#include using namespace std; #define ll long long int ps, p[1000000]; ll memo[] = {16252325,31324703,46009215,60454705,74726528,88862422,102886526,116818447,130670192,144449537,158165829,171827136,185436625,198996103,212514323,225991743,239429993,252834065,266206294,279545368,292856421,306137611,319391721,332620900,345826612,359006517,372168766,385307831,398425675,411523195,424603409,437663672,450708777,463733626,476741968,489736021,502712575,515673696,528624525,541555851,554476170,567382703,580275482,593155089,606022680,618878615,631717982,644550922,657371139,670180516,682979568,695766925,708543557,721310048,734065508,746813071,759550004,772276773,784994469,797703398,810401956,823092766,835773764,848450250,861116918,873772692}; 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 / 300000000; if(s){ res = memo[s-1]; s *= 300000000; } 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)); }