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Old 2016-05-05, 06:23  
Batalov
 
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Mar 2008
Phi(4,2^7658614+1)/2

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After a bit of a side trip with xy-yx's, continued with the CK's search and found a slightly larger one: (20^72820-1)^2-2
(current limits are 10: [95000], 20: [74000], 30: [65000], 40: [60000])
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