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The Problem of Sierpiński Concerning $k \cdot 2^n + 1$

Robert Baillie, G. Cormack and H. C. Williams
Mathematics of Computation
Vol. 37, No. 155 (Jul., 1981), pp. 229-231
DOI: 10.2307/2007516
Stable URL: http://www.jstor.org/stable/2007516
Page Count: 3
Let $k_0$ be the least odd value of $k$ such that $k \cdot 2^n + 1$ is composite for all $n \geqslant 1$. In this note, we present the results of some extensive computations which restrict the value of $k_0$ to one of 119 numbers between 3061 and 78557 inclusive. Some new large primes are also given.