A376426 Decimal expansion of (2 + sqrt(3))/8.

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

Offset

0,1

Comments

This constant is given by Bombieri and Davenport as an upper bound on the lim inf_{n->oo} A001223(n)/log(n).

References

R. K. Guy, Unsolved Problems in Number Theory, Section A8.

Links

Table of n, a(n) for n=0..99.

E. Bombieri and Harold Davenport, Small differences between prime numbers, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences Vol. 293, No. 1432 (Jul 05 1966), pp. 1-18.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 64*x^2 - 32*x + 1. - Stefano Spezia, Aug 03 2025

Example

0.46650635094610966169093079268823404586785...

Mathematica

RealDigits[(Sqrt[3]+2)/8, 10, 100][[1]]

Prog

(PARI) (2+sqrt(3))/8 \\ Charles R Greathouse IV, May 19 2026

Crossrefs

Cf. A001223, A002194, A180317.

Sequence in context: A327721 A327268 A146208 * A011227 A155907 A081261

Adjacent sequences: A376423 A376424 A376425 * A376427 A376428 A376429

Keyword

nonn,cons,easy

Author

Stefano Spezia, Sep 22 2024

Status

approved