def cumsum(x,d=1):
    for i in range(d,len(x)):
        x[i]+=x[i-d]

N,P=map(int,input().split())
ans=0
f=[0,0]
fact=1
for i in range(2,N+1):
    f.append((pow(N,N-i,P)*fact)%P)
    fact*=N-i
    fact%=P
dist=[0]*N
cum=0
pat=0
for i in range(N-2,0,-1):
    cum+=f[i+2]
    pat+=cum
    cum%=P
    pat%=P
    dist[i]=pat
backet=100
pats=[0]*N*2
det=[[0]*N*2 for i in range(backet+1)]
for i in range(1,N+1):
    for j in range(N+1):
        if i*j>=N:
            break
        if j==0:
            pats[1]+=N-i+1
            pats[i*(j+1)]-=N-i+1
            continue
        if j>backet:
            cnt=0
            for k in range(i*j+1,i*(j+1),j):
                pats[k]+=1
                cnt+=1
            pats[i*(j+1)]-=cnt
        else:
            det[j][i*j+1]+=1
            cnt=(i*(j+1)-2)//j-i+1
            det[j][min(N*2-1,i*j+1+cnt*j)]-=1
            pats[i*(j+1)]-=cnt
for i in range(1,backet+1):
    cumsum(det[i],i)
    for j in range(N*2):
        pats[j]+=det[i][j]
cumsum(pats)
for i in range(N-1):
    pats[i]=N*(N+1)//2-pats[i]
    ans+=pats[i]*dist[i]
    ans%=P
cumsum(f)
div=[[] for i in range(N+1)]
cum=[[0] for i in range(N+1)]
for i in range(1,N+1):
    for j in range(i,N+1,i):
        div[j].append(i)
        cum[i].append(cum[i][-1]+f[j])
for i in range(1,N+1):
    gcd=[0]*len(div[i])
    for j in range(len(div[i])-1,-1,-1):
        gcd[j]+=N//div[i][j]
        for k in range(j):
            if div[i][j]%div[i][k]==0:
                gcd[k]-=gcd[j]
        pl=cum[div[i][j]][-1]-cum[div[i][j]][i//div[i][j]]
        plcnt=len(cum[div[i][j]])-1-i//div[i][j]
        mi=cum[div[i][j]][-1]-cum[div[i][j]][i//div[i][j]-1]+f[i-1]*(i//div[i][j]-1)
        micnt=plcnt+1+i//div[i][j]-1
        ans+=(pl+f[-1]*(micnt-plcnt)-mi)*gcd[j]
        if j==0:
            ans+=(pl+f[-1]*(micnt-plcnt)-mi)*N*(N-1)//2
        ans%=P
print((ans*N*(N-1))%P)