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[Context.] The hot subdwarf B star HS0702+6043 is known as a large-amplitude,short-period p-mode pulsator of the EC14026 type. Its atmospheric parametersplace it at the common boundary between the empirical instability regions ofthe EC14026 variables and the typically cooler long-period g-mode pulsators ofthe PG1716 kind.  [Aims.] We analyse and interpret the photometric variability of HS0702+6043in order to explore its asteroseismological potential.  [Methods.] We report on rapid wide band CCD photometric observations tofollow up on and confirm the serendipitous discovery of multiperiodiclong-period luminosity variations with typical time scales of ~1h inHS0702+6043, in addition to the two previously known pulsations at 363s and383s. In particular, we isolate a relatively low-amplitude (~4 mmag),long-period (3538+-130s) light variation.  [Results.] We argue that the most likely origin for this luminosity variationis the presence of an excited g-mode pulsation. If confirmed, HS0702+6043 wouldconstitute a rare addition to the very select class of pulsating stars showingsimultaneously parts of their pressure and gravity mode pulsation spectra. Theasteroseismological potential of such stars is immense, and HS0702+6043 thusbecomes a target of choice for future investigations. While our discoveryappears consistent with the location of HS0702+6043 at the common boundarybetween the two families of pulsating sdB stars, it does challenge theory'scurrent description of stability and driving mechanisms in pulsating Bsubdwarfs.Comment: 4 pages, 3 figures, accepted for publication in A&A Letter

HS 0702+6043: a star showing both short-period p-mode and long-period g-mode oscillations