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Old 2016-03-01, 08:47   #85
AndrewWalker
 
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Mar 2015
Australia

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Small update, I've been plodding away with some of my older work which is still producing pairs but with only a small fraction being new. I've also started a bit of a new more random approach which is producing more pairs and hopefully many more new ones! (Based on the BDE method which is all I'll say just now).

Over time more and more Xn1 pairs are appearing, hopefully they will have some future use!
I've also been refinding lots of known n1 pairs, but today finally my submission had two new ones
31 Walker 2016
4465794257709736776158335815=3^5*5*11^3*43*15971*50516549*79599463
4569650085988116133496089785=3^5*5*11^3*15971*176927973337684799

41 Walker 2016
5262823241470026048476721754194700962944980800371093750=2*5^10*19*37*24088543*248681945999999*63985067186244859908749
5405061931838813976933343114297666490624999999628906250=2*5^10*19*14565219521586698716788798286949501279999999999

The first I was able to find an additional 106 pairs from, up to 429 digits.
The second I've just started work on, could be a lot more so please leave this for me!

Cheers
Andrew
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