

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
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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. AdamsWatters, 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(plp != 2, lp=p; next);
write("b053319.txt", cnt++" "pltp); /* print1(pltp", "); */ 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



