## 4. Augmented amicable numbers

### Search program for augmented amicable number

The definition of augmented amicable numbers is,

σ(m)=σ(n)=m+n-1

and the program can be used in trivial change,

30 N=fnSigma(M)-M-1:if N<=M then 50
40 R=fnSigma(N)-N-1:if R=M then print M,N

into

30 N=fnSigma(M)-M+1:if N<=M then 50
40 R=fnSigma(N)-N+1:if R=M then print M,N

There are **420** augmented amicable pairs which smaller number is less than 10^{10}.

E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima