Possibly a forming whitehead or blackhead, both of which are relatively minor problems involving the blockage of a sebaceous gland (oil producing gland). There seem to be an abundance of these at either side of the nose. Either will produce a tender feeling when touched, and will often, but not always, become a pimple, which in turn can become infected.
If you are concerned, or if the problem does not self-correct in a few days, see a doctor.
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