integers
... uninteresting integer. Thus, each integer is interesting.
Proceed in order from one upward through the integers, assessing whether each has some interesting aspect. Eventually, you (may?) come to...
Here is a problem on expressions for successive integers by J.A.H. Hunter.
We take 1815 for a Numbers Game today, just the four figures and no other figures at all. Using those four figures, toget...
Here is a problem by J.A.H. Hunter on expressions for successive integers.
Two fours and two fives are what you have today with no other figures at all. Using them all each time, you have to make ...
Here is a problem by J.A.H. Hunter on Expressions for Successive Integers.
It's the Numbers Game today, a rather easy one to commemorate this wonderful year. You have the four figures of 1959...
Here is a problem on expressions for successive integers by J.A.H. Hunter.
It's the Numbers Game today, with 4433. Using all four each time, but only the two 4s and two 3s, and no other figur...
We have 1137 for the game today. Using all four digits each time, one of each but no other digits at all, form expressions for consecutive numbers from one up.
Any arithmetical signs may be used,...
In the footsteps of J.A.H.Hunter we have aaaa for the game today. Using no more than four a-s each time form expressions for consecutive numbers from one up.
Any arithmetical sign may be used, in...
...y an ordered string of letters (a's, b's, and c's), instead of worrying about the particular integers paired with them (since the only real reason for the integers is to order the lette...
Sorry, this is a mistake. Your message should contain seven integers, since B should have three integers.
...and Mr. P. are both perfect logicians, being able to correctly deduce any truth from any set of axioms. Two integers (not necessarily unique) are somehow chosen such that each is within some specified...
...n one of Knuth's books - probably one of the Art Of Computer Programming series.
If your sample of integers was taken from the set [1..10^n] for some n, then the fraction beginning with 1 wou...
'Divisor Nim' is a game similar to Nim. The game is played between two people. Several positive integers (e.g., 1 through N) are written on a piece of paper. The two players take turns selec...
Second differences between successive integers cubed equal successive multiples of 6:
. . . -27 19 -8 -12 7 -1 -6 1 0 0 1 1 6 7 8 12 19 27 18 37 64 . . .
This should be enough insight to prove...
He just meant the ages had to be integers, i.e. age last birthday.
does anyone know of an online resource capable of dividing integers with 200 digits?
... I believe that they must be of the form [n(a^2-b^2-2ab)]^2, [n(a^2+b^2)]^2, and [n(a^2-b^2+2ab)]^2 for any integers a and b and any rational n (including fractions). [See Note 1].The difference betwe...
Hi,
Take 5 random, sequential, base 10, positive integers below 10,000.
What is the probability that they do not form part of a known sequence which can be generated by any sensible means.
...
... x,y. Then by the premise, 10x+y=6(x+y). Simplifying, we get 4x=5y, where 0<=y<=9; 1<=x<=9; x,y integers. Thus x is a multiple of 5, and so must BE 5, making y=4. So, the only number that ...
...k our operator is quite fully defined, for k as any integer, positive or negative, and m, n as any positive integers.
Formally, it's neat that all the operators (not just the ones for k &...
...r. The content of the message should include your name, and will be ignored unless you win. Numbers must be integers or rational numbers in standard decimal notation. Complex numbers, numbers expresse...
... sci.math?
The base 10 logarithm of 4 is irrational (if it were say, p/q, then 10^p would equal 4^q for integers p,q > 0; that's impossible). sqrt(10) is also irrational; but sqrt(10)^log(...
Arrange the integers from 1 to 9, representing the nine players of a baseball team, into a 3 by 3 grid like so:
1 2 3 4 5 6 7 8 9
Start on any number in the grid and count from one to nine, ea...
Regarding problems by J.A.H.Hunter: EXPRESSIONS FOR SUCCESSIVE INTEGERS. My wife and I have worked all the numbers from 1111 to 9999. This was in the days of paper and pencil only. Later, we did get s...
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