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A107632 Subsequence of A107629. Consider a Gaussian prime a+bi with index k in A103431. k is in A107632 when an integer multiplier m exists such that the distance of m*norm(a+bi) to k is minimal up to k. abs(m*norm(a+bi) - k) is minimal up to k. A107633 gives the squares of the norms of these Gaussian primes, A107634 the integer multipliers m. +0
4
1, 2, 12, 80, 218, 447, 448, 590, 955, 4657, 6787, 63041, 127337, 3886223, 11862335, 41822073 (list; graph; listen)
OFFSET

1,2

EXAMPLE

The Gaussian prime 19411+20906i has index 41822073 in A103431. Norm(19411+20906i) = 28528.01705341..., square of norm is 813847757 and multiplier m = 1466. sqrt(813847757)*1466 = 41822073.00028..., a(16)=41822073.

CROSSREFS

Cf. A103431, A103432, A107629, A107633, A107634.

Sequence in context: A121680 A081014 A062871 this_sequence A082142 A069723 A063481

Adjacent sequences: A107629 A107630 A107631 this_sequence A107633 A107634 A107635

KEYWORD

nonn

AUTHOR

Sven Simon (sven-h.simon(AT)t-online.de), May 18 2005 Sven Simon

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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