OFFSET
1,1
COMMENTS
Conjecture: The number of terms in this sequence is infinite.
LINKS
Danny Rorabaugh, Table of n, a(n) for n = 1..10000
FORMULA
prime(k) = A000040(k) is the k-th prime number.
EXAMPLE
3 and 5 are the first twin prime pair: prime(3) = 5, prime(4) = 7, prime(5) = 11
and 5+7+11 = 23, the first entry in the table.
MATHEMATICA
Plus @@ (Prime /@ Range[#, # + 2]) & /@ Select[Prime@ Range@ 200, PrimeQ[# + 2] &] (* Michael De Vlieger, Apr 01 2015 *)
PROG
(PARI) sumprimes(m, n) = { local(x); return(sum(x=m, n, prime(x))) }
g(n)=forprime(x=3, n, if(isprime(x+2), print1(sumprimes(x, x+2)", ")))
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Cino Hilliard, Feb 10 2006
STATUS
approved