cp's OEIS Frontend

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.

%I A107632 #7 Apr 22 2023 18:48:41
%S A107632 1,2,12,80,218,447,448,590,955,4657,6787,63041,127337,3886223,
%T A107632 11862335,41822073
%N 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.
%e A107632 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.
%Y A107632 Cf. A103431, A103432, A107629, A107633, A107634.
%K A107632 nonn,more
%O A107632 1,2
%A A107632 _Sven Simon_, May 18 2005