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A106385
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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.
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2
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OFFSET
| 1,2
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COMMENTS
| A106386 has the imaginary parts.
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LINKS
| Sven Simon, Table of n, a(n), A106385(n), a+b*i and the associated partial sum of A103431
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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.
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CROSSREFS
| Cf. A103431, A103432, A106386.
Sequence in context: A137738 A009108 A016537 * A027413 A019509 A071484
Adjacent sequences: A106382 A106383 A106384 * A106386 A106387 A106388
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KEYWORD
| nonn
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AUTHOR
| Sven Simon (sven-h.simon(AT)t-online.de), Apr 30 2005
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