307,313,317,337,353,373,389,397, %U A162174 401,421,457,479,509,523,541,547,563,571,593,607,619,647,653,661,673,691 %N A162174 Primes classified by level. %C A162174 Conjecture : primes classified by level are rarefying among prime numbers. %C A162174 A000040(n) = 2, 3, 7, A162175(n), a(n) [From _Rémi Eismann_, Jun 27 2009] %H A162174 R. Eismann, <a href="/A162174/b162174.txt">Table of n, a(n) for n=1,..,10000</a> %H A162174 Remi Eismann, <a href="http://arXiv.org/abs/0711.0865">Decomposition of natural numbers into weight * level + jump and application to a new classification of prime numbers</a> %F A162174 If for prime(n), A117078(n) (the weight) > A117563(n) (the level) then prime(n) is classified by level. %F A162174 If for prime(n), A117078(n) (the weight) <= A117563(n) (the level) and A117078(n) <> 0 then prime(n) is classified by weight. [From _Rémi Eismann_, Jun 27 2009] %e A162174 For prime(3)=5, A117078(3)=3 > A117563(3)=1 ; prime(3)=5 is classified by level. For prime(172)=1021, A117078(172)=337 > A117563(172)=3 ; prime(172)=1021 is classified by level. %Y A162174 Cf. A117078, A117563, A000040. %Y A162174 Cf. A162175. [From _Rémi Eismann_, Jun 27 2009] %K A162174 nonn %O A162174 1,1 %A A162174 _Rémi Eismann_, Jun 27 2009