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We discuss the modified gravity which includes negative and positive powersof the curvature and which provides the gravitational dark energy. It is shownthat in GR plus the term containing negative power of the curvature the cosmicspeed-up may be achieved, while the effective phantom phase (with $w$ less than-1) follows when such term contains the fractional positive power of thecurvature. The minimal coupling with matter makes the situation moreinteresting: even 1/R theory coupled with the usual ideal fliud may describethe (effective phantom) dark energy. The account of $R^2$ term (consistentmodified gravity) may help to escape of cosmic doomsday.Comment: LaTeX file, 9 pages, based on the talk given by S.D. Odintsov (Int.  Conference Mathematical Methods in Physics, Rio de Janeiro, Augest, 2004), to  appear in CQG, Letter

Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday