This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A127045 #9 Jan 03 2024 07:18:16 %S A127045 2,3,5,11,13,17,29,31,37,97,127,131,251,257,263,293,431,433,439,443, %T A127045 449,457,461,463,467,3137,3163,3167,3169,3181,3187,3191,3203,3209, %U A127045 3217,3221,3229,3251,3253,3257,3259,3271,3797,3803,3821,3823,3833,3907,3911,3917 %N A127045 Primes p such that denominator of Sum_{k=1..p-1} 1/k^9 is a 9th power. %H A127045 Chai Wah Wu, <a href="/A127045/b127045.txt">Table of n, a(n) for n = 1..10000</a> %t A127045 d[n_] := Module[{}, su = 0; a = {}; For[i = 1, i <= n, i++, su = su + 1/ i^9; If[PrimeQ[i + 1], If[IntegerQ[(Denominator[su])^(1/9)], AppendTo[a, i + 1]]]]; a] d[2000] %t A127045 Select[Flatten[Position[Denominator[Accumulate[1/Range[4000]^9]],_?(IntegerQ[ Surd[ #,9]]&)]]+1,PrimeQ] (* _Harvey P. Dale_, Aug 06 2022 *) %Y A127045 Cf. A061002, A034602, A127029, A127042, A127043, A127044, A127046, A127047, A127048, A127049, A127051. %K A127045 nonn %O A127045 1,1 %A A127045 _Artur Jasinski_, Jan 04 2007