|
|
A234298
|
|
Ramanujan prime R_k such that pi(R_(k+1)) - pi(R_k) are record values: record Ramanujan prime A190874(k).
|
|
1
|
|
|
2, 71, 181, 503, 2531, 5273, 9887, 11587, 55339, 174917, 225961, 534883, 2492311, 5409337, 130449773, 141833603, 212583797, 658046911, 1183597123, 2897211971, 5602581277, 46992178547, 70637059291, 158465541049, 182591976709, 339683208863
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
These are the primes preceding the unique values of A174641. That sequence is the start of a run of non-Ramanujan primes, so the previous prime is the Ramanujan prime. - Dana Jacobsen, Jul 14 2016
|
|
LINKS
|
|
|
PROG
|
(Perl) perl -Mntheory=:all -nE 'my $n = $1 if /(\d+)$/; say ++$x, " ", prev_prime($n) unless $seen{$n}++; ' b174641.txt # Dana Jacobsen, Jul 14 2016
(Perl) use ntheory ":all"; my($max, $r)=(0, ramanujan_primes(1e7)); for (0..$#$r-1) { my $d=prime_count($r->[$_+1])-prime_count($r->[$_]); if ($d > $max) { say $r->[$_]; $max=$d; } } # Dana Jacobsen, Jul 14 2016
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|