Gethner, Ellen; Stark, H. M. Periodic Gaussian moats. (English) Zbl 1115.11318 Exp. Math. 6, No. 4, 289-292 (1997). Summary: A question of Gordon, mistakenly attributed to Erdős, asks if one can start at the origin and walk from there to infinity on Gaussian primes in steps of bounded length. We conjecture that one can start anywhere and the answer is still no. We introduce the concept of periodic Gaussian moats to prove our conjecture for step sizes of \(\sqrt 2\) and 2. Cited in 3 Documents MSC: 11R04 Algebraic numbers; rings of algebraic integers 11Y40 Algebraic number theory computations × Cite Format Result Cite Review PDF Full Text: DOI Euclid EuDML References: [1] Gethner E., Amer. Math. Monthly (1998) [2] Guy R. K., Unsolved problems in number theory,, 2. ed. (1994) · Zbl 0805.11001 · doi:10.1007/978-1-4899-3585-4 [3] Jordan J. H., Math. Comp. 24 pp 221– (1970) [4] DOI: 10.1016/0022-314X(76)90020-2 · Zbl 0333.12001 · doi:10.1016/0022-314X(76)90020-2 [5] Montgomery H. L., Ten lectures on the interface between analytic number theory and harmonic analysis (1994) · Zbl 0814.11001 · doi:10.1090/cbms/084 [6] Wagon S., Mathematica in Education and Research 5 (1) pp 43– (1996) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.