Erdős problem 1113 - filaseta finch kozek
**Filaseta–Finch–Kozek conjecture (2008).** Every Sierpiński number is either a perfect power
or possesses a finite covering set of primes.
References
- [ErGr80] Erdős, P. and Graham, R. L., Old and New Problems and Results in Combinatorial Number Theory. Monographie de l'Enseignement Mathématique, No. 28 (1980).
- [Si60] Sierpiński, W., Elementary Theory of Numbers. Państwowe Wydawnictwo Naukowe, Warsaw (1960).
- [FFK08] Filaseta, M., Finch, C., and Kozek, M., On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture. Journal of Number Theory 128 (2008), 1916–1940.