有关完全数的问题,共有40个完全数,请问都有哪些?能写多少写多少,不用怕不美观啊.
2个回答

目前一共找到47个完全数.

列举如下:

(2^2-1)*2^1

(2^3-1)*2^2

(2^5-1)*2^4

(2^7-1)*2^6

(2^13-1)*2^12

(2^17-1)*2^16

(2^19-1)*2^18

(2^31-1)*2^30

(2^61-1)*2^60

(2^89-1)*2^88

(2^107-1)*2^106

(2^127-1)*2^126

(2^521-1)*2^520

(2^607-1)*2^606

(2^1279-1)*2^1278

(2^2203-1)*2^2202

(2^2281-1)*2^2280

(2^3217-1)*2^3216

(2^4253-1)*2^4252

(2^4423-1)*2^4422

(2^9689-1)*2^9688

(2^9941-1)*2^9940

(2^11213-1)*2^11212

(2^19937-1)*2^19936

(2^21701-1)*2^21700

(2^23209-1)*2^23208

(2^44497-1)*2^44496

(2^86243-1)*2^86242

(2^110503-1)*2^110502

(2^132049-1)*2^132048

(2^216091-1)*2^216090

(2^756839-1)*2^756838

(2^859433-1)*2^859432

(2^1257787-1)*2^1257786

(2^1398269-1)*2^1398268

(2^2976221-1)*2^2976220

(2^3021377-1)*2^3021376

(2^6972593-1)*2^6972592

(2^13466917-1)*2^13466916

(2^20996011-1)*2^20996010

(2^24036583-1)*2^24036582

(2^25964951-1)*2^25964950

(2^30402457-1)*2^30402456

(2^32582657-1)*2^32582656

(2^43112609-1)*2^43112608

(2^37156667-1)*2^37156666

(2^42643801-1)*2^42643800