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Old 2018-10-29, 18:05   #23
CRGreathouse
 
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So the winner so far is N = 2^13372531+1 = 3p = 1 (mod 2^13372531).

Are there any other classes of large (pseudo-)primes that can be brought to bear?
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Old 2018-10-29, 18:44   #24
Batalov
 
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Phi(3,3^1118781+1)/3

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Why, yes
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Old 2018-10-29, 19:34   #25
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Well, since the prp Dr Sardonicus chose is atop the list, and the 18 known primes which are larger are not of the requisite form, I think we can call this done for now.
https://primes.utm.edu/top20/page.php?id=3
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