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 A065478 Decimal expansion of product(1 - p/(p^3-1)), p prime >= 2). 1
 5, 7, 5, 9, 5, 9, 9, 6, 8, 8, 9, 2, 9, 4, 5, 4, 3, 9, 6, 4, 3, 1, 6, 3, 3, 7, 5, 4, 9, 2, 4, 9, 6, 6, 9, 2, 5, 0, 6, 5, 1, 3, 9, 6, 7, 1, 7, 6, 4, 9, 2, 3, 6, 3, 6, 0, 0, 6, 4, 0, 7, 9, 8, 6, 6, 5, 3, 7, 2, 5, 5, 1, 6, 9, 8, 8, 6, 8, 5, 2, 8, 4, 3, 6, 4, 0, 9, 8, 7, 2, 0, 9, 1, 7, 2, 6, 1, 8 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Yilan Hu and Carl Pomerance, The average order of elements in the multiplicative group of a finite field, involve, Vol. 5 (2012), No. 2, 229-236. See p. 8. Sungjin Kim, Average results on the order of a modulo p, arXiv:1509.01752 [math.NT], 2015. P. Kurlberg, C. Pomerance, On a Problem of Arnold: the average multiplicative order of a given integer, Algebra and Number Theory, 7 (2013), pp. 981-999. P. Moree and P. Stevenhagen, A two variable Artin conjecture, Journal of Number Theory 85: 2 (2000), pp. 291-304. arXiv:math/9912250 [math.NT] G. Niklasch, Some number theoretical constants: 1000-digit values [Cached copy] P. J. Stephens, Prime divisors of second-order linear recurrences. I, , J. Number Theory, 8(3):313-332, 1976. Eric Weisstein's World of Mathematics, Stephens' Constant EXAMPLE 0.57595996889294543964316337549249669... MATHEMATICA \$MaxExtraPrecision = 100; m0 = 200; dm = 200; digits = 101; Clear[f]; f[m_] := f[m] = (slog = Normal[Series[Log[1 - p/(p^3 - 1)], {p, Infinity, m}]]; Exp[slog] /. Power[p, n_] -> PrimeZetaP[-n] // N[#, digits+10]&); f[m = m0]; Print[m, " ", f[m]]; f[m = m + dm]; While[Print[m, " ", f[m]]; RealDigits[f[m], 10, digits+5] != RealDigits[f[m - dm], 10, digits+5], m = m + dm]; RealDigits[f[m], 10, digits] // First (* Jean-François Alcover, Sep 15 2015 *) CROSSREFS Cf. A078079. Sequence in context: A217167 A195498 A065746 * A109353 A247827 A205694 Adjacent sequences:  A065475 A065476 A065477 * A065479 A065480 A065481 KEYWORD cons,nonn AUTHOR N. J. A. Sloane, Nov 19 2001 STATUS approved

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Last modified October 14 06:49 EDT 2019. Contains 327995 sequences. (Running on oeis4.)