[QUOTE=Kees][spoiler] exp(pi*sqrt(163)) is nearly an integer (10^-12)
[/spoiler]

Your answer for 155 is prettier and more mathematical :cat: than mine.
For me it is the highest break possible in a snookerframe.

What have the numbers 43 and 49 "for the moment" in common ?[/QUOTE]
You must have a different scoring system or a different meaning of the word "break" from mine.
Snooker has 15 red balls, scoring 1 each, and six colours, scoring between 2 and 7. A maximum break (as I understand the game) pots all reds and a black for each of them, for an intermediate total of (1+7)*15 or 120. The colours then score a further (2+3+4+5+6+7)=27. The total for the maximum break is thus 147.

Paul

Maximum and 'maximum'
 

Evidently, if you just pot reds and blacks followed by the colors, you score 147.
However, if you are allowed to start with a free ball, you can add another 8 points to your break...

[QUOTE=Kees]Evidently, if you just pot reds and blacks followed by the colors, you score 147.
However, if you are allowed to start with a free ball, you can add another 8 points to your break...[/QUOTE]And why, in the standard game, are you allowed to start with a free ball? As far as I know, that occurs only if your opponent has committed a foul shot.

Also as far as I know, the game as played in the UK does not include any penalties given by the opponent as part of a break.

Paul

Nothing to do with Mersenne numbers.

As to the snookerbreak. A foul is not included in the break. But a free ball is.
Imagine the following hypothetical situation: your opponent takes a break-off shot, but slips and horribly miscues and the cueball rolls up to the blue. You are awarded the four point penalty (cueball did not touch the blue) and decide to put the green and play all around for the black. These are surely no penalty points. What's more, you cannot unaccept penaltypoints awarded to your score, but you can unaccept a free ball and let the opponent play.

as a clue: partyproblem

birthday party

not that old yet.

another clue: graph theory

[QUOTE=Kees]Nothing to do with Mersenne numbers.

As to the snookerbreak. A foul is not included in the break. But a free ball is.]

:popcorn:
Hey Kees you're a whiz kid !
I better stick to cricket before I am given LBW.
Mally :coffee:

43 - 49 Age of men-ho-pause ?
Mally

Party people
 

:cat:
43 : The smallest number not mentioned in the entire Bible KJV.

49 is the smallest number with the property that it and its neighbors are squareful.
Is that playful enough?
Mally :coffee:

as of now: indeed, there is still progress expected because of unicity

Ramsey