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Primes p such that denominator of Sum_{k=1..p-1} 1/k^2 is a square and denominator Sum_{k=1..p-1} 1/k^3 is a cube and denominator Sum_{k=1..p-1} 1/k^4 is a fourth power and denominator Sum_{k=1..p-1} 1/k^5 is a fifth power.
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%I #7 Jan 03 2024 07:19:30

%S 2,3,5,17,439,443,16400183,16400191,16400201,16400203,16400221,

%T 16400231,16400233,16400269,16400273,16400299,16400309,16400317,

%U 16400347,16400383,16400387,16400389,16400411,16400413,16400429,16400431

%N Primes p such that denominator of Sum_{k=1..p-1} 1/k^2 is a square and denominator Sum_{k=1..p-1} 1/k^3 is a cube and denominator Sum_{k=1..p-1} 1/k^4 is a fourth power and denominator Sum_{k=1..p-1} 1/k^5 is a fifth power.

%C Subsequence of A127062 and of A127061. - _Max Alekseyev_, Feb 08 2007

%Y Cf. A061002, A034602, A127029, A127042, A127043, A127044, A127046, A127047, A127048, A127049, A127051, A127061, A127062.

%K nonn

%O 1,1

%A _Artur Jasinski_, Jan 04 2007

%E More terms from _Max Alekseyev_, Feb 08 2007