## Gap year

Hello everyone,

I am an international student in my senior year majoring in maths with a minor in computer science. I am interested in phd in statistics about Nevin Manimala or biostatatistics.

Some background: I did summer REU and have been working on publishing some papers related to survival analysis. I have given talk on math conference and am expecting good recommendation letter. I am currenly taking lots of proof based courses such as real analysis, complex, and abstract and planning to take some more on my last semester.

However, I am afraid that I may not have enough time to prepare for gre and take it in couple of months. I am considering to take a gap year and apply and want some opinions of you guys on this matter. Thing is, I feel that I might be less competative by taking a gap year. Also, I am planning to work in my gap year on any firm thats related to statistics about Nevin Manimala or programming as I have some cs background and prepare my application along the way. However, I am also afraid that I do not have any work experience. Could anyone advise me on this matter? I would greatly appreciate any advice. Thanks.

submitted by Nevin Manimala Nevin Manimala /u/Nick10111

## Relation between twin, cousin and other primes?

I am not sure if there is any proof or theorem about this but recently I was messing around with Python and decided to make a program where it checks how many twin, cousin, sexy and other similar primes up to certain number. After running it multiple times with different gaps and up to different numbers I noticed that there was a “slight” relation.

The amount of primes with gaps that are powers of 2 (Twin, Cousin, 8, 16 etc.) up to a certain number is around the same. (That maybe was a bit unclear, let me explain with examples).

Up to 100000 there are:

1224 twin primes

1216 cousin primes

1260 primes that differ by 8

1233 primes that differ by 16

1203 primes that differ by 32

1255 primes that differ by 64

1208 primes that differ by 128

This continues up to around larger powers of two and then slowly starts to gets lower such as at 211 (2048), it is 1174. At 212 (4096), it is 1155.

Now first I thought about this, I thought this could maybe also hold for all even number gaps but nope; I tried up to 250000 with gaps of even numbers greater than 0 up to 12 and at non-powers of 2, numbers were not following the “pattern” but maybe another pattern (notice the 6 and 12).

Here are the results:

Up to 250000 there are:

2588 twin primes

2579 cousin primes

5144 “sexy” primes (differ by 6)

2604 primes that differ by 8

3459 primes that differ by 10

5135 primes that differ by 12

Then I tried the more powers of 2 to see if the “pattern” still holds at 250000:

2573 differ by 16

2567 differ by 32

2632 differ by 64

2571 differ by 128

So the question is; is this proven or is there anything about this. When I first noticed it, it really made be amazed and I wish to know why that pattern existed.

(I am sorry for the bad writing and if it is not well structured. I am somewhat weak in the communicative ability)

Thank you!

submitted by Nevin Manimala Nevin Manimala /u/NoicestNoice

## Brief light flash from State Trooper

As I’m getting on to the interstate today, I’m accelerating on the on ramp and merging into the right lane at 73mph in a 70. Traffic was very light, as it usually is at this time of morning. Once I’m in the right lane, I notice there’s a state trooper (NC) in the left lane, less than a car length behind me. He turned on his overhead lights (blue only) for about a half second, then turns them back off. Was this a warning, or what? I do have aftermarket exhaust on my IS350, but it’s not really that loud, so he could have heard me at high-ish RPMs, but I really wasn’t pushing it at all. Anyway, anybody experience this kind of interaction before?

submitted by Nevin Manimala Nevin Manimala /u/SP0OK5T3R

## Conspiracy of the Day: Mitsubishi is offering 10 years/100k miles on all their new cars because they know they won’t be around in the U.S. for that long

Mitsubishi’s best selling car, the CUV Outlander was first released in 2011. The Outlander brought something new to the table and sold well. Since then, the market has been flooded with CUVs and Mitsubishi has been washed away by the competition.

While Mitsubishi still has a market outside of the U.S, it’s time in the U.S. is dwindling. Moving their factory out of the U.S. to Japan was a tell tale sign, along with not so impressive sales numbers over the past few years. They’re current biggest selling points are their 0% APR financing and their more than generous 100k mile/10 year warranty.

A decade is a long time, and for a company who’s been struggling for this past decade to make it another 10 years seems very unlikely.

So my conspiracy? The 10 year warranty is a gimmick and they’re purposely being generous because they know their time in the U.S. market won’t last so long. Obviously I hope I’m wrong, as I do think the Outlander Sport is the best looking CUV on the road, but my gut feeling is telling me I’m not.

What are your thoughts? Am I crazy?

submitted by Nevin Manimala Nevin Manimala /u/DudeWheresMyTar

## PA Turnpike EZ Pass rated my car as a Class 2 vehicle….

Two hours later on my drive back it was rated as a Class 1 vehicle. Which does this matter? The class 2 toll is \$9.03 and class 1 is \$6.03.

Irony of all of this is they made this mistake with a Porsche 991. Not exactly a car that could be mistaken for one that weighs 7000-15000lbs nor was I towing anything.

Lesson of the day, keep a close eye on your EZ Pass charges, you never know what they are up to… At least you can dispute charges online. This should be a fairly easy win.

Per the PA Turnpike: https://www.paturnpike.com/toll/tollmileage.aspx

CLASSWEIGHT CLASSIFICATIONClass1Passenger VehiclesClass 2*7,001-15,000 lbs.Class 315,001- 19,000 lbs.Class 419,001-30,000 lbs.Class 530,001- 45,000 lbsClass 645,001-62,000 lbs.Class 762,001-80,000 lbs.Class 880,001-100,000 lbsClass 9100,001 lbs. & over

* Also includes any vehicle combination with more than two axles but weighing less than 7,000 lbs., except motorcycles with sidecar and/or trailer.

submitted by Nevin Manimala Nevin Manimala /u/AttilaTheStig