# Pronic vs Pionic - What's the difference?

pronic | pionic |

## As adjectives the difference between pronic and pionic

is that pronic is (mathematics) of a number which is the product of two consecutive integers while pionic is (physics) of, pertaining to, or composed of pions.

# pronic

## English

(-)
• (mathematics) Of a number which is the product of two consecutive integers
• *1478 - Pierpaolo Muscharello, Algorismus'' p.163.Jens Høyrup, "What did the abbacus teachers aim at when they (sometimes) ended up doing mathematics?", ''New perspectives on mathematical practices , pp.47-75, World Scientific, 2009 ISBN 9812812229.
• *:Pronic' root is as if you say, 9 times 9 makes 81. And now take the root of 9, which is 3, and this 3 is added above 81: it makes 84, so that the ' pronic root of 84 is said to be 3.
• *1794 - David Wilkie, Theory of interest , p.6, Edinburgh: Peter Hill, 1794.
• *:When a'' = 2, and ''d'' = 2 also, in this case, in equation 1st, ''s''=''n''2 + ''n'' = ''a'' pronic''' number, which is produced by the addition of even numbers in an arithmetic progression beginning at 2; and the ' pronic root $n = \frac \left\{\sqrt \left\{4s +1\right\} - 1\right\}\left\{2\right\}$.
• *1804' - Paul Deighan, "Recommendatory letters", ''A complete treatise on arithmetic, rational and practical'', ' vol.1 , p.viii, Dublin: J. Jones, 1804.
• *:As I admire each proposition fair,
• *:the pronic number and the perfect square,
• *:the puzzling intricate equation solv'd,
• *:as Grecia's chief the Gordian knot dissolv'd;
• *:: - John Bartley
• *1814 - Charles Butler, Easy Introduction to Mathematics , p.96, Barlett & Newman, 1814
• *:A pronic' number is that which is equal to the sum of a square number and its root. Thus, 6, 12, 20, 30, &c. are ' pronic numbers.
• *1998 - Wayne L. McDaniel, "Pronic Lucas Numbers", The Fibonacci Quarterly , pp.60-62, 1998.
• *:It may be noted that if L''n is a pronic number, then ''L n is two times a triangular number.
• *2005' - G. K. Panda1 and P. K. Ray, "Cobalancing numbers and cobalancers", ''International Journal of Mathematics and Mathematical Sciences'', ' vol.2005 , iss.8, pp.1189-1200.
• *:Thus, our search for cobalancing number is confined to the pronic' triangular numbers, that is, triangular numbers that are also ' pronic numbers.
• #### Synonyms

* heteromecic