Functions of Number Theory - 27.12 Asymptotic Formulas: Primes

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
27.12.E1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{n\to\infty}\frac{p_{n}}{n\ln@@{n}} = 1} \lim_{n\to\infty}\frac{p_{n}}{n\ln@@{n}} = 1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	limit((p[n])/(n*ln(n)), n = infinity) = 1	Limit[Divide[Subscript[p, n],n*Log[n]], n -> Infinity, GenerateConditions->None] == 1	Failure	Failure	Skip - No test values generated	Failed [10 / 10] Result: -1.0 Test Values: {Rule[Subscript[p, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: -1.0 Test Values: {Rule[Subscript[p, n], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
27.12.E2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p_{n} > n\ln@@{n}} p_{n} > n\ln@@{n}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	p[n] > n*ln(n)	Subscript[p, n] > n*Log[n]	Failure	Failure	Failed [6 / 10] Result: 3.295836867 < -1.500000000 Test Values: {p[n] = -3/2, n = 3} Result: 3.295836867 < 1.500000000 Test Values: {p[n] = 3/2, n = 3} ... skip entries to safe data	Failed [25 / 30] Result: Greater[Complex[0.8660254037844387, 0.49999999999999994], 0.0] Test Values: {Rule[n, 1], Rule[Subscript[p, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Greater[Complex[0.8660254037844387, 0.49999999999999994], 1.3862943611198906] Test Values: {Rule[n, 2], Rule[Subscript[p, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data