Dream On

Last night Dave had a dream.

He dreamt that he was back at his old junior school, a school which in real life has now been demolished. It was just as he had remembered it. A school kid came up to him and asked him why he was still here and Dave suddenly realised it was all a dream, but he didn't want to wake up, he wanted to look around while he still could. It was a pleasant trip down memory lane.

He went over to a small cabinet and started looking at the things there. He picked something up, he later couldn't remember what it was, but he looked at the bottom. There was a serial number. 112116. He repeated it to himself several times. He wanted to remember it. See if it was a real serial number in real life. 112116.

Suddenly the 2 moved, dreams were like that, so Dave wasn't too concerned. It was now 121116. The 2 moved back and forth a few more times, but no other change occured. 112116, 121116, 112116, 121116....

Dave, finally sure he would remember the numbers on waking, continued his look around his childhood memories.

Eventually, he woke up.

He did indeed remember the numbers on waking, and, although in the real world he thought it alot sillier than his dream self, he decided to do a quick google search.

112116

The first page that jumped up was "Prime Curios!", a site which had unusual facts about Prime numbers. It said:

"One of only two six digit integers, abcdef, that has the property that both (abcdef)/(a+b+c+d+e+f) and (abcdef)/(a*b*c*d*e*f) are both prime. Coincidentally, they are the same prime. "

Interesting, if you like that kind of thing, but it was about to get a whole lot stranger...

121116

The second page that jumped up was, again, "Prime Curios!". Dave simply could not believe his eyes....

"The larger, of only two six-digit integers, abcdef, that has the property that both (abcdef)/(a+b+c+d+e+f) and (abcdef)/(a*b*c*d*e*f) are both prime. Coincidentally, they are the same prime. "

The words "only two" hit him like a ton of bricks. There were 900,000 possible 6 digit numbers. Only two of them had this property. To get 1 of them was fairly meaningless, since most numbers have some kind of property, but to get both? And "only" both?

Dave was certain he had never heard of either of these numbers before.

That was spooky.