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Old 2020-08-21, 21:05   #401
pxp
 
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Sep 2010
Weston, Ontario

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Originally Posted by pxp View Post
A worthwhile guide is that for d > 11, L(d-1,10) is (likely) the smallest (base ten) d-digit term.
I began to wonder if any of these L(x,10) is prime. I'm doing a run on a list that I didn't sieve particularly deeply and I can say that for x < 300000 the answer is none. Perhaps this had already been determined. Of the prime L(x,y) that have x > 50000, I count 13 (current) solutions: (57285,2), (58046,9), (63880,3), (78296,3), (91382,9), (99069,2), (104824,5), (125330,3), (222748,3), (234178,9), (255426,11), (314738,9), (328574,15). All small y, which makes me wonder how far the discoverers allowed x to go (and for which y).

I've put a compilation of small-y solutions (y <= 1000) here.
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