Tests For Pentagonal Numbers
The simplest way to test whether a positive integer x is a (non-generalized) pentagonal number is by computing
If n is a natural number, then x is the nth pentagonal number. If n is not a natural number, then x is not pentagonal.
Read more about this topic: Pentagonal Number
Famous quotes containing the words tests and/or numbers:
“It is not the literal past that rules us, save, possibly, in a biological sense. It is images of the past.... Each new historical era mirrors itself in the picture and active mythology of its past or of a past borrowed from other cultures. It tests its sense of identity, of regress or new achievement against that past.”
—George Steiner (b. 1929)
“All experience teaches that, whenever there is a great national establishment, employing large numbers of officials, the public must be reconciled to support many incompetent men; for such is the favoritism and nepotism always prevailing in the purlieus of these establishments, that some incompetent persons are always admitted, to the exclusion of many of the worthy.”
—Herman Melville (1819–1891)