Wager Mage
Photo by Tara Winstead Pexels Logo Photo: Tara Winstead

What is a lucky 3 digit number?

1, 3, 7, 9, 13, 15, 21, 25, 31, 33, 37, 43, 49, 51, 63, 67, 69, 73, 75, 79, 87, 93, 99, 105, 111, 115, 127, 129, 133, 135, 141, 151, 159, 163, 169, 171, 189, 193, 195, 201, 205, 211, 219, 223, 231, 235, 237, 241, 259, 261, 267, 273, 283, 285, 289, 297, 303, 307, 319, 321, 327, ...

en.wikipedia.org - Lucky number - Wikipedia
What is slang for McDonald's in Australia?
What is slang for McDonald's in Australia?

Macca's Here in Australia, however, McDonald's most prevalent nickname is “Macca's”. A recent branding survey commissioned by McDonald's Australia...

Read More »
Last updated Nov 8, 2019
What does 12 5 odds mean?
What does 12 5 odds mean?

12-5 Betting Odds means that out of 17 possible outcomes, the 12/5 odds are that there will be 12 of one kind of outcome and 5 of another kind of...

Read More »
Last updated Jan 11, 2018

Integer filtered out using a sieve similar to that of Eratosthenes

This article is about the mathematical concept. For other uses, see Lucky number (disambiguation)

Not to be confused with Fortunate number or Numerology

In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the Sieve of Eratosthenes that generates the primes, but it eliminates numbers based on their position in the remaining set, instead of their value (or position in the initial set of natural numbers).[1] The term was introduced in 1956 in a paper by Gardiner, Lazarus, Metropolis and Ulam. They suggest also calling its defining sieve, "the sieve of Josephus Flavius"[2] because of its similarity with the counting-out game in the Josephus problem. Lucky numbers share some properties with primes, such as asymptotic behaviour according to the prime number theorem; also, a version of Goldbach's conjecture has been extended to them. There are infinitely many lucky numbers. Twin lucky numbers and twin primes also appear to occur with similar frequency. However, if L n denotes the n-th lucky number, and p n the n-th prime, then L n > p n for all sufficiently large n.[3] Because of their apparent similarites with the prime numbers, some mathematicians have suggested that some of their common properties may also be found in other sets of numbers generated by sieves of a certain unknown form, but there is little theoretical basis for this conjecture.

The sieving process [ edit ]

An animation demonstrating the lucky number sieve. The numbers on a reddish orange background are lucky numbers. When a number is eliminated its background changes from grey to purple. Begin with a list of integers starting with 1: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Every second number (all even numbers) in the list is eliminated, leaving only the odd integers: 1 3 5 7 9 11 13 15 17 19 21 23 25 The first number remaining in the list after 1 is 3, so every third number (beginning at 1) which remains in the list (not every multiple of 3) is eliminated. The first of these is 5: 1 3 7 9 13 15 19 21 25 The next surviving number is now 7, so every seventh remaining number is eliminated. The first of these is 19: 1 3 7 9 13 15 21 25 Continue removing the nth remaining numbers, where n is the next number in the list after the last surviving number. Next in this example is 9.

Is a bonus guaranteed?
Is a bonus guaranteed?

If you were terminated and the promise of a bonus is considered in your contract, your employee might still be required to pay you the bonus. But,...

Read More »
Last updated Sep 30, 2022
What are the 5 tips for goal setting?
What are the 5 tips for goal setting?

10 tips to achieve your goals Have SMART goals. You're not going to achieve your goals if they aren't SMART. ... Write them down. Don't just...

Read More »
Last updated Nov 8, 2020

One way that the application of the procedure differs from that of the Sieve of Eratosthenes is that for n being the number being multiplied on a specific pass, the first number eliminated on the pass is the n-th remaining number that has not yet been eliminated, as opposed to the number 2n. That is to say, the list of numbers this sieve counts through is different on each pass (for example 1, 3, 7, 9, 13, 15, 19... on the third pass), whereas in the Sieve of Eratosthenes, the sieve always counts through the entire original list (1, 2, 3...). When this procedure has been carried out completely, the remaining integers are the lucky numbers (those that happen to be prime are in bold): The lucky number which removes n from the list of lucky numbers is: (0 if n is a lucky number)

Lucky primes [ edit ]

A "lucky prime" is a lucky number that is prime. They are:

It has been conjectured that there are infinitely many lucky primes.[4]

See also [ edit ]

References [ edit ]

en.wikipedia.org - Lucky number - Wikipedia
How do I transfer cash to my bank?
How do I transfer cash to my bank?

When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller...

Read More »
Last updated Mar 4, 2021
What Win 4 number comes out the most?
What Win 4 number comes out the most?

The most popular numbers chosen by players for New York's Numbers and Win 4 games are 111 and 0000, lottery organizers say. After 111, the next...

Read More »
Last updated Sep 7, 2018
What app send money immediately?
What app send money immediately?

You can also use PayPal Instant Transfer for a fee and transfer funds immediately. PayPal offers versions of its app for iOS, Android, and Windows....

Read More »
Last updated Oct 13, 2020
What is my handicap if I shoot 88?
What is my handicap if I shoot 88?

If you shoot between 81 and 85, your handicap will be between 6 and 9. If you shoot between 86 and 91, your handicap will be between 10 and 13. If...

Read More »
Last updated Dec 31, 2020