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Old 2020-11-12, 06:00   #34
firejuggler
 
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Any factor of this would be the largest prime ever found.
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Old 2020-11-12, 07:00   #35
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Why is that? Factors would have form 2kp+1, where p is 2^127-1, right?

Last fiddled with by VBCurtis on 2020-11-12 at 07:00 Reason: k -> p
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Old 2020-11-12, 07:17   #36
LaurV
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Quote:
Originally Posted by VBCurtis View Post
Why is that? Factors would have form 2kp+1, where p is 2^127-1, right?
Yep, according with the current status of the search (k~~2^57) we can still find plenty of factors of ~185+ bits (around 55+ digits). Coarse calculus.

Last fiddled with by LaurV on 2020-11-12 at 07:22
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Old 2020-11-12, 07:48   #37
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My bad I made a mistake.
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Old 2020-11-12, 10:50   #38
Viliam Furik
 
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Quote:
Originally Posted by LaurV View Post
...Coarse calculus.
I am not sure where is the calculus in this?
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Old 2020-11-12, 12:29   #39
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See definitions other than 1b:

https://www.merriam-webster.com/dictionary/calculus

Last fiddled with by a1call on 2020-11-12 at 12:46
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Old 2020-11-12, 13:07   #40
Viliam Furik
 
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Quote:
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I don't accept these definitions to be valid.

Calculus is calculus, other mathematics is other mathematics.
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Old 2020-11-12, 13:14   #41
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Quote:
Originally Posted by Viliam Furik View Post
I don't accept these definitions to be valid.

Calculus is calculus, other mathematics is other mathematics.
And English is English
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Old 2020-11-12, 14:19   #42
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Quote:
Originally Posted by LaurV View Post
Quote:
Originally Posted by Dr Sardonicus View Post
By the same "reasoning," all numbers larger than F33 also must be composite.
Aren't they? Show me a prime larger than F33...
Heck, I can't even "show you" F33. It has to be specified using accepted notation, so I will do the same to specify larger primes. Here are two:

1) The smallest prime exceeding F33; in Pari-GP notation, this could be expressed nextprime(2^(2^33)33 + 2) although Pari-GP only guarantees a value for which ispseudoprime() returns 1. Not a problem here.

Bertrand's Postulate (which has of course been proven) guarantees the existence of a prime between F33 and 2*F33.

2) The smallest prime factor of F2^(2^34) - 2.
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Old 2020-11-12, 14:57   #43
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Quote:
Originally Posted by Dr Sardonicus View Post
Heck, I can't even "show you" F33. It has to be specified using accepted notation, so I will do the same to specify larger primes.
We can at least write F33 as 2^8589934592+1, yes? That may at least help to illustrate just how much larger it is than the largest-known prime, 2^82589933-1.
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Old 2020-11-12, 17:25   #44
Uncwilly
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Quote:
Originally Posted by bbb120 View Post
you don't know Google and Wikipedia and Twitter and Facebook and YouTube
can not be used in some country
Yahoo and Bing are available in China. I just tested that. The principle is the same. Search and search with various things like
"binary splitting" algorithm or "binary splitting" algorithm explained

Last fiddled with by Uncwilly on 2020-11-12 at 17:26
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