A179789 Sum of the differences between the first prime and the next, inside in the first jump in a Sieve of Eratosthenes table.

1, 2, 2, 10, 16, 20, 34, 44, 66, 78, 124, 182, 184, 206, 212, 300, 386, 360, 412, 494, 466, 608, 628, 700, 928, 1046, 1006, 1034, 996, 1034, 1440, 1474, 1728, 1816, 1976, 1922, 2226, 2212, 2264, 2260, 2604, 2722, 2968, 3094, 3158, 3292, 3714, 4148, 4218, 4370

Offset: 0

Author

Odimar Fabeny, Jul 27 2010

Keywords

• nonn

Comments

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.

Crossrefs

Cf. A000040, A179545.

Programs

Maple

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

Extensions

Extended by R. J. Mathar, Sep 19 2010