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𝐓𝐡𝐞 𝐆𝐨𝐥𝐝𝐛𝐚𝐜𝐡 𝐂𝐨𝐧𝐣𝐞𝐜𝐭𝐮𝐫𝐞
Pick any even integer 2𝑛 > 2.
Then 2𝑛 can be expressed as the sum of two primes.
• This assertion holds for all evens up to 4 × 10¹⁸.
• However, it has remained unproven since 1742.pic.twitter.com/gxSGRkQzjR
In a 1742 letter to Goldbach, Euler stated: "That … every even integer is a sum of two primes, I regard as a completely certain theorem, although I cannot prove it."
Goldbach's Comet
The "comet" shows the number of ways in which each even number can be expressed as the sum of two primes
For Goldbach's conjecture to be false, there must be a zero value somewhere off to the right
credit:http://www.ltg.ed.ac.uk/~richard/goldbach.html …pic.twitter.com/m1qtJumekF
At least for certain every even integer is a sum of the last prime and one ,but combinations increase the larger the number
Do you mean difference or are we ignoring technicalities?
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