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A191216
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Arithmetic derivative of prime(n) * prime(n+1) * prime(n+2) * prime(n+3) * prime(n+4) * prime(n+5).
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0
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361, 230456, 1005768, 3462570, 11006128, 25925028, 61456764, 127697940, 249379116, 448408452, 740850012, 1263239320, 1914568816, 2884222410, 4371191782, 6287341056, 8758591370, 11640682466, 15938770638, 21721208748, 29153150298, 38784336168, 49888704100, 62506263054, 76188213990, 95511276660, 118760260290, 150724895476, 187405610004, 243040520764
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = (prime(n) * prime(n+1) * prime(n+2) * prime(n+3) * prime(n+4) * prime(n+5))' where f' is the arithmetic derivative (see A003415) of f.
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MAPLE
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der:=n->n*add(op(2, p)/op(1, p), p=ifactors(n)[2]);
seq(dif(ithprime(i)*ithprime(i+1)*ithprime(i+2)*ithprime(i+3)*ithprime(i+4)*ithprime(i+5)), i=1..30);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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