I've had similar slow punctures from thorns, that needed a pump once to three times a week .
The thorn can make quite a good plug for the hole in the tube, and it doesn't have to be ridden on very far for the thorn to wear down flush with the tyre, so all you see is a white mark on the tyre, like a stuck on fragment of paper or flower petal. To seal that well, it usually requires that the tube is on the large side for the tyre - a 28-38 standard weight tube in a 28 tyre, or similar.
Slow leaks from very small nicks are best found by inflating the tube outside the tyre to monster size, with the tube something like 6 inches across. The hole stretches proportionally with the tube, and, being bigger, leaks faster.