Let a be a natural number such that gcd(a, 10) = 1. Use Euler’s theorem to prove that a^40n+1 and a must have the same ones and tens digits in their base ten expansions

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Q: Va 占>0 !! に

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Q: Using Fermat's little theorem, find the least residue of the multiplicative inverse of 5^53 - 4…

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Q: M. log, M Swthat log psitive real numbers and aL log, N, where a, M, and N - 1.

A: logaMN = logaM - logaNAssume that x= logaM and y =logaNx= logaM→ M = ax y =logaN→N = ayMN = axay =…

Q: Which of the following gives the Binet form of the nth Fibonacci number? O Fn = Fn = Fn = Fn =…

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A: Even numbers for [1,10] is given below-

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Q: Letr = (15462 37) and q = (2 4 5 6) be permutations in S7, written in cycle notation. What is the…

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A: jyujhjyukjhjkkhjjghfgf

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Q: Assume that n ∈ N. Prove that if 3|(2n + 1) then 9|(10n^ 2 + n − 2).

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