

A293457


Primes that divide the numerator of the sum of the reciprocals of all smaller primes.


3




OFFSET

1,1


COMMENTS

Exhaustive search finds no more terms among the first 10^7 primes.


LINKS



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



EXTENSIONS

Relaxed the definition to include 2 as the first term  Antti Karttunen, Feb 08 2024


STATUS

approved



