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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 Table of n, a(n) for n=1..95. 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 Cf. A068985, A354841, A275235. Sequence in context: A350797 A283988 A276204 * A370278 A369245 A353310 Adjacent sequences: A365570 A365571 A365572 * A365574 A365575 A365576 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.)