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A100964 Smallest prime number that begins a prime gap of at least 2n. 3
3, 7, 23, 89, 113, 113, 113, 523, 523, 887, 1129, 1327, 1327, 1327, 1327, 1327, 1327, 9551, 15683, 15683, 15683, 15683, 19609, 19609, 19609, 19609, 31397, 31397, 31397, 31397, 31397, 31397, 31397, 31397, 31397, 31397, 155921, 155921, 155921, 155921 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..40.

FORMULA

a(n) = prime(A144309(n)). - Michel Marcus, Nov 02 2013

EXAMPLE

a(5)=a(6)=a(7)=113 because there is a gap of 14 between 113 and 127.

MATHEMATICA

k=1; Table[While[Prime[k+1]-Prime[k] < 2n, k++ ]; Prime[k], {n, 48}]

CROSSREFS

Cf. A000230, A002386, A005250.

Sequence in context: A289317 A113860 A080355 * A080077 A096318 A299404

Adjacent sequences: A100961 A100962 A100963 * A100965 A100966 A100967

KEYWORD

nonn

AUTHOR

T. D. Noe, Nov 23 2004

STATUS

approved

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Last modified February 14 17:26 EST 2023. Contains 360297 sequences. (Running on oeis4.)