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A133524
Sum of squares of four consecutive primes.
22
87, 204, 364, 628, 940, 1348, 2020, 2692, 3700, 4852, 5860, 7108, 8548, 10348, 12220, 14500, 16732, 18580, 21100, 23500, 26380, 30460, 34420, 38140, 41668, 44140, 46708, 52228, 57940, 64828, 71380, 77452, 83092, 88972, 96220, 101908, 109036
OFFSET
1,1
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
FORMULA
a(n) = A133529(n) + A001248(n+3). - Michel Marcus, Nov 08 2013
a(n) ~ 4n^2 log^2 n. - Charles R Greathouse IV, Apr 29 2015
EXAMPLE
a(1)=87 because 2^2+3^2+5^2+7^2=87.
MATHEMATICA
a = 2; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a, {n, 1, 100}]
Total/@Partition[Prime[Range[40]]^2, 4, 1] (* Harvey P. Dale, Dec 09 2018 *)
PROG
(PARI) a(n)=sum(i=n, n+3, prime(i)^2) \\ Charles R Greathouse IV, Apr 29 2015
CROSSREFS
Cf. A034963.
Sequence in context: A101259 A063336 A129515 * A304509 A020314 A008899
KEYWORD
nonn
AUTHOR
Artur Jasinski, Sep 14 2007
STATUS
approved

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Last modified September 20 15:43 EDT 2024. Contains 376073 sequences. (Running on oeis4.)