Interleaved primes
S = 1,3,2,9,5,11,8,21,4,7,6,13,10,19,12,23,18,...
We accept two ways of interleaving the digits of A and B (with A ad B sharing the same number of digits – or differing by one).
Same digit-length:
A = abc
B = FGH
Interleave #1: aFbGcH
Interleave #2: FaGbHc
or:
A = d
B = I
Interleave #3: dI
Interleave #4: Id
Not the same digit-length (difference is equal to 1): the "short" integer is always embedded in the "long" integer:
A = e
B = JK
Interleave #5: JeK
If the interleaves #1, #2, #3, #4 or #5 are prime numbers, we're alright. This should be the case with S:
S = 1,3,2,9,5,11,8,21,4,7,6,13,10,19,12,23,18,...
The successive interleaved primes are:
13,23,29,59,151,181,281,241,47,67,163,1103,1109,1129,1223,1283,...
(both pictures by Dorothea Lange)
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