I don't see anything specific about 5 times there at all<quoted text>
Anyway, I am quoting the verses of Qur'aan on prayers and these verses show how the Prophet gave the 5 daily prayers:
11:114 "And be constant in praying at the beginning and the end of the day, as well as during the early watches of the night: for, verily, good deeds drive away evil deeds: this is a reminder to all who bear [God] in mind.
That could be three times, four times, six times or even ten times. There is no number given at all.<quoted text>
20:130 "Hence, bear with patience whatever they [who deny the truth] may say, and extol thy Sustainer's limitless glory and praise Him before the rising of the sun and before its setting; and extol His glory, too, during some of the hours of the night as well as during the hours of the day, so that thou might attain to happiness."
24:58 actually only references morning and evening prayers. Still nothing about 5 times per day.<quoted text>
17:78 "BE CONSTANT in [thy] prayer from the time when the sun has passed its zenith till the darkness of night, and [be ever mindful of its] recitation at dawn: for, behold, the recitation [of prayer] at dawn is indeed witnessed [by all that is holy]."
And please do not quote 24:58 to show me three times of prayers, which most clueless ignorant fools quote in vain.
The truth is that the only place where the specific number of 5 times is given is in that ridiculous night journey story that you would rather not talk about, and I can't say that I blame you for not wanting to.