Descartes number
In number theory, a Descartes number is an odd number which would have been an odd perfect number, if one of its composite factors were prime. They are named after René Descartes who observed that the number D = 32⋅72⋅112⋅132⋅22021 = (3⋅1001)2⋅(22⋅1001 − 1) = 198585576189 would be an odd perfect number if only 22021 were a prime number, since the sum-of-divisors function for D would satisfy, if 22021 were prime, where we ignore the fact that 22021 is composite (22021 = 192⋅61).
Wikipage disambiguates
Link from a Wikipage to another Wikipage
primaryTopic
Descartes number
In number theory, a Descartes number is an odd number which would have been an odd perfect number, if one of its composite factors were prime. They are named after René Descartes who observed that the number D = 32⋅72⋅112⋅132⋅22021 = (3⋅1001)2⋅(22⋅1001 − 1) = 198585576189 would be an odd perfect number if only 22021 were a prime number, since the sum-of-divisors function for D would satisfy, if 22021 were prime, where we ignore the fact that 22021 is composite (22021 = 192⋅61).
has abstract
In number theory, a Descartes ...... ould be an odd perfect number.
@en
Link from a Wikipage to an external page
Wikipage page ID
40,093,498
page length (characters) of wiki page
Wikipage revision ID
931,454,139
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
comment
In number theory, a Descartes ...... is composite (22021 = 192⋅61).
@en
label
Descartes number
@en