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

Author

Sven Simon, Apr 30 2005

Keywords

• nonn
• more

Comments

A106384 has the imaginary parts.

Examples

			(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.
		

Links

• Sven Simon, Readable list of A106383/A106384.

Crossrefs

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

Extensions

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