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

0,2

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.

Links

Table of n, a(n) for n=0..49.

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

Crossrefs

Cf. A000040, A179545.

Sequence in context: A316200 A360636 A362745 * A334396 A265199 A294755

Adjacent sequences: A179786 A179787 A179788 * A179790 A179791 A179792

Keyword

nonn

Author

Odimar Fabeny, Jul 27 2010

Extensions

Extended by R. J. Mathar, Sep 19 2010

Status

approved