Explain by what almost-true claim the number 101 is prime

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Reference no: EM132105188

These problems are motivated by computational tasks in RSA encryption.

(a) Compute 2⁷⁴mod 91 (note that 91 = 7 * 13).

(b) Find an a > 0 for which 14a = 1 mod 29.

(c) Calculation shows that 2⁵⁰ = 100 mod 101. Explain by what almost-true claim the number 101 is prime (you need not try possible factorizations of 101).

(d) Calculation shows that 2¹²⁵⁰ = 1844 mod 2501. Show that 2501 is not prime (you need not find the actual factors of 2501).

Reference no: EM132105188

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