A106385 Consider the Gaussian primes of the first quadrant a+bi, with a>0, b>=0, ordered as a sequence by the size of the norm and the size of a, as defined in A103431. The sum of these primes up to a+bi is divisible by a+bi. a(n) is the real part a of such a+bi.

1, 2, 3, 1, 191

Offset

1,2

Comments

A106386 has the imaginary parts.

Links

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

Sven Simon, Table of n, a(n), A106385(n), a+b*i and the associated partial sum of A103431

Example

(1+i)+(1+2i)+(2+i)+3+(2+3i)+(3+2i)+(1+4i)+(4+i)+(2+5i)+(5+2i)+(1+6i)+(6+i)+(4+5i)+
(5+4i)+7+(2+7i)+(7+2i)+(5+6i)+(6+5i)+(3+8i) = (70+65i), (70+65i) / (3+8i) = (10-5i).
This is the third number with the property, so a(3)=3.

Crossrefs

Cf. A103431, A103432, A106386.

Sequence in context: A009108 A016537 A346381 * A363841 A291293 A259572

Adjacent sequences: A106382 A106383 A106384 * A106386 A106387 A106388

Keyword

nonn

Author

Sven Simon, Apr 30 2005

Status

approved