A137690 Primes of the form A128646(k)-1 for some k (listed in A137689), where A128646 = denominators of partial sums of 1/(prime(i)-1).

3, 11, 59, 79, 719, 7919, 55439, 425039, 5525519, 19709529839, 197095298399, 999294451257532807016639, 2823006824802530179822007999, 2649530397357338361250749788962714016407928543999

Offset: 1

Author

M. F. Hasler, Feb 07 2008

Keywords

• nonn

Comments

The next term is A128646(243)-1, which has 148 decimal digits. New terms should be added to A137689, not here.

Crossrefs

Cf. A128646, A137689-A137692, A092063.

Programs

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*/;
vecsort(vector(#A137689_v,k,denominator(sum(i=1,A137689_v[k],1/(prime(i)-1)))/*i.e.
A128646(A137689_v[k])*/-1),0,8) /* ...,8 removes duplicate entries in PARI > 2.4.1 */