OFFSET
1,1
COMMENTS
LINKS
Zhi-Wei Sun, Table of n, a(n) for n = 1..52
Zhi-Wei Sun, Problems on combinatorial properties of primes, arXiv:1402.6641 [math.NT], 2014-2016.
EXAMPLE
a(1) = 5 since C(2*1,1) + prime(1) = 4, C(2*2,2) + prime(2) = 9, C(2*3,3) + prime(3) = 25 and C(2*4,4) + prime(4) = 77 are all composite, but C(2*5,5) + prime(5) = 252 + 11 = 263 is prime.
MATHEMATICA
n=0; Do[If[PrimeQ[Binomial[2m, m]+Prime[m]], n=n+1; Print[n, " ", m]], {m, 1, 10000}]
Select[Range[9000], PrimeQ[Binomial[2#, #]+Prime[#]]&] (* Harvey P. Dale, Jan 18 2016 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Zhi-Wei Sun, Jan 20 2014
EXTENSIONS
a(41)-a(52) from bfile by Robert Price, Aug 31 2019
STATUS
approved