|
|
A280379
|
|
a(n) = A056171(k) - m, where k=prime(n) and m is the Ramanujan prime index to the greatest Ramanujan prime R(m) <= k.
|
|
1
|
|
|
0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,30
|
|
COMMENTS
|
a(n)=0 corresponds to the Ramanujan prime R_m = A104272(m) = A056171(k).
|
|
LINKS
|
|
|
FORMULA
|
a(n) = A056171(k) - m, where k=prime(n) and m is the Ramanujan prime index to the greatest Ramanujan prime R_m = A104272(m) <= k.
|
|
EXAMPLE
|
For prime(30)=113, A056171(113) = 14, 107 is R_12 and 127 is R_13, so 14 -12 = 2 (first occurrence).
|
|
PROG
|
(PARI) \\RR[x] is a list of Ramanujan primes, A104272.
{plimit=1.1*10^4; n=s=0;
forprime(p=2, plimit,
s++;
if(p==RR[n+1], n++);
print1(s-primepi(floor(p/2))-n, ", ");
)
}
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|