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A053319 Distance between the smaller members of successive twin prime pairs. 11
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
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
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 March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)