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 A156902 Primes p such that there is no multiple of (the order of p among the primes) between p and q, where q is the smallest prime > p. 0
 11, 13, 17, 19, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 101, 103, 107, 109, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If pi(p) is the order of the prime p, then p is included in the sequence if pi(p)*ceiling(p/pi(p)) > the (pi(p)+1)th prime. The sequence of primes not in the list is less dense: 2, 3, 5, 7, 23, 29, 31, 89, 97, 113, 317, 331, 337, 349, 353, 359, 997, 1069, 1091, 1109, 1117, 1123, 1129, 3049, 3061, 3067, 3079, 3083, 3089, ... - R. J. Mathar, Feb 21 2009 LINKS EXAMPLE 37 is the 12th prime. 41 is the 13th prime. Since there is no multiple of 12 between 37 and 41, then 37 is included in the sequence. MAPLE for n from 1 to 300 do p := ithprime(n) ; q := nextprime(p) ; if n*floor(q/n) < p then printf("%d, ", p) ; fi; od: # R. J. Mathar, Feb 21 2009 CROSSREFS Cf. A068902. Sequence in context: A032590 A181576 A076162 * A050674 A164329 A159236 Adjacent sequences:  A156899 A156900 A156901 * A156903 A156904 A156905 KEYWORD nonn AUTHOR Leroy Quet, Feb 17 2009 EXTENSIONS Extended by R. J. Mathar, Feb 21 2009 STATUS approved

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Last modified August 19 18:30 EDT 2022. Contains 356229 sequences. (Running on oeis4.)