

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.


2




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) = (105i).
This is the third number with the property, so a(3)=3.


CROSSREFS

Cf. A103431, A103432, A106386.
Sequence in context: A137738 A009108 A016537 * A291293 A259572 A027413
Adjacent sequences: A106382 A106383 A106384 * A106386 A106387 A106388


KEYWORD

nonn


AUTHOR

Sven Simon, Apr 30 2005


STATUS

approved



