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A215238 Prime(A215237). 4
2, 3, 113, 1637, 2971, 44293, 305663, 1133071, 370261, 1357201, 46006769, 268119517, 291057379, 3429782117, 10502593103, 10926444583, 87241770619, 226751019497, 1901687257447 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

We use offset 0 because A215237 uses that offset.

a(n) is least prime(k) such that there are exactly n primes between prime(k)/2 and prime(k+1)/2. - Peter Munn, Oct 22 2017

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = A000040(A215237(n)).

MATHEMATICA

t = Table[PrimePi[Prime[n + 1]/2] - PrimePi[Prime[n]/2], {n, 100000}]; t2 = Flatten[Table[Position[t, n, 1, 1], {n, 0, 8}]]; Prime[t2]

CROSSREFS

Cf. A000040, A080192, A104380, A215237.

Sequence in context: A114373 A117700 A084755 * A127819 A152838 A208247

Adjacent sequences:  A215235 A215236 A215237 * A215239 A215240 A215241

KEYWORD

nonn,hard

AUTHOR

T. D. Noe, Oct 11 2012

EXTENSIONS

a(14)-a(18) from Donovan Johnson, Oct 13 2012

STATUS

approved

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Last modified August 12 23:52 EDT 2022. Contains 356077 sequences. (Running on oeis4.)