|
|
A182519
|
|
a(n) = prime(n)^(n+1) - prime(n+1)^n.
|
|
2
|
|
|
1, 2, 282, 2166, 1400268, 38610948, 6081885702, 244376712498, 26919365237780, 11380881478725028, 609745162009089348, 221005733915715119316, 36210963070633268016918, 2920403379610288252579938, 493840220599528687495132964, 183883082249204990404329361972
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Firoozbakht conjecture: a(n) > 0 for all n. Let b(n) = a(n+1) - a(n). Conjecture: c(n) = b(n+1) - b(n) > 0 for all n. - Thomas Ordowski, May 07 2013
|
|
LINKS
|
|
|
MATHEMATICA
|
Table[Prime[n]^(n+1) - Prime[n+1]^n, {n, 20}] (* T. D. Noe, May 03 2012 *)
|
|
PROG
|
(Magma) [NthPrime(n)^(n+1)-NthPrime(n+1)^n: n in [1..19]]; // Vincenzo Librandi, Nov 16 2016
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|