"(a + b) \times (a - b) = a^2 - b^2...The difference of two square numbers is always a product, and divisible both by the sum and by the difference of the roots of those two squares; consequently the difference of two squares can never be a prime number."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Revision History
No revisions have been submitted for this quote.
Categories
Prime number
28 quotes on TrueQuotesView all quotes by Prime number →
Related Quotes
"Fermat's Last Theorem is to the effect that no integral values of x, y, z can be found to satisfy the equation xn+yn=…"
"Prime numbers belong to the exclusive world of intellectual conceptions. We speak of those marvelous notions that enj…"
"In... 1859 Bernhard Riemann... presented a paper to the [Berlin] Academy... "On the Number of Prime Numbers Less Than…"
"A prime number is one (which is) measured by a unit alone. Πρῶτος ἀριθμός ἐστιν ὁ μονάδι μόνῃ μετρούμενος."
"Leonhard Euler stated that mathematicians have tried in vain to this day to discover some order in the sequence of pr…"
"And this proposition is generally true for all progressions and for all prime numbers; the proof of which I would sen…"
"The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime facto…"
"Hodge cohomology, algebraic de Rham cohomology, crystalline cohomology, the étale ℓ-adic cohomology theories for each…"
"It has the very commendable aim of contributing towards stressing the cultural side of mathematics. ...there appears …"
"In the tenth book Euclid deals with certain irrational magnitudes; and since the Greeks possessed no symbolism for su…"