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 A106738 Difference between the sums of odd-indexed primes and even-indexed primes up to and including index 10^n. 1

%I

%S 13,251,4031,52017,652039,7746369,89721621,1019145113

%N Difference between the sums of odd-indexed primes and even-indexed primes up to and including index 10^n.

%F Sum1 = prime(1) + prime(3) + ... + prime(k), k=1, 3, 5, ..., 10^n-1.

%F a(n) = Sum_{i=1..10^n} (-1)^i*A000040(i). - _R. J. Mathar_, Feb 13 2008

%p A106738 := proc(n) local a,i ; a :=0 ; for i from 1 to 10^n do a := a+(-1)^i*ithprime(i) ; od: RETURN(a) ; end: for n from 1 do print(A106738(n)) ; od: # _R. J. Mathar_, Feb 13 2008

%t a[n_] := Module[{a = 0}, For[i = 1, i <= 10^n, i++, a = a + (-1)^i*Prime[i]]; a]; Table[Print[an = a[n]]; an, {n, 1, 8}] (* _Jean-François Alcover_, Dec 17 2012, after _R. J. Mathar_ *)

%K more,nonn

%O 1,1

%A _Cino Hilliard_, May 15 2005

%E Edited by _R. J. Mathar_, Feb 13 2008

%E a(7)-a(8) from _Donovan Johnson_, Nov 30 2008

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Last modified February 27 03:03 EST 2020. Contains 332299 sequences. (Running on oeis4.)