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%I #19 Jan 25 2024 08:23:32
%S 3,11,61,457,5237,1226677,34543329507310391,1636619248175258407,
%T 5186576044693944076609,742779051038516950393163206833793,
%U 1506853388294906471801157206440769816406928024502711,651879075122842895567706351814676957742356330143458665568047
%N Primes in A024528.
%C Primes which are the sum of the numerator and the denominator of partial sums of the reciprocals of primes.
%C Each term of this sequence can be expressed as the sum of an expression with exactly one odd term and n even terms, where the odd term is A002110(n)/A002110(1), and n > 0 (see Alexander Adamchuk comment in A024528).
%C a(2) = 11 = 3 + 2 + 6 contains the only prime odd term 3.
%e 3 is a term because 1/2 = 1/2 and 1 + 2 = 3 which is prime.
%e 11 is a term because 1/2 + 1/3 = 5/6 and 5 + 6 = 11 which is prime.
%e 61 is a term because 5/6 + 1/5 = 31/30 and 31 + 30 = 61 which is prime.
%e 457 is a term because 31/30 + 1/7 = 247/210 and 247 + 210 = 457 which is prime.
%Y Intersection of A000040 and A024528.
%Y Cf. A002110.
%K nonn
%O 1,1
%A _Torlach Rush_, Jan 08 2024
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