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Eccouncil 212-81 Exam - Topic 12 Question 49 Discussion

Actual exam question for Eccouncil's 212-81 exam
Question #: 49
Topic #: 12
[All 212-81 Questions]

Uses a formula, M_n = 2^n 1 where n is a prime number, to generate primes. Works for 2, 3, 5, 7 but fails on 11 and on many other n values.

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Suggested Answer: D

by Portia at Dec 06, 2024, 08:47 AM

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Brendan
3 months ago
Not convinced this is a reliable method for generating primes.
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Ammie
3 months ago
Mersenne primes are a different thing altogether.
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Mona
3 months ago
Wait, it fails on 11? That's surprising!
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Telma
4 months ago
Totally agree, it breaks down at 11!
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Erick
4 months ago
This formula only works for a few primes, like 2, 3, 5, and 7.
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Rebecka
4 months ago
This formula worked for the first few primes, but I definitely recall it failing for others. I wonder if there's a pattern or a specific reason for that.
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Providencia
4 months ago
I feel like I might have mixed up Mersenne primes with something else. I just remember they have to do with powers of 2, right?
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Florinda
4 months ago
I think I saw a similar question about generating primes using different formulas. I’m not sure if this one is reliable for all primes, though.
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Crista
5 months ago
I remember studying Mersenne primes, but I thought they were related to a different formula. This one seems off for higher primes like 11.
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Darnell
5 months ago
I'm a bit confused by this one. The formula seems to be generating some prime numbers, but not others. I'll need to review my knowledge of prime numbers and see if I can figure out what's going on here. Maybe I'll start by trying some more values of n to see if I can spot a pattern.
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Raul
5 months ago
Ah, I think I've got it! This is asking about Mersenne primes, which are primes of the form 2^n - 1. The formula given is correct for generating Mersenne primes, but it doesn't work for all prime numbers. I'll need to focus on the properties of Mersenne primes to answer this.
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Selma
5 months ago
Okay, let me break this down step-by-step. The formula is M_n = 2^n - 1, where n is a prime number. It works for 2, 3, 5, and 7, but fails on 11 and other values. I'll need to investigate why that is and see if I can find a pattern.
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Stefany
5 months ago
Hmm, this looks like a tricky one. The formula seems to work for some prime numbers, but not others. I'll need to think carefully about the properties of Mersenne primes and how they relate to this formula.
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Brittani
10 months ago
Mersenne Primes, eh? I bet the person who came up with that formula was really feeling prime-itive.
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Carylon
8 months ago
C) Even Numbers
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Delisa
8 months ago
B) Co-prime Numbers
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Laquanda
9 months ago
A) Fibonacci Numbers
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Jospeh
10 months ago
Wait, the formula works for 2, 3, 5, and 7, but fails on 11? Sounds a bit suspicious, if you ask me.
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Cecily
9 months ago
C) Even Numbers
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Elden
9 months ago
B) Co-prime Numbers
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Wilford
9 months ago
A) Fibonacci Numbers
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Dick
10 months ago
Definitely not Fibonacci Numbers or Even Numbers. This has to be something more specific, like Mersenne Primes.
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Nancey
9 months ago
Mersenne Primes are a special case that works with this formula.
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Belen
9 months ago
It's not Co-prime Numbers or Fibonacci Numbers for sure.
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Robt
9 months ago
Yes, Mersenne Primes fit the formula M_n = 2^n - 1 for prime numbers.
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Tess
10 months ago
I think it might be Mersenne Primes.
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Karl
10 months ago
Hmm, Mersenne Primes? Sounds like the right answer, but I'll have to double-check the formula.
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Ayesha
11 months ago
I'm not sure, but I think it could also be B) Co-prime Numbers since the formula involves prime numbers.
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Leeann
11 months ago
I agree with Leslie, because Mersenne Primes are generated using the formula mentioned.
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Leslie
11 months ago
I think the answer is D) Mersenne Primes.
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