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

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The discussion focuses on finding the least prime number that divides 7999999999 and identifying the interval (x; x+100) for this prime. A participant mentions that the number is relatively small and can be quickly factored using the software Pari or a TI-89 calculator. The factorization process involves recognizing that 7999999999 can be expressed as 8*10^9 - 1. The conversation highlights the efficiency of mathematical tools in solving such problems. Overall, the thread emphasizes the ease of determining prime factors for large numbers using available technology.
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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¡¡¡¡¡
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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