This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A179789 #8 Apr 18 2019 02:55:04 %S A179789 1,2,2,10,16,20,34,44,66,78,124,182,184,206,212,300,386,360,412,494, %T A179789 466,608,628,700,928,1046,1006,1034,996,1034,1440,1474,1728,1816,1976, %U A179789 1922,2226,2212,2264,2260,2604,2722,2968,3094,3158,3292,3714,4148,4218,4370 %N A179789 Sum of the differences between the first prime and the next, inside in the first jump in a Sieve of Eratosthenes table. %C A179789 2 - 3 = 1, 3 - 5 = 2, 5 - 7 = 2, 7 - 11 = 4 + 7 - 13 = 6 ==> 4 + 6 = 10, 11 - 13 = 2 + 11 - 17 = 6 + 11 - 19 = 8 ==> 2 + 6 + 8 = 16. %p A179789 A179789 := proc(n) a :=0 ; for q from ithprime(n)+1 to 2*ithprime(n) do if isprime(q) then a := a+q-ithprime(n) ; end if; end do: a ; end proc: seq(A179789(n),n=1..50) ; # _R. J. Mathar_, Sep 19 2010 %Y A179789 Cf. A000040, A179545. %K A179789 nonn %O A179789 0,2 %A A179789 _Odimar Fabeny_, Jul 27 2010 %E A179789 Extended by _R. J. Mathar_, Sep 19 2010