A228055 -id:A228055

Search: a228055 -id:a228055

Displaying 1-1 of 1 result found.

page 1

A228054

Lower twin prime-indexed primes in the sequence of prime(prime(i)).

+10
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

T. D. Noe, Table of n, a(n) for n = 1..1000

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

Cf. A006450, A228055.

KEYWORD

nonn

AUTHOR

T. D. Noe, Aug 09 2013

STATUS

approved

page 1

Search completed in 0.008 seconds