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A134735 Primes followed by the difference from the next prime. 4
2, 1, 3, 2, 5, 2, 7, 4, 11, 2, 13, 4, 17, 2, 19, 4, 23, 6, 29, 2, 31, 6, 37, 4, 41, 2, 43, 4, 47, 6, 53, 6, 59, 2, 61, 6, 67, 4, 71, 2, 73, 6, 79, 4, 83, 6, 89, 8, 97, 4, 101, 2, 103, 4, 107, 2, 109, 4, 113, 14, 127, 4, 131, 6, 137, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos.

FORMULA

If n is odd then a(n)=A000040((n+1)/2) else a(n)=A001223(n/2).

MATHEMATICA

With[{pr=Prime[Range[40]]}, Riffle[pr, Differences[pr]]] (* Harvey P. Dale, Jul 17 2020 *)

PROG

(Haskell)

import Data.List (transpose)

a134735 n = a134735_list !! (n-1)

a134735_list = concat $ transpose [a000040_list, a001223_list]

-- Reinhard Zumkeller, Dec 12 2012

CROSSREFS

Prime numbers: A000040. Differences between consecutive primes: A001223.

Cf. A219606.

Sequence in context: A105602 A111079 A165006 * A240867 A242363 A050360

Adjacent sequences:  A134732 A134733 A134734 * A134736 A134737 A134738

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Nov 11 2007

STATUS

approved

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Last modified July 26 10:21 EDT 2021. Contains 346294 sequences. (Running on oeis4.)