Feynman point

The Feynman point is a sequence of six 9s that begins at the 762nd decimal place of the decimal representation of π. It is named after physicist Richard Feynman, who once stated during a lecture he would like to memorize the digits of π until that point, so he could recite them and quip “nine nine nine nine nine nine and so on”, suggesting, in a tongue-in-cheek manner, that π is rational
http://en.wikipedia.org/wiki/Feynman_point

Pi

3.1415926535   8979323846   2643383279   5028841971   6939937510   5820974944   5923078164   0628620899   8628034825   3421170679   8214808651   3282306647   0938446095   5058223172   5359408128   4811174502   8410270193   8521105559   6446229489   5493038196   4428810975   6659334461   2847564823   3786783165  
2712019091   4564856692   3460348610   4543266482   1339360726   0249141273   7245870066   0631558817   4881520920   9628292540   9171536436   7892590360   0113305305   4882046652   1384146951   9415116094   3305727036   5759591953   0921861173   8193261179   3105118548   0744623799   6274956735   1885752724  
8912279381   8301194912   9833673362   4406566430   8602139494   6395224737   1907021798   6094370277   0539217176   2931767523   8467481846   7669405132   0005681271   4526356082   7785771342   7577896091   7363717872   1468440901   2249534301   4654958537   1050792279   6892589235   4201995611   2129021960  
8640344181   5981362977   4771309960   5187072113   4999999837

 
(A)   111,   555,   000   or where a digit repeats three times consecutively before the Feynman point.
 
(B)   The number 999 repeats twice consecutively in 999999.
So do the numbers 209, 305   repeat twice consecutively before the Feynman point.
 
(C)   The two 5-digits numbers   23846, 60943   appear twice in different places before the Feynman point.
 
(D)   In one of the first 7 blocks of 100 digits, there is a 5-digit number ABCDE where ABCDE, ABCD, and BCDE all appear in different places in the same block.

Here’s the block of 100 digits & the 5-digit number ABCDE:

ABCDE is 56482

The Block is: the third block

44288109756659334461284756482337867831652712019091
45648566923460348610454326648213393607260249141273
 
(E)   There’s a number of the form   AABBAB   before the Feynman point where   A ≠ B.

The number is   006606

 
(F)   There’s a 6-digit number   ABCDEF   where   ABCDEF   and   ABCDDEF   both appear at different places before the Feynman point.

ABCDEF is 502841

3. 14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679
82148086513282306647093844609550582231725359408128
4811174502841027…..

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About benvitalis

math grad - Interest: Number theory
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