Question

which one of the following is mersenne prime
a)(2^29)-1
b)(2^23)-1
c)(2^25)-1
d)2^31)-1​

Answer 1

Answer:

(2^31)-1 is your answer

Answer 2

$\underline{\pink{ Mersenne \:Prime \: Numbers:}}$

$Mersenne \:prime \:numbers \: are \: numbers$

$of \: the \: form \: \boxed{\blue{m = 2^{p} - 1 }}$

$For \: m\: to \: be \: prime , p \: itself \:must$

$be\: prime .$

$At \: present \: only \: 43 \: Mersenne \: prime$

$numbers \: are \: known .$

$p = 2,3,5,7,13,17,19,31,61,89,\ldots$

$Here , p = 31$

Therefore.,

$2^{\blue{31}} - 1 \: is \: a \: Mersenne \: prime$

$Option \: \green { ( d ) } \: is \: correct.$

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