So it will be Super Bowl XLIX.

And here’s an amusing article about the NFL’s plans to successfully market and sell t-shirts with a big fat “L” on them in 2016 for Super Bowl L

http://online.wsj.com/article/SB10001424052970204652904577197312698087518.html

]]>“no more than ten times larger”

By that rule, the Packers won two Super Bowl’s this year.

XLV and VL.

Also, I may have been LI-ing about IL … I’m not a Chicago Bears fan after all. Chicago, IL … they’re in the same division as the Green Bay Packers.

That’s a long way to travel for a joke, I know.

]]>Jims, I don’t think IL is an acceptable representation of 49. The rules for Roman numerals allow subtraction only when the subtrahend preceeds a minuend no more than ten times larger. Hence, the only acceptable representation of 49 in Roman numerals is XLIX.

Funny story along those lines, though… my son saw a sign that said, “You must have a valid ID to use your Guest Rewards card.” He asked, “Daddy, what is ID? Is that 499 in Roman numerals?”

]]>IV V VI

IX X XI

IL L LI

I think that’s it.

Did I miss any … well, any less than 100?

I happen to know that there aren’t any RNP size 3 that start at XCIX or above.

CIV CV CVI … no.

DIX DX DXI … nope.

MIL ML MLI … none of these are palindromes.

Here’s a proof for the nonexistence of three-consecutive RNP beginning at 99:

Values above C, as written, begin with C, D, or M.

The only values that end with C, D, or M are congruent to that base,

(i.e. CC or D or MD, etc.) which are also congruent to C for all cases.

Any value consecutively preceding a value congruent to C contains IX (+9).

Any value consecutively following a value congruent to C does not contain XI (+11).

No value congruent to C contains X or I, in any order.

Therefore, no values above 100 written in Roman Numerals are palindromes.

∎

– Are there any RNP of more than three consecutive values that contain C, D, or M?

– I’m not one for numerology, but the idea of palindromes made consecutively within numerical systems … binary is full of palindromes, less so in Base Ten; in fact, unless I’m mistaken, ignoring negative numbers, there are no BTP’s.