Erdős problem 1057
Is it true that C(x)=x1−o(1)?
This is discussed in problem A13 of Guy's collection [Gu04].
References
- [AGP94] Alford, W. R. and Granville, Andrew and Pomerance, Carl, There are infinitely many Carmichael numbers. Ann. of Math. (2) (1994), 703--722.
- [Er56c] Erdős, P., On pseudoprimes and Carmichael numbers. Publ. Math. Debrecen (1956), 201--206.
- [Gu04] Guy, Richard K., Unsolved problems in number theory. (2004), xviii+437.
- [Ha08] Harman, Glyn, Watt's mean value theorem and Carmichael numbers. Int. J. Number Theory (2008), 241--248.
- [Li22] J. D. Lichtman, Primes in arithmetic progressions to large moduli and shifted primes without large prime factors. arXiv:2211.09641 (2022).
- [Po89] Pomerance, Carl, Two methods in elementary analytic number theory. (1989), 135--161.