The first four perfect numbers: divisor portraits
Euclid–Euler theorem: even perfect numbers ↔ Mersenne primes
n is even perfect ⟺ n = 2^(p−1) · (2^p − 1)
where 2^p − 1 is a Mersenne prime
Euclid proved the → direction. Euler proved ← . All 51 known perfect numbers are even and come from this formula. Whether odd perfect numbers exist is unknown.
Perfect numbers on a log scale: they grow faster than exponentially
Values shown as log10. Even on a log scale each jump is dramatically larger. The 51st perfect number has over 49 million digits.
Digunakan dalam
Matematika
✓
Fisika
–
Teknik
–
Biologi
–
Ilmu Komputer
✓
Statistika
–
Keuangan
–
Seni
–
Arsitektur
–
Musik
–
Kriptografi
–
Astronomi
–
Kimia
–
Filsafat
✓
Geografi
–
Ekologi
–
Ingin menguji pengetahuan Anda?
Pertanyaan
Apa rumus untuk bilangan sempurna genap?
ketuk · spasi
1 / 10
Siap bermain?
Pi
Memorize pi, e, and 40+ mathematical constants using the numpad path method
Main sekarang - gratisTanpa akun. Bisa di perangkat apa saja.
Topic roundups
