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A108298 Sum of the first 10^n terms in A097975. a(n) = sum_{m=1..10^n} t(m), where t(m) is the sum of the prime divisors of m that are greater than or equal to sqrt(m). 0
0, 30, 1767, 131149, 9901470, 780654405, 64077091471, 5427484448862 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Does a(n+1)/a(n) converge?

EXAMPLE

The first 10^2 terms in A097975 sum to 1767, so a(2) = 1767.

MATHEMATICA

s = 0; k = 1; Do[l = Select[Select[Divisors[n], PrimeQ], # >= Sqrt[n]&]; If[Length[l] > 0, s += l[[1]]]; If[n == k, Print[s]; s = 0; k *= 10], {n, 1, 10^7}]

CROSSREFS

Cf. A097975.

Sequence in context: A196464 A089550 A007804 * A202384 A202369 A042743

Adjacent sequences:  A108295 A108296 A108297 * A108299 A108300 A108301

KEYWORD

more,nonn

AUTHOR

Ryan Propper (rpropper(AT)stanford.edu), Jul 24 2005

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.