Finding 2-digit Friedman Numbers
There usually are fewer 2-digit Friedman numbers than 3-digit and more in any given base, but the 2-digit ones are easier to find. If we represent a 2-digit number as mb + n, where b is the base and m, n are integers from 0 to b−1, we need only check each possible combination of m and n against the equalities mb + n = mn, and mb + n = nm to see which ones are true. We need not concern ourselves with m + n or m × n, since these will always be smaller than mb + n when n < b. The same clearly holds for m − n and m/n.
Read more about this topic: Friedman Number
Famous quotes containing the words finding, friedman and/or numbers:
“To have no son, no wife,
No house or land still seemed quite natural.
Only a numbness registered the shock
Of finding out how much had gone of life,
How widely from the others.”
—Philip Larkin (1922–1986)
“The mystery form is like gymnastic equipment: you can grasp hold of it and show off what you can do.”
—Mickey Friedman (b. 1944)
“And when all bodies meet
In Lethe to be drowned,
Then only numbers sweet
With endless life are crowned.”
—Robert Herrick (1591–1674)