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Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^53 is prime.
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%I #9 Sep 08 2022 08:46:08

%S 110,130,214,258,282,392,474,522,546,676,734,856,1096,1116,1186,1192,

%T 1376,1446,1540,1552,1558,1804,2032,2100,2154,2474,2614,2848,3092,

%U 4550,4932,5000,5354,5554,5604,5878,5996,6136,6410,6648

%N Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^53 is prime.

%H Vincenzo Librandi, <a href="/A244389/b244389.txt">Table of n, a(n) for n = 1..430</a>

%t Select[Range[10000], PrimeQ[Total[#^Range[1, 53, 2]] + 1]&]

%o (Magma) [n: n in [0..7000] | IsPrime(s) where s is 1+&+[n^i: i in [1..53 by 2]]];

%Y Cf. similar sequences listed in A244376.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Jun 27 2014