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Sum of third powers of two consecutive primes.
11

%I #11 Jan 29 2021 15:12:45

%S 35,152,468,1674,3528,7110,11772,19026,36556,54180,80444,119574,

%T 148428,183330,252700,354256,432360,527744,658674,746928,882056,

%U 1064826,1276756,1617642,1942974,2123028,2317770,2520072,2737926,3491280

%N Sum of third powers of two consecutive primes.

%H Harvey P. Dale, <a href="/A133534/b133534.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A030078(n) + A030078(n+1). - _Michel Marcus_, Nov 09 2013

%e a(1)=35 because 2^3+3^3=35.

%t a = 3; Table[Prime[n]^a + Prime[n + 1]^a, {n, 1, 100}]

%t Total[#^3]&/@Partition[Prime[Range[50]],2,1] (* _Harvey P. Dale_, Jan 29 2021 *)

%Y Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133532, A069484, A133535, A133536, A133537, A133538.

%K nonn

%O 1,1

%A _Artur Jasinski_, Sep 14 2007