Some programs/program [color=green]start/starts to update.
which one is correct?

some programs start to update
some program starts to update

In second sentence, Is “program” uncountable?

No, it’s singular.

if it’s singular then I am not clear about the correctness of “some program”.
Could you please explain it a little bit more?

A program which is not specified starts to update.

Some mangoes(means more than one mango)
The meaning of “some” here is not same with the meaning of “some” at “some program”. Is it?

No, it isn’t. Here 'some is as I explained it above.

Some says that it is correct.
Is the sentence correct?

Some say that it is correct. (plural)
Someone says that it is correct. (singular)