OFFSET
1,1
COMMENTS
Exhaustive search finds no more terms among the first 10^7 primes.
FORMULA
EXAMPLE
Since 1/2 + 1/3 + 1/5 + 1/7 + 1/11 + 1/13 + 1/17 = 716167/510510 and 19 divides 716167, 19 is in the sequence.
Since there are no primes less than 2, the sum of their reciprocals is 0/1, and as 2 divides 0, it is therefore included as the first term of this sequence. - Antti Karttunen, Feb 08 2024
PROG
(PARI) lista(nn) = my(s = 0); forprime(p=2, nn, if (!(numerator(s) % p), print1(p, ", ")); s += 1/p; ); \\ Michel Marcus, Oct 09 2017, edited for the new, more inclusive definition by Antti Karttunen, Feb 08 2024
CROSSREFS
KEYWORD
more,nonn
AUTHOR
Logan J. Kleinwaks, Oct 09 2017
EXTENSIONS
Relaxed the definition to include 2 as the first term - Antti Karttunen, Feb 08 2024
STATUS
approved