>>11907569Where is the th prime. The penultimate, partial sum 377 happens to be a Fibonacci number.
The first gross decimal digits of also sum to 666, a claim which invites expression as a formula. Starting at each step with (arbitrarily precise) , multiplication by the appropriate factor of ten, then subtracting a convenient-something whose floor was previously taken (to eliminate the larger digits to the left) and finally taking the floor of the whole (to eliminate the decimal part to the right) gives each digit. The formula can be expressed as follows and verified:
where a gross, 144, is itself also a Fibonacci number.