A166531 Decimal expansion of A060295^5.

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

Offset: 88

Author

Mark A. Thomas, Oct 16 2009

Keywords

• nonn
• cons
• changed

Comments

A large near-integer obtained by taking the Ramanujan constant e^(Pi*sqrt(163)) to the fifth power.

Examples

			Equals 1247257156019637304856107520018074552566824585862995272173368815\
794085495792299621093743.99999365418746...
		

References

• Henri Cohen, A Course in Computational Algebraic Number Theory, 3., corr. print., Springer-Verlag Berlin Heidelberg New York, 1996 pp. 383.

Links

• Math Overflow, Questions [From _Mark A. Thomas_, Oct 02 2010]
• Eric Weisstein's World of Mathematics, Almost Integer
• Wikipedia, Heegner number

Crossrefs

Cf. A166528, A166529, A166530, A166532.

Programs

Mathematica

RealDigits[Exp[Pi Sqrt[163]]^5,10,120][[1]] (* Harvey P. Dale, Aug 24 2025 *)

Formula

Equals exp(5*Pi*sqrt(163)) = A166529*A166528.

Extensions

Keyword:cons added by R. J. Mathar, Feb 27 2010

Previous Mathematica program replaced by Harvey P. Dale, Aug 24 2025