A244412 Least even k such that sfdf(k-1) > sfdf(k-3) >= A050376(n), where sfdf(n) is the smallest Fermi-Dirac factor of n (A223490), and k-3 is not the lesser of a pair of Fermi-Dirac twin primes (A229064).

18, 38, 38, 80, 102, 212, 224, 440, 440, 440, 578, 728, 1250, 1460, 1742, 2012, 2282, 3434, 3482, 4190, 4664, 4760, 4760, 6890, 7212, 7212, 7212, 8054, 10772, 12830, 12830, 13592, 13592, 14282, 17402, 17402, 17402, 18212, 22502, 22502, 22502, 25220, 28202

Offset: 2

Author

Vladimir Shevelev and Peter J. C. Moses, Jun 27 2014

Keywords

• nonn

Comments

A Fermi-Dirac analog of A242720.

Examples

			If k>=4 is even such that k-3 is either 1 or in A050376, then k cannot be a solution. Thus, if n=2, then k=4,6,8,10,12,14 are not allowed; for k=16 we have sfdf(16-1) = 3 < sfdf(16-3) = 13; finally, for k=18 we have sfdf(18-1) = 17 > sfdf(18-3) = 3 = A050376(2). Since 15 is not in A229064,  then a(2)=18.
		

Crossrefs

Cf. A050376, A223490, A242719, A244343, A242720, A229064.