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%I #6 May 13 2023 01:50:53
%S 3,11,59,79,719,7919,55439,425039,5525519,19709529839,197095298399,
%T 999294451257532807016639,2823006824802530179822007999,
%U 2649530397357338361250749788962714016407928543999
%N Primes of the form A128646(k)-1 for some k (listed in A137689), where A128646 = denominators of partial sums of 1/(prime(i)-1).
%C The next term is A128646(243)-1, which has 148 decimal digits. New terms should be added to A137689, not here.
%o (PARI) A137689_v=[3,4,5,7,8,9,10,11,15,16,23,24,26,47,48,54,78,79,80,243]/*see there*/;
%o vecsort(vector(#A137689_v,k,denominator(sum(i=1,A137689_v[k],1/(prime(i)-1)))/*i.e.
%o A128646(A137689_v[k])*/-1),0,8) /* ...,8 removes duplicate entries in PARI > 2.4.1 */
%Y Cf. A128646, A137689-A137692, A092063.
%K nonn
%O 1,1
%A _M. F. Hasler_, Feb 07 2008
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