Kiselev, D. D. Optimal control, everywhere dense torus winding, and Wolstenholme primes. (English. Russian original) Zbl 1403.49019 Mosc. Univ. Math. Bull. 73, No. 4, 162-163 (2018); translation from Vestn. Mosk. Univ., Ser. I 73, No. 4, 60-62 (2018). Summary: An optimal control problem is constructed so that its control runs over an everywhere dense winding of a \(k\)-dimensional torus for arbitrary natural \(k\leq 249 998 919\) given in advance. The construction is based on Galois theory and the Wolstenholme primes distribution. MSC: 49K99 Optimality conditions 11R32 Galois theory 11B75 Other combinatorial number theory Keywords:Wolstenholme prime; optimal control; Galois theory Software:Maple PDFBibTeX XMLCite \textit{D. D. Kiselev}, Mosc. Univ. Math. Bull. 73, No. 4, 162--163 (2018; Zbl 1403.49019); translation from Vestn. Mosk. Univ., Ser. I 73, No. 4, 60--62 (2018) Full Text: DOI References: [1] Kiselev, D. D.; Lokutsievskii, L. V.; Zelikin, M. I., Optimal control and Galois theory,”, Matem. Sbornik, 204, 83, (2013) · doi:10.4213/sm8211 [2] McIntosh, R. J.; Roettger, E. L., A search for Fibonacci-wieferich and Wolstenholme primes,”, Math. Comput, 76, 2087, (2007) · Zbl 1139.11003 · doi:10.1090/S0025-5718-07-01955-2 [3] Kiselev, D. D.; A, M. (ed.); S, P. (ed.), Applications of Galois theory to optimal control,”, 50-56, (2017), Yekaterinburg 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.