A007666

Jon Schoenfield jonscho at hiwaay.net
Sun Jun 10 17:45:08 CEST 2007


Thanks!

So would a comment at A007666 that "a(6) has no solution less than 700000" be appropriate?

Or maybe "a(6) is either 0 (no solution) or greater than 700000"?  Or would some other wording be better?

Thanks again,

-- Jon
  ----- Original Message ----- 
  From: Robert Gerbicz 
  To: Sequence Fans 
  Sent: Sunday, June 10, 2007 3:00 AM
  Subject: [Norton AntiSpam] 


  See http://euler.free.fr/
  As you can see on their Resta page they've checked all numbers up to 700,000. ( using many modular tricks to speed up the search.)
  This is a really hard problem, both in running time and memory. But there are known solutions for n=7 and n=8, I don't know if these are the smallest or not: 
  568^7=525^7+439^7+430^7+413^7+266^7+258^7+127^7  found by Mark Dodrill in 03/20/1999 

  1409^8=1324^8+1190^8+1088^8+748^8+524^8+478^8+223^8+90^8  found by Scott I. Chase about in 2000.
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