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A045919 Partial sum of Goldbach numbers A045917. 2
0, 1, 2, 3, 5, 6, 8, 10, 12, 14, 17, 20, 23, 25, 28, 30, 34, 38, 40, 43, 47, 50, 54, 59, 63, 66, 71, 74, 78, 84, 87, 92, 98, 100, 105, 111, 116, 121, 128, 132, 137, 145, 150, 154, 163, 167, 172 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

If the Goldbach conjecture is false then a(n)=a(n+1) for some n.

REFERENCES

C. Clawson, Mathematical mysteries, Plenum Press 1996, p. 241.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..300

Index entries for sequences related to Goldbach conjecture

FORMULA

a(n) = Sum_{k=1..n} Sum_{i=1..k} A010051(i) * A010051(2k-i). - Wesley Ivan Hurt, Apr 07 2018

MATHEMATICA

Table[Sum[Sum[(PrimePi[2 k - i] - PrimePi[2 k - i - 1]) (PrimePi[i] - PrimePi[i - 1]), {i, k}], {k, n}], {n, 100}] (* Wesley Ivan Hurt, Apr 07 2018 *)

CROSSREFS

Cf. A002375, A045917, A045922.

Sequence in context: A120836 A213857 A011864 * A224955 A006856 A249013

Adjacent sequences:  A045916 A045917 A045918 * A045920 A045921 A045922

KEYWORD

easy,nonn

AUTHOR

Felice Russo

STATUS

approved

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Last modified July 20 22:20 EDT 2019. Contains 325189 sequences. (Running on oeis4.)