

A094663


Prime numerators of the sums of the ratios of consecutive primes.


1




OFFSET

1,1


COMMENTS

The next term is too large to include.
Sum of reciprocals = 0.5577902661277818841795751911...


LINKS



EXAMPLE

3023 is a term since 2/3 + 3/5 + 5/7 + 7/11 = 3023/1155 and 3023 is prime.


MATHEMATICA

Select[Numerator/@Accumulate[First[#]/Last[#]&/@ Partition[Prime[ Range[50]], 2, 1]], PrimeQ] (* Harvey P. Dale, Apr 23 2011 *)


PROG

(PARI) consecpr2(n) = {my(s=0, y=0, z); forprime(x=2, n, y+=x/nextprime(x+1); z=numerator(y); s+=1./z; if(isprime(z), print1(z", ")) ); print(); print(s) }


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



