|
Search: id:A106385
|
|
|
| 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. |
|
+0
2
|
| |
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
A106386 has the imaginary parts.
|
|
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: A137738 A009108 A016537 this_sequence A027413 A019509 A071484
Adjacent sequences: A106382 A106383 A106384 this_sequence A106386 A106387 A106388
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Sven Simon (sven-h.simon(AT)t-online.de), Apr 30 2005
|
|
|
Search completed in 0.002 seconds
|
