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 Showing results 1 to 25 of 1000 Search took 0.19 seconds. Search: Posts Made By: 10metreh
 Forum: YAFU 2020-02-15, 14:55 Replies: 492 Views: 66,466 Posted By 10metreh Don't think this one's turned up before: ... Don't think this one's turned up before: 02/15/20 06:53:28 v1.35-beta @ BLACKBOX2, 02/15/20 06:53:28 v1.35-beta @ BLACKBOX2, **************************** 02/15/20 06:53:28 v1.35-beta @...
 Forum: Miscellaneous Math 2019-10-23, 14:29 Replies: 50 Views: 5,662 Posted By 10metreh Consider the equation 3d+4e = 6d+2e. This is... Consider the equation 3d+4e = 6d+2e. This is true for the specific values d = 2 and e = 3, for example. This does not allow us to conclude that 3 = 6 and 4 = 2. (Also from what I can tell the...
 Forum: Miscellaneous Math 2019-04-06, 19:32 Replies: 15 Views: 1,425 Posted By 10metreh There are lots of very smart people on... There are lots of very smart people on stackexchange but they don't like being given long messy expressions like yours, with no explanation of how they were derived, and asked to simplify them. Most...
 Forum: Miscellaneous Math 2019-04-06, 16:57 Replies: 15 Views: 1,425 Posted By 10metreh The expression is equal to 1 for all n (including... The expression is equal to 1 for all n (including pseudoprimes and composites). First we deal with the finite sum. It turns out it can be written in a much simpler form. \sum _{p=1}^{2k}...
 Forum: Miscellaneous Math 2019-02-04, 23:40 Replies: 40 Views: 2,941 Posted By 10metreh Bringing back an argument I've used before. ... Bringing back an argument I've used before. Proof that there are infinitely many primes of the form n2-1: Suppose there are finitely many primes of this form. Then there must be a prime that...
 Forum: Conjectures 'R Us 2019-01-07, 10:59 Replies: 132 Views: 35,046 Posted By 10metreh It would be if it was actually smaller than... It would be if it was actually smaller than 1429458644604553 and had a covering set (I haven't found a prime yet, but what is the factor for n=15?)
 Forum: Conjectures 'R Us 2018-12-31, 18:11 Replies: 132 Views: 35,046 Posted By 10metreh covering.exe has a bug when searching very large... covering.exe has a bug when searching very large k. There is a version bigcovering.exe which fixes this bug - it's available from the same site as covering.exe. The likely CK for this base is...
 2018-04-13, 11:09 Replies: 11 Views: 5,444 Posted By 10metreh But this doesn't affect the finiteness or... But this doesn't affect the finiteness or otherwise of the sequence, as Cunningham chains are finite. Also, as the terms get larger, the probability of hitting a Cunningham chain should tend to 0...
 2018-04-12, 08:45 Replies: 11 Views: 5,444 Posted By 10metreh It feels like these sequences ought to be finite.... It feels like these sequences ought to be finite. The only long-term modular restriction I can think of for members of the sequence is that they cannot be 1 mod p for any p other than 2 and the...
 Forum: Aliquot Sequences 2018-04-03, 12:25 Replies: 6 Views: 7,151 Posted By 10metreh It is correct - look carefully at the brackets. It is correct - look carefully at the brackets.
 Forum: Aliquot Sequences 2018-04-03, 00:12 Replies: 6 Views: 7,151 Posted By 10metreh Yes: oeis.org/A146556 Seems not -... Yes: oeis.org/A146556 Seems not - actually g(3) = 30, and g(4) = 492. The only OEIS match for these terms is oeis.org/A143414 which is clearly unrelated.
 Forum: FactorDB 2018-04-02, 13:23 Replies: 21 Views: 11,003 Posted By 10metreh The thing is, they do. It appears that you... The thing is, they do. It appears that you are computing the aliquot sequence of 2^(p-1)*(2^p-1)*3 for some Mersenne prime 2^p-1. If a has no common factors with 2^(p-1)*(2^p-1), then...
 Forum: Miscellaneous Math 2018-03-06, 18:08 Replies: 21 Views: 3,398 Posted By 10metreh Point 3 tells me that if 104 goes down to 1, then... Point 3 tells me that if 104 goes down to 1, then so does 13. How does knowing 4, 14, 24, 34, 44 and 54 go down to 1 prove that 104 does?
