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A133525 Sum of third powers of four consecutive primes. 17
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

Table of n, a(n) for n=1..29.

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.

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

Cf. A034963, A133524, A133526, A133527, A133528.

Sequence in context: A067949 A200959 A179172 * A066525 A043304 A045212

Adjacent sequences:  A133522 A133523 A133524 * A133526 A133527 A133528

KEYWORD

nonn

AUTHOR

Artur Jasinski, Sep 14 2007

STATUS

approved

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Last modified February 19 18:30 EST 2019. Contains 320327 sequences. (Running on oeis4.)