A173168 Primes of the form 2^k + 2k - 1.

3, 7, 13, 23, 41, 271, 2069, 16411, 32797, 134217781, 2199023255633, 1125899906842723, 2251799813685349, 2596148429267413814265248164610269, 11150372599265311570767859136324180752990493

Offset: 1

Author

T. D. Noe, Feb 11 2010

Keywords

• nonn

Comments

Primes in A061761. The values of k-1 are in A105330. These primes, multiplied by 2^(k-1), produce A105331, which are a subset of the dihedral perfect numbers, A083874.

Programs

Mathematica

g[n_]:=2^n+2*n-1; Select[Array[g,100], PrimeQ]