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A071636 Numbers n=4*k+2 such that there is no pair of primes p and q of form 4*i+1 with p+q=n; A071635(n)=0. 1

%I #6 Mar 30 2012 18:50:24

%S 2,6,14,38,62

%N Numbers n=4*k+2 such that there is no pair of primes p and q of form 4*i+1 with p+q=n; A071635(n)=0.

%C Conjecture: there are no more terms.

%H <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>.

%e 62=4*15+2 is a term, as p = 3 modulo 4 for all primes p in decompositions of 62 into sum of two primes: 3+59=11+51=19+43=31+31;

%e 66=4*16+2 is not a term, as e.g. 66=5+61=(4*1+1)+(4*15+1): A071635(16)>0.

%Y Cf. A002144, A002145.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, May 27 2002

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Last modified August 13 02:28 EDT 2024. Contains 375113 sequences. (Running on oeis4.)