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A365573 Number of primes between prime(n) and prime(n)+log(prime(n)), exclusive. 1
0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,88
COMMENTS
Inspired by A354841.
LINKS
FORMULA
Conjecture: Limit_{N->oo} (Ratio_{n=1..N} a(n)=0) = 1/e (A068985).
PROG
(PARI) a(n) = primepi(prime(n)+log(prime(n))) - primepi(prime(n))
CROSSREFS
Sequence in context: A350797 A283988 A276204 * A370278 A369245 A353310
KEYWORD
nonn
AUTHOR
Alain Rocchelli, Sep 09 2023
STATUS
approved

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Last modified July 14 12:22 EDT 2024. Contains 374318 sequences. (Running on oeis4.)