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A075288 Interprimes (A024675) which are of the form s*prime, s=13. 1
26, 39, 1313, 4771, 7033, 9607, 11947, 12233, 14963, 15613, 18707, 20527, 24323, 26507, 27443, 30823, 31057, 33917, 36257, 43277, 45383, 48061, 48347, 48997, 52039, 57083, 61477, 66547, 75283, 75491, 77207, 83863, 84383, 85787, 86567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Interprimes of the form s*prime are in A075277-A075296 ( s = 2 - 21 ). Case s=1 is impossible.

LINKS

David A. Corneth, Table of n, a(n) for n = 1..10001

EXAMPLE

1313 is an interprime and 1313/13 = 101 is prime.

MATHEMATICA

s=13; Select[Table[(Prime[n+1]+Prime[n])/2, {n, 2, 4000}], PrimeQ[ #/s]&]

Select[Mean/@Partition[Prime[Range[2, 8500]], 2, 1], PrimeQ[#/13]&] (* Harvey P. Dale, Apr 29 2012 *)

PROG

(PARI) first(n) = {my(res = List(), p); forprime(p=2, oo, if(precprime(13*p) + nextprime(13*p) == 26*p, listput(res, 13*p); if(#res>=n, return(res))))} \\ David A. Corneth, Jul 26 2017

CROSSREFS

Cf. A024675, A075277-A075296.

Sequence in context: A330701 A050702 A105997 * A320255 A348286 A125218

Adjacent sequences:  A075285 A075286 A075287 * A075289 A075290 A075291

KEYWORD

easy,nonn

AUTHOR

Zak Seidov, Sep 12 2002

STATUS

approved

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Last modified January 27 09:50 EST 2022. Contains 350607 sequences. (Running on oeis4.)