login
A173866
Catalan numbers that are averages of twin prime pairs.
0
42, 4861946401452, 637841185472509493966277041641953081675754238090104091048544721209706145413312768740
OFFSET
1,1
COMMENTS
No further terms up to Catalan Number 3000, which has 1801 digits. - Harvey P. Dale, Jun 18 2021
MATHEMATICA
f[n_]:=(2n)!/n!/(n+1)!; Select[Table[f[n], {n, 0, 6!}], PrimeQ[ #-1]&&PrimeQ[ #+1]&]
Select[CatalanNumber[Range[200]], AllTrue[#+{1, -1}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jun 18 2021 *)
CROSSREFS
KEYWORD
nonn,bref
AUTHOR
STATUS
approved