A234522 Decimal expansion of 7^(1/4) - 5^(1/4).

1, 3, 1, 2, 2, 7, 7, 8, 0, 4, 7, 6, 5, 6, 5, 2, 0, 1, 2, 9, 9, 3, 3, 3, 3, 5, 1, 3, 5, 2, 8, 4, 6, 7, 7, 7, 6, 5, 4, 8, 1, 1, 0, 3, 4, 6, 5, 4, 7, 9, 1, 2, 7, 2, 6, 7, 0, 8, 6, 2, 0, 8, 3, 4, 4, 0, 7, 5, 5, 2, 7, 4, 1, 9, 9, 6, 8, 3, 0, 0, 5, 8, 4, 8, 7, 1, 8, 1, 4, 2, 1, 1, 5, 5, 6, 5, 0, 1, 7

Offset: 0

Author

Jaroslav Krizek, Jan 14 2014

Keywords

• nonn
• cons

Comments

Decimal expansion of maximal value of function beta(n) = sigma(n)^(1/n) - (n+1)^(1/n) for n = 4, where beta(n) is called the beta-deviation from primality of number n (see A234520). Lim_n->infinity beta(n) = 0.

An algebraic integer with degree 16 and minimal polynomial x^16 - 48x^12 - 3896x^8 - 53952x^4 + 16. - Charles R Greathouse IV, Apr 25 2016

Examples

			0.13122778047656520129933335...
		

Links

• Index entries for algebraic numbers, degree 16

Crossrefs

Cf. A234515, A234516, A234517, A234518, A234519, A234520, A234521, A234523, A234524.

Programs

Mathematica

RealDigits[N[7^(1/4)-5^(1/4), 100]][[1]] (* Georg Fischer, Apr 04 2020 *)
RealDigits[Surd[7,4]-Surd[5,4],10,120][[1]] (* Harvey P. Dale, Mar 23 2025 *)

PARI

7^(1/4) - 5^(1/4) \\ Charles R Greathouse IV, Apr 25 2016

Formula

Equals A011005-A011003.

Extensions

a(97) corrected by Georg Fischer, Apr 04 2020