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A283460
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Sum of the primes to the n-th primeth recurrence: A007097(n).
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0
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0, 2, 5, 10, 28, 160, 1720, 41022, 1755214, 133749406, 16326765766, 3043575378184, 824056192305914, 310985745617574548, 158093565346546280550, 105246070758368902737088, 89604855320176022422345626, 95625469041357230765320405676, 125735670539766378990148368604358, 200685953917230887657316431262249112
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OFFSET
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0,2
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COMMENTS
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Also employed Kim Walisch's primesum.
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LINKS
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FORMULA
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EXAMPLE
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a(0) = 0 since there are no primes up to 1 which is A007097(0);
a(1) = 2 since the first Primeth recurrence, A007097(1) is 2;
a(2) = 5 since the second Primeth recurrence, A007097(2) is 3, and 2+3 = 5;
a(3) = 10 since the third Primeth recurrence, A007097(3) is 5, and 2+3+5 = 10;
a(4) = 28 since the fourth Primeth recurrence, A007097(4) is 11, 2+3+5+7+11 = 28;
a(5) = 160 since the fifth Primeth recurrence, A007097(5) is 31, and 2+3+5+7+11+13+17+19+23+29+31 = 160; etc.
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MATHEMATICA
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f[n_] := Block[{lmt = Nest[ Prime@# &, 1, n], p = 2, s = 0}, While[p <= lmt, s += p; p = NextPrime@ p]; s]; Array[f, 14, 0]
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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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