[seqfan] Insert "+" and always get a prime
Eric Angelini
Eric.Angelini at kntv.be
Mon Dec 22 15:49:18 CET 2014
Hello SeqFans,
Look at those integers:
110,112,116,118,130,136
You will always get a prime if you insert
a "+" sign inside them, no matter where:
110 --> 1+10=11 and 11+0=11
112 --> 1+12=13 and 11+2=13
116 --> 17
118 --> 19
130 --> 1+30=31 and 13+0=13
136 --> 1+36=37 and 13+6=19
101 is not an integer with this property
as 1+01=2 is not allowed (no substring
starting with "0").
I guess S, the sequence of integers that
share this property) will start like this:
S = 11, 12, 14, 16, 20, 21, 23, 25, 29, 30, 32, 34, 38, 41, 43, 47, 49, 50, 52, 56, 58, 61, 65, 67, 70, 74, 76, 83, 85, 89, 92, 94, 98, 110, 112, 116, 118, 130, 136,...
Best,
É.
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