Least Prime Number for N=7999999999: Interval (x; x+100)

  • Context: Undergrad 
  • Thread starter Thread starter Little ant
  • Start date Start date
  • Tags Tags
    Prime
Click For Summary
SUMMARY

The least prime number that divides 7999999999 can be determined using the Pari program, which efficiently handles large numbers. The discussion highlights that 7999999999 can be expressed as 8*10^9 - 1, factoring into (2^3)(10^9) - 1. Additionally, the TI-89 calculator is noted for its rapid factorization capabilities, providing results in seconds. This indicates the effectiveness of specific mathematical tools for prime factorization.

PREREQUISITES
  • Understanding of prime numbers and their properties
  • Familiarity with the Pari program for mathematical computations
  • Knowledge of factorization techniques
  • Experience using the TI-89 calculator for advanced calculations
NEXT STEPS
  • Explore advanced features of the Pari program for number theory
  • Learn about prime factorization algorithms
  • Investigate the capabilities of the TI-89 calculator for complex mathematics
  • Study the mathematical properties of numbers in the form of 8*10^n - 1
USEFUL FOR

Mathematicians, computer scientists, and students interested in number theory and prime factorization techniques.

Little ant
Messages
21
Reaction score
0
if N=7999999999 what are the least prime number, which divide to 7999999999? Or i which intervale is it?(intervale must be (x ; x+100)
 
Mathematics news on Phys.org
can u please elaborate the question a bit
 
Well, that's a fairly small number and Pari--a free program--gets that instantly. But, anyway to get started, look at 7999999999+ 1= 8*10^9-1 = (2^3)(10^9)-1.
 
TI-89 factors the number in just a few seconds.
 
Man, THANKS A LTO, YOU ARE SO GREAT¡¡¡¡¡
 

Similar threads

Graduate Prime Number Powers of Integers and Fermat's Last Theorem
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How should I write an account of prime numbers?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Is it required to use the Reimann function to solve the problem?
  • · Replies 8 ·
Replies
8
Views
1K
MHB Finding the Minimum $x$ for a Prime Product
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Significance of discovering a function which computes the n-th prime?
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Union of Prime Numbers & Non-Powers of Integers: Usage & Contexts
  • · Replies 1 ·
Replies
1
Views
2K
MHB What is the remainder when m+n is divided by 1000 in a trigonometric challenge?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Math Myth: A prime is only divisible by 1 and itself
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Is Riemann's Zeta at 2 Related to Pi through Prime Numbers?
  • · Replies 58 ·
2
Replies
58
Views
9K
High School Proving Euclid's Lemma: The Role of Primality in Divisibility
  • · Replies 6 ·
Replies
6
Views
2K