A181943 Least prime p > 3 such that p > n (log p) log log p.

5, 5, 5, 5, 5, 23, 29, 41, 47, 59, 67, 79, 89, 101, 109, 127, 137, 149, 157, 173, 181, 193, 211, 223, 233, 251, 257, 271, 293, 307, 311, 331, 347, 353, 373, 383, 397, 419, 431, 443, 457, 479, 487, 503, 521, 541, 547, 563, 577, 593, 613, 631, 641, 659, 673, 691, 709, 719, 739, 751, 769, 787

Offset

1,1

Comments

The first 5 terms are somewhat arbitrary. The main condition essentially makes sense on the domain where A181942(x) ~ x/((log x) log log x) is increasing, i.e., for x>9. Instead of p>3 one could also put p>n (then the sequence would start 2,3,5,5,7,23,...). Requiring p>2 would yield a(n)=3 for n<30 and then the same sequence from n=30 on. Omitting it altogether would yield a negative r.h.s. for p=2 which therefore would be solution for any n. The currently chosen initial term "5" is the least prime in the range of A181942(n).

Links

Table of n, a(n) for n=1..62.

Prog

(PARI) A181943(n)={ n<6 & return(5); nextprime(solve(X=n, n^2, X/(log(X)*log(log(X)))-n))}

Crossrefs

Cf. A181922.

Sequence in context: A245101 A246839 A077307 * A243757 A321689 A369340

Adjacent sequences: A181940 A181941 A181942 * A181944 A181945 A181946

Keyword

nonn

Author

M. F. Hasler, Apr 03 2012

Status

approved