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A133525 Sum of third powers of four consecutive primes. 19
503, 1826, 3996, 8784, 15300, 26136, 48328, 73206, 117000, 173754, 228872, 302904, 401128, 537586, 685060, 882000, 1091034, 1274672, 1540730, 1811754, 2158812, 2682468, 3219730, 3740670, 4260744, 4643100, 5055696, 6011352, 7034400 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) = A133530(n) + A030078(n+3). - Michel Marcus, Nov 08 2013
EXAMPLE
a(1)=503 because 2^3+3^3+5^3+7^3=503.
MAPLE
N:= 50: # for a(1)..a(N)
P3:= [0, seq(ithprime(i)^3, i=1..N+3)]:
S:= ListTools:-PartialSums(P3):
seq(S[i+4]-S[i], i=1..N); # Robert Israel, Jan 01 2024
MATHEMATICA
a = 3; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a, {n, 1, 100}]
Total/@Partition[Prime[Range[40]]^3, 4, 1] (* Harvey P. Dale, Jan 06 2019 *)
CROSSREFS
Sequence in context: A067949 A200959 A179172 * A361252 A066525 A043304
KEYWORD
nonn
AUTHOR
Artur Jasinski, Sep 14 2007
STATUS
approved

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Last modified March 19 02:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)