Binary representation prime number of 1's.

2004-12-18, 21:10

This is an interesting corelation to RMA, if all of these primes are GM:
http://www.research.att.com/projects/OEIS?Anum=A081093

Quote:

Sequence: 3,7,31,127,3583,8191,131071,524287
Name: Smallest prime having in binary representation prime(n) number of
1's.
Comments: a(n) = Min{p: A000120(p)=A000040(n), p prime}.
Example: a(5)=3583=A081092(266)=A000040(502) having eleven 1's:
'110111111111', and A000120(p)<11=prime(5) for primes
p<3583.
Author(s): Reinhard Zumkeller

I doubt it, but I'll have to check into this, to see if it can be utilized.

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