A214926
Difference A214925(n) - A214924(n), prime count between Ramanujan primes bounding maximal gap primes.
Original entry on oeis.org
4, 4, 4, 3, 5, 3, 8, 7, 5, 7, 7, 3, 10, 6, 8, 24, 19, 6, 24, 25, 16, 8, 30, 17, 12, 13, 12, 11
Offset: 1
a(4) = pi(A214757(4)) - pi(A214756(4)) = 10 - 7 = 3
A214756
a(n) = largest Ramanujan prime R_k in A104272 that is <= A002386(n).
Original entry on oeis.org
2, 2, 2, 17, 71, 107, 503, 881, 1103, 1301, 9521, 15671, 19543, 31387, 155849, 360289, 370061, 492067, 1349147, 1356869, 2010553, 4652239, 17051297, 20831119, 47326519, 122164649, 189695483, 191912659
Offset: 1
A104272(94) = 1301 < 1327 = A002386(10), so a(10) = 1301.
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use ntheory ":all"; sub a_from_2386 { my $n = shift; $n = prev_prime($n) while !is_ramanujan_prime($n); $n } # Dana Jacobsen, Jul 13 2016
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perl -Mntheory=:all -nE 'my $n=$1 if /(\d+)$/; $r=ramanujan_primes($n>1e6 ? $n-1e6 : 2, $n); say ++$x," ",$r->[-1];' b002386.txt # Dana Jacobsen, Jul 13 2016
A214757
a(n) = smallest Ramanujan prime R_k in A104272 that is >= A000101(n).
Original entry on oeis.org
11, 11, 11, 29, 97, 127, 569, 937, 1151, 1367, 9613, 15727, 19681, 31481, 156007, 360769, 370387, 492251, 1349669, 1357333, 2010881, 4652507, 17051981, 20831639, 47326913, 122165059, 189695893, 191913047
Offset: 1
A104272(95) = R_k = 1367 > 1361 = A000101(10), so a(10) = 1367.
Original entry on oeis.org
1, 1, 1, 7, 20, 28, 96, 152, 185, 212, 1179, 1829, 2217, 3382, 14350, 30780, 31528, 40929, 103498, 104047, 149674, 325845, 1094396, 1319933, 2850163, 6957867, 10539421, 10655453
Offset: 1
A214756(5) = 71, so a(5) = primepi(A214756(5)) = primepi(71) = 20.
Showing 1-4 of 4 results.
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