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point.The remarkable repetition at digit #763 is called the Feynman
The Feynman point refers to the sequence of six consecutive
nines (999999) that appears in the decimal expansion of pi (π), starting
at the 762nd digit after the decimal point. This point is notable
because such a long run of identical digits is statistically rare so
early in the sequence, leading to its fame as a mathematical curiosity.
On Sun, 22 Jun 2025 19:15:32 +0000, HenHanna wrote:
The Feynman point refers to the sequence of six consecutive
nines (999999) that appears in the decimal expansion of pi (π), starting
at the 762nd digit after the decimal point. This point is notable
because such a long run of identical digits is statistically rare so
early in the sequence, leading to its fame as a mathematical curiosity.
I didn't immediately see anything surprising about the six consecutive
nines, but I've thought about it...
If the following isn't right, could you put me straight?
With a number system including ten single-digit integers, zero to nine,
for a base ten number system, if the sequence of numbers is random
(which
pi isn't),
then there is a one in ten probability that any given digit
will be followed by the same digit. There is a nine tenths probability
that the subsequent digit will be different. The probability of three identical digits is one in ten multiplied by by one in ten, or a
probability of one in one hundred of three identical digits following
each
other. If the sequence of identical digits is n digits long, then the probability of it happening in a random sequence of digits is one in 10^(n-1).
So, the probability of six nines occurring together, in a random
sequence,
would be one in one hundred thousand. If 999999 occurs after the 762nd
digit after the decimal point of pi, I now recognize that is surprising.
Thanks I feel better for that.
So, the probability of six nines occurring together, in a random sequence, >would be one in one hundred thousand. If 999999 occurs after the 762nd
digit after the decimal point of pi, I now recognize that is surprising.
The name honors physicist Richard Feynman, who is said to have joked about memorizing pi up to that point and then mischievously
claiming pi is rational by reciting the six nines and saying "and so
on". However, there is no clear record of Feynman actually making this
remark in a lecture, and the story has become part of mathematical
folklore.
Really? i thought Pi was random.
Really? i thought Pi was random.
In article <1f87e271f28067836cabd2199a7ea473@www.novabbs.com>,
HenHanna <HenHanna@dev.null> wrote:
Really? i thought Pi was random.
What would it mean for a number to be random?
On Sun, 22 Jun 2025 19:15:32 +0000, HenHanna wrote:
The name honors physicist Richard Feynman, who is said to have
joked about memorizing pi up to that point and then mischievously
claiming pi is rational by reciting the six nines and saying "and so
on". However, there is no clear record of Feynman actually making this
remark in a lecture, and the story has become part of mathematical
folklore.
Chat GPT kindly wrote a short poem to help me remember the first ten
digits of pi.
Counting All Digits,
Aiming Every Intention,
Boldly Facing Every Dream.
Can anyone do better?
On 6/24/2025 12:32 AM, David Entwistle wrote:
On Sun, 22 Jun 2025 19:15:32 +0000, HenHanna wrote:I'm impressed that the ChatGPI understood what you wanted (A=1, B=2, C=3, etc.).
áááááááááá The name honors physicist Richard Feynman, who is said to have >>> joked about memorizing pi up to that point and then mischievously
claiming pi is rational by reciting the six nines and saying "and so
on". However, there is no clear record of Feynman actually making this
remark in a lecture, and the story has become part of mathematical
folklore.
Chat GPT kindly wrote a short poem to help me remember the first ten
digits of pi.
Counting All Digits,
Aiming Every Intention,
Boldly Facing Every Dream.
Can anyone do better?
In 1998 I posted the following to the rec.puzzles newsgroup.á It used the letters in each word for
digits of pi:
=====
Hey!á I made a short paragraph to assist those who often memorize something through mnemonics. Try
to add comments.á When making it longer, make all the comments fit my pattern.
3.14159265358979323846264338327941971693993751...
3.14159265358979323846264338327941971693993751...3.14159265358979323846264338327950288419716939...
3.14159 26535 89793 23846 26433 83279 41971 69399 3751...3.14159 26535 89793 23846 26433 83279 50288 41971 6939...
Oh, who decides?
3.14159 26535 89793 23846 26433 83279 41971 69399 3751...3.14159 26535 89793 23846 26433 83279 50288 41971 6939...
(reformatted)
Presumably the first was copied from a listing in groups of 5 digits,
and one group was missed out.
On Thu, 26 Jun 2025 19:50:14 -0000 (UTC), Richard Tobin wrote:
3.14159 26535 89793 23846 26433 83279 41971 69399 3751...3.14159 26535 89793 23846 26433 83279 50288 41971 6939...
(reformatted)
Presumably the first was copied from a listing in groups of 5 digits,
and one group was missed out.
Ah yes, thanks.
The omission of the five digit sequence avoids the problem of the zero in
the thirty-second decimal place of Pi. That would be frustrating after
you'd managed to get that far matching words of equal length to the
digits.
I have the same problem with my allocation of A to 1, etc. Looks like I
need a re-think for a memory aid..
I likely left out the 5-digit block with the zero due to a cut-and-paste error. I know that I didn't enter the digits from memory. I had only memorized about 10 digits (the number of digits in a 1970s pocket calculator).
When first posted in 1998, it was suggested that a 10-letter word could
be used for zero.
A substantial proportion of the population are capable of learning the necessary maths and writing a program to determine which is correct. A
much smaller proportion are sufficiently motivated to do so.