Q2: Use Fermat's method to analyze the number into its * prime factors (1745)
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Q: the 20 1, 2, 3 Factor the number 211 – 1 by Fermat's factorization method. -
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Q: Q2: Use Fermat's method to analyze the number into its prime factors (1745)
A: We have to find prime factorisation of 1745 using Fermat's method.
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Q: Fermat's theorem is not true for some prime number. اختر واحد
A: False
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A: Solution of the problem as follows
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- Prove using principle of mathematical inductionUse generating functions to find the number of ways toselect 14 balls from a jar containing 100 red balls, 100blue balls, and 100 green balls so that no fewer than 3and no more than 10 blue balls are selected. Assume thatthe order in which the balls are drawn does not matter.Please find a recursive formula (Using Stirling Numbers of the Second Kind.) for the number of partitions of a set with n elements into k parts such that each part contains at least 2 elements.
- Determine the smallest integer that can be expressed as a sum of two primes in three different waysUsing the digits from the set [0, 1, 2, 3, 4, 5, 6], find the amount of odd three-digitnumbers that can be created. () In a round-robin chess tournament, each player is paired with every other player once.The formula22x xN−=models the number of chess games, N, that must be played in a round-robintournament with x chess players. If 36 games were played, how many players were entered in thetournament.
- Prove that there are infinity many primes . Please provide a typed solutionFind the number of 4-digit even numbers formed using the digits 0 to 5 when repetition of digits is allowed and when it is not. Zero cannot be placed in front. Repetition allowed: _____ways Repetition not allowed: ____ waysUse Fermat’s little theorem to find the least residue of 863 modulo 31.
- find a formula for (first photo) for n ≠ 1 using (second photo) to evaluate, find1) expansion in Fourier series in real form by continuation of thefunction in odd and even way over total number axis;2) graphs for both ways of continuation.Use Fermat's Theorem to find a number x between 0 and 28 with x 85 congruent to 6 modulo 29. (You should not need to use any brute force searching.)