A135267 Difference between partial sum of the first n primes and the first n even numbers greater than 0.

0, -1, -2, -3, -2, -1, 2, 5, 10, 19, 28, 41, 56, 71, 88, 109, 134, 159, 188, 219, 250, 285, 322, 363, 410, 459, 508, 559, 610, 663, 728, 795, 866, 937, 1016, 1095, 1178, 1265, 1354, 1447, 1544, 1641, 1746, 1851, 1958, 2065, 2182, 2309, 2438, 2567, 2698, 2833, 2968, 3111, 3258, 3409, 3564, 3719, 3878, 4039, 4200