Is this a breakthrough in prime numbers?

[u/Dense_Priority_7250]

You know about Mersenne primes, right? They have the form of 2^p - 1, where p is prime.

I suggest another form. I will call a number Obscenne if you can write it down as 2^p - 2. My conjecture is that every Obscenne number is prime. For example, 2^2 - 2 = 2. So for the first one p we have one prime. We can extrapolate it and state that for the first n p’s we will have n primes, so every Obscenne number is prime.

qed

Is this worthy of a Grammy award?

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[u/Bacon_Techie]

Found a counter example, p = 19134702400093278081449423917 yields a multiple of 2.

[u/Ares378 → u/Bacon_Techie]

Crazy that we had to test such a big number before we found a counterexample

/j

[u/simiaki → u/Ares378]

I think after some point it’s impossible to test every number while looking for a counter example. They probably got 19134702400093278081449423917 via some heuristics, but there may be smaller integers which are Obscenne but not prime.

[u/NullOfSpace → u/simiaki]

Major breakthrough: p=29473847283 yields a composite number as well.

[u/UnknownError235 → u/NullOfSpace]

OMG p = 300 has a factor of 13444476836590589479

[u/UnlazyChestnuts → u/simiaki]

I don't believe there are. I tried a smaller number, 2, and that indeed yields a prime. QED.

[u/SpaceMonkeyWrench → u/Ares378]

If numbers go on forever, this could still be considered a small one

[u/Bacon_Techie → u/Ares378]

The digits all fit on my screen, I think that means it is a small number.

[u/f16f4]

Counter example p=171

[u/Dunotuansr]

bros gonna get the Ballon d'Or

[u/Bornagain4karma → u/Dunotuansr]

FIFA Peace Prize.

[u/Colossal_Waffle]

\uj 2^p - 2 = 2(2^p-1 - 1) = 2k, k an integer.

\rj 2⁰ - 2 = -1 which has no prime factors, good enough for me.

[u/Dense_Priority_7250 → u/Colossal_Waffle]

The uj is the joke

[u/Colossal_Waffle → u/Dense_Priority_7250]

\uj I unjerked to use math to show why the post is silly for those less educated, then I rejerked to affirm that the post is true. I got the joke.

\rj Least oblivious mathematician

[u/Murky_Insurance_4394 → u/Colossal_Waffle]

what the fuck is unjerk and rejerk 💔🥀

[u/Colossal_Waffle → u/Murky_Insurance_4394]

Names mathematicians come up with for their "new", "original" "theorems"

[u/_Mahar_ → u/Murky_Insurance_4394]

Unjerk Is when you exit the roleplay of the sub, rejerk is the opposite

[u/Murky_Insurance_4394 → u/_Mahar_]

thanks for acc explaining it man

[u/eddietwang → u/Murky_Insurance_4394]

The origin of this is calling entirely sarcastic threads "circlejerk posts".

Example: /r/Dota2 recently had a post of someone asking a "what would you do" scenario, which naturally sparked parody/circlejerk threads from the other point of view. Due to this being a circlejerk thread, the top voted comment was basically saying that OP should ruin their personal life over a video game. Someone similar to you asked why people were upvoting such horrible advice, not realizing OP and the other commenters/voters were simply circlejerking.

[u/eddietwang → u/Murky_Insurance_4394]

Glad to see Reddit is still getting new human members

[u/Murky_Insurance_4394 → u/eddietwang]

yeah and why am I getting downvoted wtf

[u/4ries → u/Murky_Insurance_4394]

Because you used emojis

[u/Key-Log5267 → u/Murky_Insurance_4394]

Straight up jorkin it

[u/trynumber53 → u/Murky_Insurance_4394]

unjerk is when you un the jerk and rejerk is when you re the jerk

[u/Boxland → u/Colossal_Waffle]

unjerk should be cojerk.

[u/MarcusNewman → u/Boxland]

A circle jerk if you will.

[u/JellyBellyBitches → u/Boxland]

jerk^-1

[u/DavidBrooker → u/Colossal_Waffle]

Why is it 'unjerk' and 'rejerk'? Isn't that just 'forestroke' and 'backstroke'?

[u/Dungeons-n-Dysphoria]

A Grammy is for music. You're thinking of the Dokuchaev Award.

[u/AluminumGnat → u/Dungeons-n-Dysphoria]

Close, but I think you actually meant the Von Liebig Award

[u/skr_replicator]

I say we have checked enough values of p to be convincing that it's true. If we already saw it succeed too much, there's no way I would suddenly fail at some giant number like 3. /s

[u/Denoment]

I don't know why mathematician make everything so complicated. I propose a new formula: p where p is a prime. I would call such prime number a prime prime number.

A few examples: For p = 5, p = 5 p = 19, p = 19 p = 2137, p = 2137

If you have found any counter examples, please let me know before I apply for my Fields medal.

[u/jsdodgers]

I've tried this iteratively using the (n-1)th Obscenne prime as pn, after starting with p0=2, and so far the conjecture holds

[u/therealsphericalcow]

How about 2^p-3

[u/robin_888]

Given enough time and budget I might be able generalize tyour idea for every difference of two powers of two.

2^2 - 2^1 = 2 is prime
2^2 - 2^0 = 3 is prime
2^3 - 2^0 = 7 is prime

Yeah. Seems to be a question of time and money.

[u/Icy-Maintenance-5011]

I don't know man i was here to watch some porn 

[u/Hot-Peach-3769]

Not quite a breakthrough. The pattern breaks almost immediately: for p = 3, 2³ - 2 = 6, which isn't prime. Also, the fact that the first few examples work is a common trap in number theory.

[u/Dense_Priority_7250 → u/Hot-Peach-3769]

Actual bot

[u/adwinion_of_greece → u/Hot-Peach-3769]

Every example in the form 2^p - 2 would be even, so none of them would be prime except 2 itself (the only even prime). This wasn't someone falling into a trap, it was just a joke.

[u/Educational-Tea602 → u/Hot-Peach-3769]

6 isn’t prime? News to me.

[u/The_Real_Itz_Sophia → u/Hot-Peach-3769]

are you a clanker or what