[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
More information about the SeqFan
mailing list