A185271 Differences between consecutive norms of Gaussian primes.
3, 4, 4, 4, 12, 8, 4, 8, 4, 8, 12, 16, 8, 4, 8, 4, 8, 16, 12, 8, 16, 8, 12, 4, 32, 4, 8, 16, 12, 8, 4, 12, 20, 4, 20, 12, 4, 8, 12, 16, 8, 4, 8, 12, 12, 16, 8, 4, 48, 12, 8, 12, 16, 12, 8, 16, 8, 12, 4, 24, 12, 8, 12, 4, 24, 8, 24, 24, 4, 8, 4, 24, 12, 12, 8
Offset: 1
Examples
The first Gaussian prime (restricting ourselves to the first octant) is 1+i which has norm 2 (1^2+1^2). The second is 2+i with norm 5 (2^2+1^2). The difference in those norms is 3, the first term in this sequence.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
- Eric W. Weisstein, MathWorld: Gaussian Prime
- Eric W. Weisstein, MathWorld: Moat-Crossing Problem
- Wikipedia, Gaussian Integer
- Index entries for Gaussian integers and primes
Crossrefs
Cf. A055025 (norms of Gaussian primes).
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