

A220315


Integers k for which the open interval (k*m, (k+1)*m) contains a prime for all m > 1.


1




OFFSET

1,2


COMMENTS

Shevelev, Greathouse, and Moses (2012) prove that if more terms exist, they are >= 5*10^7.


LINKS

N. Amersi, O. Beckwith, S. J. Miller, R. Ronan, and J. Sondow, Generalized Ramanujan primes, Combinatorial and Additive Number Theory, Springer Proc. in Math. & Stat., CANT 2011 and 2012, Vol. 101 (2014), 113.


FORMULA



EXAMPLE

a(1) = 1 because Bertrand's Postulate (proved by Chebyshev) implies that for any m > 1 there is a prime p with m < p < 2m.


CROSSREFS



KEYWORD

nonn,more


AUTHOR



STATUS

approved



