306/Historical Note

Historical Note on 306

$306$ was the number selected more or less at random by R. William Gosper when he wished to test a new technique for calculating roots using continued fractions.

He calculated its $7$th root to $2800$ digits.

It starts:

$2 \cdotp 26518 \ldots$


Sources

  • April 1984: Fred Gruenberger: How to handle numbers with thousands of digits, and why one might want to (Scientific American Vol. 250, no. 4: pp. 19 – 26)
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $306$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $306$
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