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10^n-th difference between cumulative prime and odd sums.
2

%I #13 May 11 2023 09:38:44

%S 38,14478,2688838,396250152,52261798440,6472980453364,770530574266708

%N 10^n-th difference between cumulative prime and odd sums.

%H Chai Wah Wu, <a href="/A134182/b134182.txt">Table of n, a(n) for n = 1..23 (using terms from A006988 and A099824)</a>

%F Beginning at 3, compute the sums of the prime and odd sequences at 10^n and take the difference.

%F a(n) = A099824(n)+prime(10^n+1)-(10^n*(10^n+2))-2. - _Chai Wah Wu_, Mar 30 2020

%e a(2)=14478 because at 10^2, 100 sums of primes and odds, the prime sum is 24678, the odd sum is 10200 and the difference is 14478

%o (UBASIC) 10 N=1:A=2 20 A=nxtprm(A):B=B+A 30 N=N+2:D=D+N 40 if C=9 then print A;N;B;D;B-D:stop 50 C=C+1: if C<10 then 20

%Y Cf. A006988, A071148, A005563, A099824, A134181.

%K more,nonn

%O 1,1

%A _Enoch Haga_, Oct 13 2007