mersenneforum.org Binary representation prime number of 1's.
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2004-12-18, 21:10   #1
TTn

3·172 Posts
Binary representation prime number of 1's.

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.

Last fiddled with by TTn on 2004-12-18 at 21:13

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