 Forum: Miscellaneous Math 2018-03-03, 14:07 Replies: 53 Views: 4,581 Posted By 10metreh Yes, I agree you've proved your expression (which... Yes, I agree you've proved your expression (which you're calling an equation although it doesn't have an equals sign in it) cannot equal 0. But this doesn't imply there are infinitely many twin...
 Forum: Miscellaneous Math 2018-03-02, 20:38 Replies: 53 Views: 4,581 Posted By 10metreh I fully understand this, and I never said you... I fully understand this, and I never said you believed it. What you're doing is a proof by contradiction, where you assume that something is true (in this case, that there is a prime that "ends all...
 Forum: Miscellaneous Math 2018-03-02, 19:55 Replies: 53 Views: 4,581 Posted By 10metreh Here's a proof that there are infinitely many... Here's a proof that there are infinitely many primes of the form n2-1: Suppose there are finitely many primes of the form n2-1. Then there is some prime p which "ends the possibilities" of...
 Forum: Miscellaneous Math 2018-03-02, 19:44 Replies: 21 Views: 3,398 Posted By 10metreh Am I correct in thinking you're saying that... Am I correct in thinking you're saying that knowing 4, 14, 24, 34, 44 and 54 go down to 1 proves everything goes down to 1? If so, how does your proof show that 13 goes down to 1?
 Forum: Conjectures 'R Us 2018-01-25, 20:02 Replies: 132 Views: 35,046 Posted By 10metreh Back in 2011 I posted lists of conjectured ks for... Back in 2011 I posted lists of conjectured ks for bases 1031 to 2048 in this thread. Since then I found smaller ks for a few very difficult bases, so here are some updated lists. I know it's likely...
 Forum: gophne 2018-01-07, 09:24 Replies: 272 Views: 39,052 Posted By 10metreh I don't think you've taken on board what axn... I don't think you've taken on board what axn meant by this: The point is that, if n is odd, then gcd(n, n+2N) = gcd(n, N) and so you are just checking if n has any common factors with N. But...
 Forum: gophne 2018-01-06, 10:39 Replies: 272 Views: 39,052 Posted By 10metreh CRGreathouse has answered most of the questions... CRGreathouse has answered most of the questions so there isn't much more for me to say. According to the Prime Pages (http://primes.utm.edu/glossary/xpage/Fermat.html), Fermat noticed that 2p...
 Forum: gophne 2018-01-05, 23:17 Replies: 272 Views: 39,052 Posted By 10metreh Gophne, as actual proofs don't seem to have... Gophne, as actual proofs don't seem to have persuaded you, let's have a look at an example to see that the two tests are the same. I'm going to avoid modular arithmetic as much as possible because it...
 Forum: Prime Gap Searches 2018-01-01, 14:11 Replies: 244 Sticky: Prime Gap News Views: 50,258 Posted By 10metreh These are not upper bounds on gaps. Zhang proved... These are not upper bounds on gaps. Zhang proved that there are infinitely many prime gaps smaller than 70,000,000. This does NOT mean that all gaps are smaller than 70,000,000. In fact...
 Forum: gophne 2017-12-31, 23:58 Replies: 29 Views: 8,894 Posted By 10metreh Here is some Pari code to run your test for... Here is some Pari code to run your test for numbers n+2 from 1 to 10000, and print the false positives along with a counter: x=0;for(n=-1,9998,if(isprime(n+2)==0&&(2^n-1)%(n+2)==(n+1)/2,x++;print(x"...
 Forum: gophne 2017-12-31, 19:25 Replies: 272 Views: 39,052 Posted By 10metreh "mod" isn't an operator. You can't just apply it... "mod" isn't an operator. You can't just apply it to one side of an equation. It isn't the same as the "%" operator in many programming languages, though it is somewhat similar. When we say that a...
 Forum: Miscellaneous Math 2017-12-29, 22:36 Replies: 69 Views: 4,746 Posted By 10metreh I don't come here very often, but this caught my... I don't come here very often, but this caught my attention. This is an incredibly bold claim, especially when many of the finest mathematicians of the last two centuries have tried to prove these...
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