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A133542
Sum of sixth powers of five consecutive primes.
5
1905628, 6732373, 30869213, 77899469, 225817709, 818869469, 1701546341, 4243135181, 8946193541, 15119520701, 25303912709, 46580770157, 86195577389, 132965847509, 217102866629, 334423935221, 463593800381, 664500722261
OFFSET
1,1
FORMULA
a(n) = A133528(n) + A030516(n+4). - Michel Marcus, Nov 09 2013
EXAMPLE
a(1)=1905628 because 2^6+3^6+5^6+7^6+11^6=1905628.
MATHEMATICA
a = 6; Table[Prime[n]^a + Prime[n + 1]^a + Prime[n + 2]^a + Prime[n + 3]^a + Prime[n + 4]^a, {n, 1, 100}]
Total/@(Partition[Prime[Range[30]], 5, 1]^6) (* Harvey P. Dale, Mar 13 2011 *)
KEYWORD
nonn
AUTHOR
Artur Jasinski, Sep 14 2007
STATUS
approved