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 A295993 Numbers k such that there are precisely 8 groups of orders k and k + 1. 7
 10845, 32769, 45837, 47294 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Equivalently, lower member of consecutive terms of A249551. Other terms include 50225, 115785, 130974, 160474, 241366, 292774, 297689, 359106, 66885, 375254, 512974, 542654, 626354, 630002, 668205, 670074, 755825, 763637, 806518, 807274, 877162, 902565, 944414, but other terms may also be in this range. - Robert Price, May 24 2019 LINKS H. U. Besche, B. Eick and E. A. O'Brien. A Millennium Project: Constructing Small Groups, Internat. J. Algebra and Computation, 12 (2002), 623-644. Gordon Royle, Numbers of Small Groups FORMULA Sequence is { n | A000001(n) = 8, A000001(n+1) = 8 }. EXAMPLE 10845 is in the sequence because A000001(10845) = A000001(10846) = 8, 32769 is in the sequence because A000001(32769) = A000001(32770) = 8 and 47294 is in the sequence because A000001(47294) = A000001(47295) = 8. MATHEMATICA Select[Range[10^6], (FiniteGroupCount[#] == 8 && FiniteGroupCount[# + 1] == 8) &] (* A current limit in Mathematica is such that some orders >2047 may not be evaluated. *) (* Robert Price, May 24 2019 *) CROSSREFS Cf. A000001, A249551. Sequence in context: A237190 A065321 A252064 * A185517 A250954 A334003 Adjacent sequences:  A295990 A295991 A295992 * A295994 A295995 A295996 KEYWORD nonn,more AUTHOR Muniru A Asiru, Dec 02 2017 STATUS approved

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Last modified January 27 06:18 EST 2022. Contains 350601 sequences. (Running on oeis4.)