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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. 4

%I #7 Apr 22 2023 18:48:41

%S 1,2,12,80,218,447,448,590,955,4657,6787,63041,127337,3886223,

%T 11862335,41822073

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

%K nonn,more

%O 1,2

%A _Sven Simon_, May 18 2005

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Last modified August 20 17:12 EDT 2024. Contains 375337 sequences. (Running on oeis4.)