A106381 Real part of Gaussian prime numbers such that the Gaussian primorial product up to them is a Gaussian prime minus i.

1, 1, 2, 2, 1, 6, 4, 11, 10, 11, 19, 3, 18, 16, 40, 27, 139

Offset

1,3

Comments

A106382 has the imaginary parts of these numbers.

Links

Table of n, a(n) for n=1..17.

Sven Simon, Readable list of A106381/A106382.

Example

(1+i)*(1+2i)*(2+i)*3*(2+3i)*(3+2i)*(1+4i) + i = (585-975i) + i = (585-974i), which is a Gaussian prime. This is the 5th number with the property, so a(5) = 1.

Crossrefs

Cf. A103431, A103432, A106377, A106379, A106382, A106384.

Sequence in context: A128308 A109152 A130469 * A064784 A174302 A108074

Adjacent sequences: A106378 A106379 A106380 * A106382 A106383 A106384

Keyword

nonn,more

Author

Sven Simon, Apr 30 2005

Extensions

a(15)-a(17) from Amiram Eldar, Aug 16 2025

Status

approved