

A181943


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


3



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
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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



PROG

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


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



