```Date: Dec 13, 2012 2:01 PM
Author: Dr J R Stockton
Subject: Re: No Putnam spoilers please

In sci.math message <MPG.2b2efda4be25e802989692@news.eternal-september.org>, Sun, 9 Dec 2012 19:58:25, Wasell<Wasell@example.invalid> posted:>On Sat, 8 Dec 2012 19:13:02 +0000, in article><1tj7wWW+E5wQFwvR@invalid.uk.co.demon.merlyn.invalid>, Dr J R Stockton>wrote:>>> Can anyone (or more) please provide here the last ten decimal digits>(in>> order) of  ((3^349)-1)/2, freshly and independently calculated and not>> copied from any other medium, and not using my LongCalc or VastCalc?>>\$ perl -Mbigint -e 'print substr( ((3**349)-1)/2, -10 )'>7379284041Real Life intervened.  Thanks to all four.  I've not checked the wholeof their long numbers, but parts are right so no doubt about the rest.I had also used Richard's approach, in JavaScript.Some years ago, while reading a book that showed (roughly)                            (3^349-1)/2                                 =                        three lines of digits                                 =                         two lines of digits                                 *                         two lines of digitsI noticed a missing digit near the beginning of the second "two lines",and reported it.  I was evidently checking the expression against themultiplication.  I have now noticed that your second 7 is, in the book,an 8 - 7389284041 - and wanted a cross-check before reporting the newfault.  OTOH, before doing that, I should re-check ALL digits.Mathematicians, or some of them, might recognise the expression.See books.google.co.uk/books?isbn=0195130820, page 107.7389284041 seems to be a Harshad number as well as one used by Indians.Again thanks.--  (c) John Stockton, nr London, UK.  Mail via homepage.  Turnpike v6.05  MIME.  Web  <http://www.merlyn.demon.co.uk/> - FAQqish topics, acronyms and links;  Astro stuff via astron-1.htm, gravity0.htm ; quotings.htm, pascal.htm, etc. No Encoding. Quotes before replies. Snip well. Write clearly. Don't Mail News.
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