Grosswald, Emil; Hagis, Peter jun. Arithmetic progressions consisting only of primes. (English) Zbl 0426.10007 Math. Comput. 33, 1343-1352 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 11A41 Primes 11N13 Primes in congruence classes 11B25 Arithmetic progressions Keywords:primes in arithmetic progression PDFBibTeX XMLCite \textit{E. Grosswald} and \textit{P. Hagis jun.}, Math. Comput. 33, 1343--1352 (1979; Zbl 0426.10007) Full Text: DOI References: [1] W. A. GOLUBEV, ”Faktorisation der Zahlen der Form \( {x^3} \pm 4{x^2} + 3x \pm 1\),” Anz. Oesterreich. Akad. Wiss. Math.-Naturwiss. Kl., 1969, pp. 184-191. [2] W. A. GOLUBEV, ”Faktorisation der Zahlen der Form \( {x^3} \pm 57\),” Anz. Oesterreich. Akad. Wiss. Math.-Naturwiss. Kl., 1969, pp. 191-194. · Zbl 0194.35002 [3] W. A. GOLUBEV, ”Faktorisation der Zahlen der Formen \( {x^3} \pm 83\) und \( {x^3} \pm 92009\),” Anz. Oesterreich. Akad. Wiss. Math.-Naturwiss. Kl., 1969, pp. 297-301. · Zbl 0206.33404 [4] W. A. GOLUBEV, ”Faktorisation der Zahlen der Form \( {x^3} + 4{x^2} - 25x + 13\),” Anz. Oesterreich. Akad. Wiss. Math.-Naturwiss. Kl., 1970, pp. 106-112. · Zbl 0199.36401 [5] E. GROSSWALD, ”Arithmetic progressions of primes.” (To appear.) · Zbl 0478.10034 [6] G. H. Hardy and J. E. Littlewood, Some problems of ’Partitio numerorum’; III: On the expression of a number as a sum of primes, Acta Math. 44 (1923), no. 1, 1 – 70. · JFM 48.0143.04 · doi:10.1007/BF02403921 [7] R. F. Faĭziev, The number of integers, expressible in the form of a sum of two primes, and the number of \?-twin pairs, Dokl. Akad. Nauk Tadžik. SSR 12 (1969), no. 2, 12 – 16 (Russian, with Tajiki summary). [8] E. KARST, ”Lists of ten or more primes in arithmetical progression,” Scripta Math., v. 28, 1970, pp. 313-317. · Zbl 0198.36901 [9] Edgar Karst and S. C. Root, Teilfolgen von Primzahlen in arithmetischer Progression, Anz. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. 1 (1972), 19 – 20. S. C. Root and Edgar Karst, Mehr Teilfolgen von Primzahlen in arithmetischer Progression, Anz. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. 8 (1972), 178 – 179. · Zbl 0249.10004 [10] Edgar Karst and S. C. Root, Teilfolgen von Primzahlen in arithmetischer Progression, Anz. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. 1 (1972), 19 – 20. S. C. Root and Edgar Karst, Mehr Teilfolgen von Primzahlen in arithmetischer Progression, Anz. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. 8 (1972), 178 – 179. · Zbl 0249.10004 [11] Sol Weintraub, Seventeen primes in arithmetic progression, Math. Comp. 31 (1977), no. 140, 1030. · Zbl 0373.10005 [12] Sol Weintraub, Primes in arithmetic progression, Nordisk Tidskr. Informationsbehandling (BIT) 17 (1977), no. 2, 239 – 243. · Zbl 0362.10001 [13] D. ZAGIER, Private communication. 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.