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A053319 Distance between the smaller members of successive twin prime pairs. 8
2, 6, 6, 12, 12, 18, 12, 30, 6, 30, 12, 30, 12, 6, 30, 12, 30, 12, 30, 36, 72, 12, 30, 60, 48, 30, 18, 24, 18, 150, 12, 6, 30, 24, 138, 12, 18, 12, 30, 60, 78, 48, 12, 12, 18, 108, 24, 30, 6, 120, 12, 48, 30, 24, 66, 84, 6, 54, 18, 48, 30, 54, 6, 24, 18, 12, 96, 30, 42, 30, 42 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Conjecture: a(n) < log(A014574(n))^3 for n > 2. - Thomas Ordowski, Jul 21 2012

This is of course also the distance between the larger members of successive twin primes. - Franklin T. Adams-Watters, Jun 03 2014

LINKS

M. F. Hasler, Table of n, a(n) for n = 1..107406

MATHEMATICA

Differences[Transpose[Select[Partition[Prime[Range[450]], 2, 1], Last[#]-First[#]==2&]][[1]]]  (* Harvey P. Dale, Feb 08 2011 *)

PROG

(PARI) {cnt=0; lp= /*last*/ ltp=/*last twin(upper)*/ 5;

forprime(p=lp+1, default(primelimit), if(p-lp != 2, lp=p; next);

write("b053319.txt", cnt++" "p-ltp); /* print1(p-ltp", "); */ ltp=lp=p)} \\ M. F. Hasler, May 26 2007

CROSSREFS

First differences of A001359, A006512, and of A014574.

Sequence in context: A087560 A071892 A064797 * A253215 A075779 A241301

Adjacent sequences:  A053316 A053317 A053318 * A053320 A053321 A053322

KEYWORD

nonn

AUTHOR

Labos Elemer, Mar 06 2000

EXTENSIONS

Definition clarified by Harvey P. Dale, Feb 08 2011

STATUS

approved

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Last modified February 19 21:04 EST 2019. Contains 320328 sequences. (Running on oeis4.)