

A236245


Primes of the form C(2*m, m) + prime(m), where C(2*m, m) = (2*m)!/(m!)^2.


6




OFFSET

1,1


COMMENTS

Although the primes in this sequence are very rare, by the conjecture in A236241 there should be infinitely many such primes.
See A236242 for a list of known numbers m with C(2*m, m) + prime(m) prime.


LINKS



EXAMPLE

a(1) = 263 since C(2*5, 5) + prime(5) = 252 + 11 = 263 is prime, and those C(2*m, m) + prime(m) with 0 < m < 5 are composite.


MATHEMATICA

s[n_]:=Binomial[2n, n]+Prime[n]
Table[a[n], {n, 1, 40}]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



