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A098398 Number of primes that are not less than prime(n)-Log2(Log2(prime(n))) and not greater than prime(n)+Log2(Log2(prime(n))), where Log2=A000523. 2
1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

a(n) = A000720(A098392(n)) - A000720(A098393(n)-1);

a(n) <= A098396(n) <= A098397(n) <= A097935(n);

a(n)<=2 for n<=6543; a(6544)=#{2^16+1=65537,65539,65543}=3.

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

a(10) = #{p prime: A098392(10) <= p <= A098393(10)} =

= #{p prime: 27 <= p <= 31} = #{29,31} = 2.

CROSSREFS

Sequence in context: A102297 A269570 A243759 * A306211 A131714 A130196

Adjacent sequences:  A098395 A098396 A098397 * A098399 A098400 A098401

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Sep 06 2004

STATUS

approved

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Last modified January 19 23:03 EST 2022. Contains 350466 sequences. (Running on oeis4.)