LUCKY NUMBER in MATHEMATICS- WHAT IS IT?

Question

My group is doing a assignment in Mathematics on LUCKY NUMBER, but I dont know anything about it. Can someone help me with its definition and other details? Thanks a lot!

Answer 1

Hunting for prime numbers, those evenly divisible only by themselves and 1, requires a sieve to separate them from the rest. For example, the sieve of Eratosthenes, named for a Greek mathematician of the third century B.C., generates a list of prime numbers by the process of elimination.

To find all prime numbers less than, say, 100, the hunter writes down all the integers from 2 to 100 in order (1 doesn’t count as a prime). First, 2 is circled, and all multiples of 2 (4, 6, 8, and so on) are struck from the list. That eliminates composite numbers that have 2 as a factor. The next unmarked number is 3. That number is circled, and all multiples of 3 are crossed out. The number 4 has already been crossed out, and its multiples have also been eliminated. Five is the next unmarked integer. The procedure continues in this way until only prime numbers are left on the list. Though the sieving process is slow and tedious, it can be continued to infinity to identify every prime number.

Other types of sieves isolate different sequences of numbers. Around 1955, the mathematician Stanislaw Ulam (1909-1984) identified a particular sequence made up of what he called "lucky numbers," and mathematicians have been playing with them ever since.

Starting with a list of integers, including 1, the first step is to cross out every second number: 2, 4, 6, 8, and so on, leaving only the odd integers. The second integer not crossed out is 3. Cross out every third number not yet eliminated. This gets rid of 5, 11, 17, 23, and so on. The third surviving number from the left is 7; cross out every seventh integer not yet eliminated: 19, 39,.... Now, the fourth number from the beginning is 9. Cross out every ninth number not yet eliminated, starting with 27.

Check the following sites for more details -

http://www.wschnei.de/number-theory/lucky-numbers.html
http://mathworld.wolfram.com/LuckyNumber.html
http://en.wikipedia.org/wiki/Lucky_number
http://mathworld.wolfram.com/LuckyNumberofEuler.html
http://www.sciencenews.org/pages/sn_arc97/9_6_97/mathland.htm

Answer 2

1

Answer 3

Hee! Hee!!
It is amazing! You dont know anything about lucky numbers and you are assigned that job!!:O

google this question in google and you will get lots of information!

here are several types of numbers that are commonly termed "lucky numbers."

The first is the lucky numbers of Euler. The second is obtained by writing out all odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, .... The first odd number >1 is 3, so strike out every third number from the list: 1, 3, 7, 9, 13, 15, 19, .... The first odd number greater than 3 in the list is 7, so strike out every seventh number: 1, 3, 7, 9, 13, 15, 21, 25, 31, ....

Numbers remaining after this procedure has been carried out completely are called lucky numbers. The first few are 1, 3, 7, 9, 13, 15, 21, 25, 31, 33, 37, ... (Sloane's A000959). Many asymptotic properties of the prime numbers are shared by the lucky numbers. The asymptotic density is 1/lnN, just as the prime number theorem, and the frequency of twin primes and twin lucky numbers are similar. A version of the Goldbach conjecture also seems to hold.

It therefore appears that the sieving process accounts for many properties of the primes.

http://mathworld.wolfram.com/LuckyNumber.html

Answer 4

Lucky number 8 Destiny number 7

Answer 5

My lucky number is 13

Answer 6

1 - easily available

Answer 7

zero. Can't be divided, multiplied, added to or deducted from.