cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

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.

Original entry on oeis.org

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

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Author

Sven Simon, May 18 2005

Keywords

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

A107630 Squares of the norms of Gaussian primes from A107629.

Original entry on oeis.org

2, 5, 17, 37, 41, 157, 173, 401, 809, 821, 1301, 1321, 1361, 1373, 2161, 2213, 2221, 3121, 3137, 3169, 4297, 4349, 5857, 7529, 7537, 9277, 11821, 11897, 11909, 14033, 14057, 14081, 14153, 14173, 17041, 19937, 19949, 23209, 23297, 26681, 30893
Offset: 1

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Author

Sven Simon, May 18 2005

Keywords

Crossrefs

Cf. A107629.

A107631 Integer multipliers defined in A107629.

Original entry on oeis.org

1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 16, 16, 17, 17, 18, 19, 19, 20, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25, 25, 26, 26, 26, 26, 26, 26, 27, 27, 28, 28, 28, 28, 29, 29, 30, 31, 31, 31, 32, 32
Offset: 1

Views

Author

Sven Simon, May 18 2005

Keywords

Crossrefs

Showing 1-3 of 3 results.