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A133526
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Sum of fourth powers of four consecutive primes.
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20
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3123, 17748, 46228, 129124, 257044, 522244, 1200964, 2040964, 3784804, 6330724, 9042244, 12998404, 19014724, 28306324, 38733364, 54004804, 71526004, 87806884, 112911124, 140218324, 177548884, 237679924, 302790244, 367882804, 436220164
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history;
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OFFSET
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1,1
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LINKS
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Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
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FORMULA
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a(n) = A133531(n) + A030514(n+3). - Michel Marcus, Nov 08 2013
a(n) ~ 4n^4 log^4 n. - Charles R Greathouse IV, Apr 29 2015
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EXAMPLE
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a(1)=3123 because 2^4+3^4+5^4+7^4=3123.
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MATHEMATICA
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a = 4; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a, {n, 1, 100}]
Total/@Partition[Prime[Range[30]]^4, 4, 1] (* Harvey P. Dale, Sep 09 2014 *)
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PROG
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(PARI) a(n)=sum(i=n, n+3, prime(i)^4) \\ Charles R Greathouse IV, Apr 29 2015
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CROSSREFS
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Cf. A034963, A133524, A133525, A133527, A133528.
Sequence in context: A002433 A107535 A181285 * A250523 A251061 A213193
Adjacent sequences: A133523 A133524 A133525 * A133527 A133528 A133529
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski, Sep 14 2007
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STATUS
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approved
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