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Old 2012-09-23, 08:10   #1
davieddy
 
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Default Sieving freakishly big MMs (was "World record" phone number?)

Isn't the notion rendered nonsense by multiplying all the primes up to (say) a billion together and adding 1?

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Old 2012-09-23, 09:00   #2
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2*3*5*7*11*13+1=59*509
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Old 2012-09-23, 11:47   #3
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Quote:
Originally Posted by LaurV View Post
2*3*5*7*11*13+1=59*509
Hmm.
So the largest prime is > 13.
Euclid must have got it wrong!
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Old 2012-09-23, 12:48   #4
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That is behind the proof that there are an infinite number of primes.
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Old 2012-09-23, 12:49   #5
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Quote:
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2*3*5*7*11*13+1=59*509
Nothing beats a refutation as well as a simple counter-example.
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Old 2012-09-23, 12:56   #6
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Quote:
Originally Posted by davieddy View Post
Isn't the notion rendered nonsense by multiplying all the primes up to (say) a billion together and adding 1?
Maybe it is composite with all factors less than M43112609?
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Old 2012-09-23, 13:52   #7
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There are tons of examples in math where we are looking for the interesting cases and ignoring the "trivial" cases which this is. Like the "nontrivial Riemann zeta function zeros".
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Old 2012-09-23, 14:07   #8
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Quote:
Originally Posted by rogue View Post
That is behind the proof that there are an infinite number of primes.
Doh.
Forgot that during a senile moment.
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Old 2012-09-23, 19:00   #9
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I can say with 100% certainty that the smallest prime factor of M(M43112609) is a world record prime, but without an explicit demonstration of such a factor, that is meaningless.
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Old 2012-09-23, 19:26   #10
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Quote:
Originally Posted by ewmayer View Post
I can say with 100% certainty that the smallest prime factor of M(M43112609) is a world record prime, but without an explicit demonstration of such a factor, that is meaningless.
Now you being Ernigmatic again.
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Old 2012-09-23, 20:16   #11
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Quote:
Originally Posted by ewmayer View Post
I can say with 100% certainty that the smallest prime factor of M(M43112609) is a world record prime, but without an explicit demonstration of such a factor, that is meaningless.
Just as well Bob is temporallily indisposed.
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