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

Author

Sven Simon, May 18 2005

Keywords

• nonn
• more

Examples

			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.