login
Sum of fifth powers of five consecutive primes.
5

%I #7 Dec 02 2017 11:15:26

%S 181258,552519,1972133,4445107,10864643,31214741,59472599,127396699,

%T 240776801,381348901,590182759,979749101,1625329443,2354069543,

%U 3557186207,5132070551,6786946651,9149078751,12243523093,16477457435

%N Sum of fifth powers of five consecutive primes.

%F a(n) = A133527(n) + A050997(n+4). - _Michel Marcus_, Nov 09 2013

%e a(1)=181258 because 2^5+3^5+5^5+7^5+11^5=181258.

%t a = 5; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a + Prime[n + 4]^a, {n, 1, 100}]

%t Total/@Partition[Prime[Range[30]]^5,5,1] (* _Harvey P. Dale_, Dec 02 2017 *)

%Y Cf. A034963, A133524, A133525, A133526, A133527, A133528, A133529, A133530, A133531, A133532, A069484, A133534, A133535, A133536, A133537, A034964, A133538, A133539, A133540, A133542, A133543.

%K nonn

%O 1,1

%A _Artur Jasinski_, Sep 14 2007