#include using namespace std; #define ll long long int ps, p[1000000]; ll memo[] = {11078937,21336326,31324703,41146179,50847534,60454705,69985473,79451833,88862422,98222287,107540122,116818447,126062167,135270258,144449537,153600805,162725196,171827136,180906194,189961812,198996103,208013454,217011319,225991743,234954223,243902342,252834065,261751864,270655552,279545368,288422869,297285198,306137611,314977166,323804352,332620900,341426904,350221825,359006517,367783654,376549859,385307831,394055910,402793457,411523195,420243162,428958595,437663672,446362736,455052511,463733626,472408200,481074475,489736021,498388617,507036251,515673696,524309392,532936342,541555851,550170437,558778993,567382703,575978253,584570200,593155089,601735269,610308664,618878615,627440336,635997249,644550922,653099304,661643304,670180516,678714823,687242934,695766925,704286233,712799821,721310048,729813991,738315156,746813071,755305935,763794029,772276773,780756650,789230673,797703398,806169530,814633249,823092766,831548431,840000027,848450250,856895823,865335133,873772692,882206716}; bitset<500000> b; ll solve(ll n){ int i; ll s, k, res; if(n < 1000000){ for(i=0;i n) break; return i; } s = n / 200000000; if(s){ res = memo[s-1]; s *= 200000000; } else { res = ps; s = 1000000; } for(;;s+=1000000){ b.set(); for(i=1;;i++){ k = (ll) p[i] * p[i] - s; if(k >= 1000000) break; if(k < 0) k += ((-k+p[i]-1) / p[i]) * p[i]; if(k % 2 == 0) k += p[i]; k /= 2; while(k < 500000) b.reset(k), k += p[i]; } if(n-s < 1000000){ for(i=1;i<=n-s;i+=2) res += b[i/2]; break; } res += b.count(); } return res; } int main(){ int i, j; ll L, R; scanf("%lld%lld",&L,&R); p[2] = 1; for(i=3;i<1000000;i+=2) p[i] = 1; for(i=3;i<1000;i+=2) if(p[i]) for(j=i*i;j<1000000;j+=i) p[j] = 0; for(i=0;i<1000000;i++) if(p[i]) p[ps++] = i; printf("%lld\n", solve(2*R) - solve(2*L) + solve(R) - solve(L-1)); }