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...vely prime means that they do not have common divisors, other than 1. Such numbers are named after [[Robert Daniel Carmichael|Robert Carmichael]]. ...umbers are composite numbers that behave a little bit like they would be a prime number. ...

...ics]], a '''Mersenne number''' is a number that is one less than a ''power of two''. ...ns prefer the definition of a Mersenne number where exponent ''n'' to be a prime number. ...

...satisfies a result proven by [[Srinivasa Ramanujan]]. It relates to the [[prime counting function]]. In 1919, Ramanujan published a new proof of [[Bertrand's postulate]] (which had already been proven by [[Pafnuty Chebys ...

...mat number''' is a special [[positive number|positive]] [[number]]. Fermat numbers are named after [[Pierre de Fermat]]. The formula that generates them is where ''n'' is a nonnegative [[integer]]. The first nine Fermat numbers are {{OEIS|id=A000215}}: ...

A '''superabundant number''' is a type of [[natural number]]. They were [[Definition|defined]] by Leonidas Alaoglu an ...] of every [[Positive number|positive]] [[Division (mathematics)|divisor]] of that number. ...

...'' is a special kind of [[prime number]]. A prime number ''p'' is a Wilson prime if (and only if [ <math>\iff</math> ]) ...involving Bernoulli numbers and the quotients of Fermat and Wilson], Ann. of. Math. '''39'''(1938), 350-360.</ref> ...

...pt for the rectangle with sides of lengths for 11 and 1. 11 is therefore a prime number.]] ...imes the number itself, so those two numbers are two of its divisors. A '''prime number''' is a number with ''only'' two divisors: one and itself.<ref name= ...

'''Highly abundant numbers''' are a type of [[natural number]]. Any [[natural number]] ''n'' is called highly abundant ...] of every [[Positive number|positive]] [[Division (mathematics)|divisor]] of that number. ...

:''For the second operand of a division, see [[division (mathematics)]].'' ...=Divisor|archive-url=|archive-date=|access-date=September 20, 2020|website=Prime Glossary}}</ref> ...

[[File:Prime_powers_in_SHCN,_CAN.svg|right|thumb|Prime-power factors]] ...[[sum]] of every [[divisor]] that the number has.<ref>K. Briggs, "Abundant Numbers and the Riemann Hypothesis", ''Experimental Mathematics'' 15:2 (2006), pp. ...

...t number” (repeated unit) to represent monodigit numbers consisting solely of the digit 1.<ref>{{Harvnb|Beiler|2013|pp=83}}</ref></blockquote>}}<!--- Ori ...ber]]. Primes that are repunits in [[Binary number|base-2]] are [[Mersenne prime|Mersenne primes]]. ...

...s called a '''perfect number''' if by adding all the positive [[divisor]]s of the number (except itself), the result is the number itself. ...one, two, and three and one plus two plus three equals six. Other perfect numbers include 28, 496 and 8128. ...

A '''highly composite number''' in math (also called ''anti-prime'') is a [[real number]] with more [[divisor]]s than any [[real number]] sma ...an | first1=S. | author1-link=Srinivasa Ramanujan | title=Highly composite numbers | jfm=45.1248.01 | doi=10.1112/plms/s2_14.1.347 | journal=Proc. London Math ...

...the set definition of Georg Cantor.png|thumb|Cantor's original definition of a set]] [[File:Example of a set.svg|thumb|Example of a set of polygons]] ...

...ount of numbers. Only [[Wikipedia:Notable|notable]] numbers will be added. Numbers can be added as long as they are popular in [[math]], [[history]] or [[cult ...t numbers can only be [[Wikipedia:Notable|notable]] if they are a big part of [[history]]. A number isn't [[Wikipedia:Notable|notable]] if it is only rel ...

...every term of the series is the [[harmonic mean]] of the terms either side of it. The phrase ''harmonic mean'' also comes from music. ...ns-title=New arithmetic quadrature (i.e., integration), or On the addition of fractions|location=Bologna|publisher=Giacomo Monti|date=1650|chapter-url=ht ...