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

Author

Sven Simon, Apr 30 2005

Keywords

• nonn
• more

Comments

A106382 has the imaginary parts of these numbers.

Examples

			(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.
		

Links

• Sven Simon, Readable list of A106381/A106382.

Crossrefs

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

Extensions

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