[seqfan] Smallest prime wich is equal to a multiple of his reversal +/- a prime smaller than him in n ways

Claudio Meller claudiomeller at gmail.com
Sun Dec 11 22:59:39 CET 2011


Hi seqfans:

In
http://simplementenumeros.blogspot.com/2011/12/833-igual-un-multiplo-del-inverso-mas.html
 I put this problem :

31 is the smallest prime wich is equal to a multiple of his reversal (13)
+/- a

prime smaller than him:

31 = 13 x 2 + 5

41 is the first with two solutions
41 = 14 x 2 + 13
41 = 14 x 5  - 29
61 has four solutions :

61 = 16 x 2 + 29
61 = 16 x 3 + 13
61 = 16 x 4  -   3
61 = 16 x 5  - 19

with five and six solutions :

6421 = 1246 x 2 + 3929
6421 = 1246 x 3 + 2683
6421 = 1246 x 5 + 191
6421 = 1246 x 8  - 3547
6421 = 1246 x 9  - 4793


8501 = 1058 x 6 + 2153
8501 = 1058 x 8 + 37
8501 = 1058 x 9  - 1021
8501 = 1058 x 11  - 3137
8501 = 1058 x 14  - 6311
8501 = 1058 x 15  - 7369

So the sequence begins 31, 41, ?, 61, 6421, 8501,
Is this of interest?
-- 
Claudio Meller



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