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(Python)
from sympy import sieve
from itertools import accumulate, chain
def f(_, n): return _ + len(str(n))
def agen(): yield from accumulate(chain((0, ), (p for p in sieve)), f)
print(list(islice(agen(), 62))) # Michael S. Branicky, Feb 03 2023
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(MAGMAMagma) a068670:=func< n | n + &+[ Floor(Log(10, NthPrime(k))): k in [1..n] ] >; [ a068670(n): n in [1..70] ];
Charles R Greathouse IV, <a href="/A068670/b068670_1.txt">Table of n, a(n) for n = 0..10000</a>. (Initial 0 added by M. F. Hasler, Nov 02 2019.)
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Charles R Greathouse IV, <a href="/A068670/b068670_1.txt">Table of n, a(n) for n = 10..10000</a>. (Initial 0 added by _M. F. Hasler_, Nov 02 2019.)
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(PARI) A68670=[1]List(0); aA068670(n)=if(n>#A68670, my{for(N=#A68670, S=A68670[N]); n, listput(A68670=concat(, A68670, vector(n-[N, k, S] += A097944(N+=1))); S, n, A68670[n+1], 0) } \\ M. F. Hasler, Oct 24 2019
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