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A053319 Distance between the smaller members of successive twin prime pairs. 10
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 July 2 12:56 EDT 2020. Contains 335400 sequences. (Running on oeis4.)