A174741 a(n) = smallest m > 0 such that there are no primes between p*m and p*(m+1) inclusive where p is the n-th prime.

4, 8, 18, 17, 29, 87, 79, 70, 58, 292, 506, 424, 766, 937, 542, 2026, 1820, 2842, 4960, 5215, 2136, 4687, 4461, 12809, 13992, 3666, 16231, 17662, 17338, 41935, 60010, 46063, 61469, 144060, 114441, 137956, 293037, 290348, 443629, 457617, 264395

Offset: 1

Author

W. Edwin Clark, Mar 29 2010

Keywords

• hard
• nonn

Crossrefs

Cf. A110835

Programs

Maple

a:=proc(n) local m,p; p:=ithprime(n); for m from 2 do if nextprime(p*m)>p*(m+1) then return m; fi; od: end proc:

Extensions

Terms from a(37) on from R. J. Mathar, Apr 15 2010