More Fun with Cyclops Numbers

UPDATED:
Added Details and Links


I created a fun function to compute Cyclops Numbers, see previous post.

D=9; C=0; L=27; 

echo "obase=${D}+1;(${D}+1)^(2*${L}-1) -1 -(${D}-(${C}%${D}))*(${D}+1)^(${L}-1)" | bc

Where:

• D = Is the side Digits, 1 to 9
• C = Is the single Cyclops Eye Digit, must be < D, or C mod D will be used
• L = The Cyclops Eye Location (width)

D=8; C=3; L=2; => 838
D=8; C=3; L=3; => 88388
D=8; C=3; L=4; => 8883888
D=4; C=8; L=5; => 444484444
D=9; C=0; L=6; => 99999099999

The results for the above function:

99999999999999999999999999099999999999999999999999999

It is all fun and games, until someone pokes the Cyclops Eye   :-)


-- Home Page: https://WA0UWH.blogspot.com

Large Numbers

UPDATED:
Added Details and LInks

As noted in previous posts, I am a fan of Large Numbers, I am especially interested in small functions that compute Large Numbers.

Recently I watched a Numberphile Youtube video, which captivated my interest. The numbers that I found most interesting are large "Cyclops Numbers".

The following Linux function will compute a large Cyclops:

echo "10^(2*253-1) -1 -9*10^(253-1)" | bc

Can you spot the Cyclops Eye?


99999999999999999999999999999999999999999999999999999999999999999999\
99999999999999999999999999999999999999999999999999999999999999999999\
99999999999999999999999999999999999999999999999999999999999999999999\
99999999999999999999999999999999999999999999999909999999999999999999\
99999999999999999999999999999999999999999999999999999999999999999999\
99999999999999999999999999999999999999999999999999999999999999999999\
99999999999999999999999999999999999999999999999999999999999999999999\
99999999999999999999999999999


-- Home Page: https://WA0UWH.blogspot.com