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The proof was accepted for publication in the Annals of Mathematics Studies series [3] in 2015, and has been undergoing further review and revision since; fully-refereed chapters in close to final form are being made public in the process. [4] Some state the conjecture as Every odd number greater than 7 can be expressed as the sum of three odd ...
For instance, if m is odd, then n − m is also odd, and if m is even, then n − m is even, a non-trivial relation because, besides the number 2, only odd numbers can be prime. Similarly, if n is divisible by 3, and m was already a prime other than 3, then n − m would also be coprime to 3 and thus be slightly more likely to be prime than a ...
Depending on the sources used for the list of interesting numbers, a variety of other numbers can be characterized as uninteresting in the same way. [7] For instance, the mathematician and philosopher Alex Bellos suggested in 2014 that a candidate for the lowest uninteresting number would be 224 because it was, at the time, "the lowest number ...
2013 Ternary Goldbach conjecture: Every odd number greater than 5 can be expressed as the sum of three primes. 2014 Proof of Erdős discrepancy conjecture for the particular case C=2: every ±1-sequence of the length 1161 has a discrepancy at least 3; the original proof, generated by a SAT solver, had a size of 13 gigabytes and was later ...
Polya begins Volume I with a discussion on induction, not mathematical induction, but as a way of guessing new results.He shows how the chance observations of a few results of the form 4 = 2 + 2, 6 = 3 + 3, 8 = 3 + 5, 10 = 3 + 7, etc., may prompt a sharp mind to formulate the conjecture that every even number greater than 4 can be represented as the sum of two odd prime numbers.
Proofs That Really Count: the Art of Combinatorial Proof is an undergraduate-level mathematics book on combinatorial proofs of mathematical identies.That is, it concerns equations between two integer-valued formulas, shown to be equal either by showing that both sides of the equation count the same type of mathematical objects, or by finding a one-to-one correspondence between the different ...
Bloomberg journalist Zeke Faux’s new book isn’t the most nuanced account of crypto—but it may be the funniest. Review: ‘Number Go Up’ is a funny if shallow look at the worst people in crypto
The full statement of Vinogradov's theorem gives asymptotic bounds on the number of representations of an odd integer as a sum of three primes. The notion of "sufficiently large" was ill-defined in Vinogradov's original work, but in 2002 it was shown that 10 1346 is sufficiently large.