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A228054 Lower twin prime-indexed primes in the sequence of prime(prime(i)). 2
5, 11, 277, 25301, 51131, 70117, 82757, 124777, 167113, 178813, 190573, 199033, 200983, 201827, 285977, 334423, 418631, 444523, 470077, 470207, 495611, 529513, 556691, 582011, 636997, 653617, 660557, 725321, 808597, 880421, 895003, 961183, 1015361, 1088387 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The sequence prime(prime(i)) for i = 1, 2, 3,... is in A006450. The paper by Bayless et al. discusses these primes.
It is not clear what the "twin primes" are in the sequence prime(prime(prime(i))). I computed 10^7 terms, last of which is 91132598237. - T. D. Noe, Aug 10 2013
LINKS
Jonathan Bayless, Dominic Klyve, and Tomás Oliveira e Silva, New Bounds and Computations on Prime-Indexed Primes, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 13, Paper A43, 2013.
EXAMPLE
5 is here because 5 and 11 are adjacent terms in A006450 differing by 6.
MATHEMATICA
nn = 10000; t = Table[Prime[Prime[n]], {n, nn}]; s = Select[Range[nn - 1], t[[# + 1]] - t[[#]] == 6 &]; t[[s]]
CROSSREFS
Sequence in context: A230841 A139187 A266517 * A283354 A156330 A056253
KEYWORD
nonn
AUTHOR
T. D. Noe, Aug 09 2013
STATUS
approved

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Last modified August 31 00:13 EDT 2024. Contains 375550 sequences. (Running on oeis4.)