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Sum_{n>=1} 1/a(n) = P(2)*P(5) - P(7) = A085548 * A085965 - A085967 = 0.007886..., where P is the prime zeta function. - Amiram Eldar, Jul 06 2020
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<a href="/index/Pri#prime_signature">Index to sequences related to prime signature</a>
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(PARI) list(lim)=my(v=List(), t); forprime(p=2, (lim\4)^(1/5), t=p^5; forprime(q=2, sqrt(lim\t), if(p==q, next); listput(v, t*q^2))); vecsort(Vec(v)) \\ _Charles R Greathouse IV, _, Jul 20 2011
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