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.

1, 2, 12, 80, 218, 447, 448, 590, 955, 4657, 6787, 63041, 127337, 3886223, 11862335, 41822073

Offset

1,2

Links

Table of n, a(n) for n=1..16.

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: A306272 A227968 A289662 * A270775 A240836 A270919

Adjacent sequences: A107629 A107630 A107631 * A107633 A107634 A107635

Keyword

nonn,more

Author

Sven Simon, May 18 2005

Status

approved