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

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Discussion Overview

The discussion revolves around identifying the least prime number that divides 7999999999 and determining the interval in which this prime number falls, specifically within the range (x; x+100). The scope includes mathematical reasoning and factorization techniques.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant asks for clarification on the original question regarding the least prime number dividing 7999999999.
  • Another participant mentions that the number is relatively small and suggests using the Pari program for quick factorization, noting a specific mathematical manipulation involving 7999999999 + 1.
  • A different participant states that the TI-89 calculator can factor the number quickly.
  • A later reply expresses gratitude for the assistance provided in the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the least prime number or the specific interval, and multiple approaches to factorization are presented without resolution.

Contextual Notes

The discussion does not clarify the assumptions behind the factorization methods or the definitions of prime numbers in this context.

Little ant
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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)
 
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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¡¡¡¡¡
 

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