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zakruti.com » Knowledge, science, education » Numberphile
Sexy Primes - Numberphile

Sexy Primes - Numberphile

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Rating: 4.0; Vote: 1
Sexy Primes Allessandro: Octave Primes, Paired Prime Numbers that are 8 Numbers apart
Examples:
(3 and 11, (5 and 13), (89 and 97,
(23 and 31, (53 and 61,
(59 and 67, (29 and 37.
(71 and 79(131 and 139,
(149 and 157(401 and 409,
(101 and 109, and (11 and 19.
Octave Primes Triplets=
(3 and 11 and 19)

Date: 2022-04-08

Comments and reviews: 9


Does this not contradict the 6, 000, 000 Abel Prize episode where he said it could be one that you could choose any common difference and chain length in order for that CD to be stumbled upon? They say at the end that this can be done with prime numbers, yet proved here that that isn't the case.
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Well, I guess decimal primes next (primes whose that differ by 10):
3, 13
7, 17
13, 23
19, 29
31, 41
37, 47
43, 53
61, 71
73, 83
79, 89
97, 107
3, 13, 23
(with the exception of 107, all numbers are less than 100, just to make the numbers small.

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Sorry JSE, you don't exist.
9: Nonny prime, popular with Shakespeare.
10: Decant primes, useful for drinks
11: Elf prime.
12: Dode primes
14: They're all called Martin.
15: ?
16: ?
17: ?
18: Baiting primes
20: Venti primes
.
40: Naughty

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I came across something once that said that, with the exception of (3, 5, the number between every twin pair of primes is always divisible by 6, and was asked to prove this, but I could never figure it out. Is this notion true? If so, how do you prove it?
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I did this when it was bored-- The distance from x-2 and x+1-2 is 2x+1 and with x-3, it is 6(x-1)+12. Couldn't find a pattern with x-4 but I'm still trying. As far as I know this is original.
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4: 41 -cousin-, in Portuguese, is -primo-. But we also call prime numbers -primos-, so I wonder how cousin primes are called in Portuguese (primos primos)
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OK doc, find me -Googol-ius Primes-! You provably know what I mean by that, it's 2 primes with a difference of 10, 000[. ], 000 between them.
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We need to have 69 in base 10. 666. repeating. You get 73 in base 10, and then 79 is 6 after 73 in base 10. Both are primes
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There are many pairs with differences of 2, 4 (2-2) and 8(2-3)
Are there accumulations at other 2-n values or is it random?

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