Absolute Primes - Numberphile

Absolute Primes are also known as permutable primes and anagrammatic primes (and not yet Jumble Primes). We also discuss Circular Primes.

NUMBERPHILE

Videos by Brady Haran
Animation by Pete McPartlan

[henryginn]

Starting the video off with a number, explaining how it satisfies some property that is almost certainly uesless, and James Grime with his unbounded enthusiasm... this is the classic numberphile content I love. Animations were especially nice this time as well.

[dskinner]

The animator did such an excellent job of resuscitating my childhood memories of educational television. Sound effects are spot-on too 👍

[Cossieuk]

37 is the 12th prime and its circular prime 73 is the 21st prime

[Max]

Sort of mentioned in the video, but the 3 listed "non-boring" jumble primes are actually "boring" as well. They are of the form ABB, so their permutations are equivalent to the cycles. So there is no non-boring jumble prime.

[BrianRousseau]

My favorite thing about is that if we treat it as a binary expression and convert it to base 10, it becomes 524287... which is also prime.

[ericpeterson]

In binary, all circular primes will be repunits, because rotating a 0 to the end would give you an even number. And since repunits in binary are all of the form 2^n-1, the circular primes in binary are just the Mersenne primes

[RichardHolmesSyr]

In binary, the circular primes are the Mersenne primes (and they're all boring).

[trevinbeattie]

“Who knows? Let’s find out!” I love James’ enthusiasm.

[bigpopakap]

We've gotten James so much recently, that it almost feels normal again! Yay, still glad to have James back!

[Babbler]

The Parker "Cicular" Prime: a prime that is almost circular except for one composite form.

[sarahdaviscc]

You loved Blue's Clues but have you seen Grime's Primes?

[RichardHolmesSyr]

I checked bases 2 through 16 going up to 6 digits and found just four absolute primes that have more than two different digits (and therefore include more permutations than circular shifts): In base 11: 139 and 36a; in base 13: 247 and 78a.

Many bases have absolute primes that are longer than 3 digits and are not repunits (but are "near-repunits"): for instance 7777d base 15. But not in base 10.

[benpetersjones]

James the @singingbanana talking about primes on Numberphile is my happy place.

[samuelwoods]

He was so confident there wouldn't be a bigger absolute prime until the idea of having dinner with the nerd who finds it came up

[StephanTrube]

with 19 digits is a prime? How cool! Will try to remember that just in case, if I ever need a fairly big prime number in a life or death situation.

[friiq]

John Conway has a famous “proof” that 91 is the first composite number that looks prime.

[JMUDoc]

"... if only there was a test to see if something is divisible by seven..."
Tony Padilla: am I a joke to you!?

[TheMichaelmorad]

the animator here had a lot of fun making this video

[djsmeguk]

Writing down that number would require more than the number of particles in the universe. I think James' challenge is safe.

[RobKaiser_SQuest]

I've been watching this channel for 8-10 odd years and James Grime hasn't aged a day nor lost any of his energy. Buddy is a beaut