Prime After Prime

[Bobby Jacobs]

Here is a song called "Prime After Prime". It is a way to recall the first 15 prime numbers. It is sung to the tune of "Time After Time" by Cyndi Lauper.

2, 3, 5, 7, 11, and 13.
Prime after prime.
17, 19, and 23.
Prime after prime.
29, 31, and 37.
Prime after prime.
41, 43, and 47.
Prime after prime.

[rudy235]

Originally Posted by Bobby Jacobs

Here is a song called "Prime After Prime". It is a way to recall the first 15 prime numbers. It is sung to the tune of "Time After Time" by Cyndi Lauper.

2, 3, 5, 7, 11, and 13.
.

A character in the new Apple+ TV series Foundation a young character named Gaal Dornick recites primes to regain composure and achieve inner peace..

She goes like this. 819,250,973 ... 819,250,997 ... 819,251,011 ...

A couple of minutes or so she goes. 819,751,043 ... 819,751,061 ... 819,751,099 ...


Yes, I checked. They are indeed consecutive primes....

[Jan135]

That is the information I never needed to know, but I appreciate it now that I know it.

[kriesel]

Originally Posted by rudy235

Yes, I checked. They are indeed consecutive primes....

https://www.mersenne.org/report_expo...9251011&full=1
https://www.mersenne.org/report_expo...9751099&full=1
The first four corresponding Mersennes have known factors; the last two are NF to 73 bits each.
Overall that's consistent with finding factors for ~2/3 as usual.

[kriesel]

Originally Posted by kriesel

https://www.mersenne.org/report_expo...9251011&full=1
https://www.mersenne.org/report_expo...9751099&full=1
The first four corresponding Mersennes have known factors; the last two are NF to 73 bits each.

M819751061 and M819751061 now TF NF to 84 bits, and P-1 NF to sufficient bounds.

[kriesel]

Aack!

Originally Posted by kriesel

M819751061 and M819751099 now TF NF to 84 bits, and P-1 NF to sufficient bounds.

[Bobby Jacobs]

Is anybody going to comment about the song?

[rudy235]

I think not.

[Batalov]

A piece of string walks into a bar...
...
The bartender says, "Oi, aren't you that piece of string from before...?"
"No," says the piece of string, ...

I'm a frayed knot.

[kriesel]

Originally Posted by Bobby Jacobs

It is a way to recall the first 15 prime numbers.

Compare. Syllable counts per line are:
in post 1 lyrics
11
4
9 (sev en teen nine teen and twen ty three)
4
11
4
11
4

In Lauper's refrain https://www.azlyrics.com/lyrics/cynd...aftertime.html
11
4
11
4
11
4
11
4

I don't see a mnemonic benefit, nor the need for one. (Do the digits map to the musical notes somehow?) Mentally sieving such small values is fast and more reliable than memorization.

[rudy235]

If you want to create a song (even if it is Girl You know it’s True by Mili Vanilli) that serves as a mnemonic for the first 15 mersenne exponents be my guest. Check https://oeis.org/A000043

For the first 15 primes. (known since the at least the 7th century BC) I suggest this.

number 2
plus the next 14 odd numbers that
are not divided by 3 and/or 5 https://oeis.org/A000040