Luke and the second account from Matthew don't mention three days and nights.
Luke 11
29 And when the people were gathered thick together, he began to say, This is an evil generation: they seek a sign; and there shall no sign be given it, but the sign of Jonas the prophet.
30 For as Jonas was a sign unto the Ninevites, so shall also the Son of man be to this generation.
31 The queen of the south shall rise up in the judgment with the men of this generation, and condemn them: for she came from the utmost parts of the earth to hear the wisdom of Solomon; and, behold, a greater than Solomon is here.
32 The men of Nineve shall rise up in the judgment with this generation, and shall condemn it: for they repented at the preaching of Jonas; and, behold, a greater than Jonas is here.
Matthew 16
1 The Pharisees also with the Sadducees came, and tempting desired him that he would shew them a sign from heaven.
2 He answered and said unto them, When it is evening, ye say, It will be fair weather: for the sky is red.
3 And in the morning, It will be foul weather to day: for the sky is red and lowring. O ye hypocrites, ye can discern the face of the sky; but can ye not discern the signs of the times?
4 A wicked and adulterous generation seeketh after a sign; and there shall no sign be given unto it, but the sign of the prophet Jonas. And he left them, and departed.
http://torah.clonehost.net/pages/jonah.html
Also, Luke refers to a non-existant prophecy, the closest match is Hosea 6:2, which does not mention the Messiah.
And said unto them, Thus it is written, and thus it behoved Christ to suffer, and to rise from the dead the third day:
Luke 24:46