A106378
Imaginary parts of numbers defined in A106377.
Original entry on oeis.org
1, 2, 1, 0, 3, 4, 1, 5, 6, 1, 12, 16, 13, 0, 14, 108, 168
Offset: 1
Offset corrected and a(16)-a(17) added by
Amiram Eldar, Aug 16 2025
A106379
Real part of Gaussian prime numbers such that the Gaussian primorial product up to them is a Gaussian prime plus one.
Original entry on oeis.org
1, 2, 3, 6, 5, 11, 10, 18, 12, 19, 10, 13, 5, 20, 6, 50, 74, 112, 40, 140, 139
Offset: 1
(1+i)*(1+2i)*(2+i)*3*(2+3i)*(3+2i) - 1 = (-195-195i) - 1 = (-196-195i), which is a Gaussian prime. This is the third number with the property, so a(3) = 3.
Offset corrected and a(16)-a(21) added by
Amiram Eldar, Aug 16 2025
A106381
Real part of Gaussian prime numbers such that the Gaussian primorial product up to them is a Gaussian prime minus i.
Original entry on oeis.org
1, 1, 2, 2, 1, 6, 4, 11, 10, 11, 19, 3, 18, 16, 40, 27, 139
Offset: 1
(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.
A106383
Real part of Gaussian prime numbers such that the Gaussian primorial product up to them is a Gaussian prime plus i.
Original entry on oeis.org
1, 2, 3, 2, 3, 4, 2, 6, 5, 5, 5, 4, 1, 25, 20, 3, 29, 36, 74, 112, 140, 48
Offset: 1
(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.
Showing 1-4 of 4 results.
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