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.

2, 6, 14, 38, 62

Offset

1,1

Comments

Conjecture: there are no more terms.

Links

Table of n, a(n) for n=1..5.

Index entries for sequences related to Goldbach conjecture.

Example

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

Crossrefs

Cf. A002144, A002145.

Sequence in context: A026598 A006864 A217420 * A263758 A100067 A026597

Adjacent sequences: A071633 A071634 A071635 * A071637 A071638 A071639

Keyword

nonn

Author

Reinhard Zumkeller, May 27 2002

Status

approved