Is there a power of 666 such that its decimal notation starts with the digits 123456789?
One may replace "starts" by "ends" for a much easier challenge ;-)
The first power of 666 that has the required characteristics is represented by:
--> 666^(170,299,270)
~= 1.234567890440066451144073 * 10^480,835,600
The second power of 666 that has the desired characteristics is represented by:
--> 666^(211,193,452)
~= 1.234567892751309448479852377911957 * 10^596,299,269
Edited on June 30, 2023, 7:51 am