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Algebra of Sequences

IF P1 AND P2 ...

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IF P1 AND P2 ARE THE TWO ODD PRIME NUMBERS SUCH THAT P1>P2,THEN P2/1-P2/2 IS

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p_{1}

p_{2}

are two odd prime numbers such that

p_{1} > p_{2}

p_{1}^{2} - p_{2}^{2}

Q. If p₁ and p₂ are two odd prime numbers such that p₁ > p₂, then

p_{1}^{2} - p_{2}^{2}

is

(a) an even number
(b) an odd number
(c) an odd prime number
(d) a prime number

If a random variable X assume values x₁, x₂, x₃, …, x_n with the corresponding probabilities p₁, p₂, p₃, …, p_n. Then

Q. It is given that the number

43361

can be written as a product of two distinct prime numbers

p_{1}, p_{2}

. Further, assume that there are

42900

numbers which are less than

43361

and are co-prime to it. Then,

p_{1} + p_{2}

Q. If "n" is a natural number such that

n = p_{1}^{α 1} . p_{2}^{α 2} . . . . . . . . . . . . . . . p k^{α 2}; p_{1}, p_{2} . . . . . . . . . . . . . ., p_{k}

are distinct primes, then

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