A106383 Real part of Gaussian prime numbers such that the Gaussian primorial product up to them is a Gaussian prime plus i.

1, 2, 3, 2, 3, 4, 2, 6, 5, 5, 5, 4, 1, 25, 20, 3, 29, 36, 74, 112, 140, 48

Offset

1,2

Comments

A106384 has the imaginary parts.

Links

Table of n, a(n) for n=1..22.

Sven Simon, Readable list of A106383/A106384.

Example

(1+i)*(1+2i)*(2+i)*3*(2+3i)*(3+2i)*(1+4i)*(4+i)*(2+5i) - i = (23205+9945i) - i = (23205+9944i), which is a Gaussian prime. This is the 7th number with the property, so a(7) = 2.

Crossrefs

Cf. A103431, A103432, A106377, A106379, A106381, A106384.

Sequence in context: A278102 A339500 A373359 * A175794 A324389 A105500

Adjacent sequences: A106380 A106381 A106382 * A106384 A106385 A106386

Keyword

nonn,more

Author

Sven Simon, Apr 30 2005

Extensions

a(18)-a(22) from Amiram Eldar, Aug 16 2025

Status

approved