The Project Gutenberg EBook of The Square Root of 2, by Stan Kerr

This eBook is for the use of anyone anywhere at no cost and with
almost no restrictions whatsoever. You may copy it, give it away or
re-use it under the terms of the Project Gutenberg License included
with this eBook or online at www.gutenberg.net

Title: The Square Root of 2

Author: Stan Kerr

Release Date: June 12, 2008 [EBook #52]

Language: English

Character set encoding: ASCII

*** START OF THIS PROJECT GUTENBERG EBOOK THE SQUARE ROOT OF 2 ***

The Square Root of 2

by

Stan Kerr

This choice was made by popular demand for a second number, from
the responses to our posting of Pi to a million places as one of
the January, 1993 Project Gutenberg Etexts. This was suprising,
in that we never expected the massive response we got. For you,
who are interested, we will also do e, Pi to the e, e to the Pi,
and perhaps a few more. Suggestions welcome. For those who are
not interested, don't worry we don't have many of these in mind.

This electronic text was prepared by Stan Kerr as below.

He would like this computation confirmed.

This was computed on a Convex C240 using Richard Brent's multiple
precision arithmetic routines (MP), published as algorithm 524
in the March 1978 issue of Transactions on Mathematical Software.

Using the MP routines, a base of 10000 was chosen, to make the
final decimal conversion trivial.

The time to compute sqrt(2) was 32293 seconds, and the time to
compute sqrt(2)**2-2 as a check was 31031 seconds. The number is
presented as an integer with 40 digits per line of text.

Stan Kerr
Computing and Communications Services Office
University of Illinois / Urbana
stankerr@uiuc.edu

1.414213562373095048801688724209698078
5696718753769480731766797379907324784621
0703885038753432764157273501384623091229
7024924836055850737212644121497099935831
4132226659275055927557999505011527820605
7147010955997160597027453459686201472851
7418640889198609552329230484308714321450
8397626036279952514079896872533965463318
0882964062061525835239505474575028775996
1729835575220337531857011354374603408498
8471603868999706990048150305440277903164
5424782306849293691862158057846311159666
8713013015618568987237235288509264861249
4977154218334204285686060146824720771435
8548741556570696776537202264854470158588
0162075847492265722600208558446652145839
8893944370926591800311