/*参见http://oeis.org/A146544*/#包括#包括#包括#包括#包括#包括无符号长*sols=NULL;int nsols=0;/*素数<2745*/无符号长素数[] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 0};#定义MAX_FACTORS 100#定义MAX_DIVISORS 1000静态intget_factors(无符号长*因子,int*指数,无符号长N){无符号长p;整数i,n=0;对于(i=0;;i++){p=素数[i];如果(p==0||p*p>N)断裂;如果((N%p)==0){断言(n<MAX_FACTORS);因子[n]=p;指数[n]=0;而(N%p)==0){指数[n]++;N/=p;}n++;}}如果(N>1)/*N是素数*/{断言(n<MAX_FACTORS);因子[n]=n;指数[n++]=1;}返回n;}/*n是因子数*/静态intget_divisors(无符号长*除数,无符号长N){整数n,d,i,e,j,k;无符号长p;无符号长因子[MAX_factors];int指数[MAX_FACTORS];n=get_factors(因子、指数,n);/*从1开始*/除数[0]=1;d=1;对于(i=0;i<n;i++){p=系数[i];e=指数[i];断言((e+1)*d<MAX_DIVISORS);对于(j=1;j<=e;j++)对于(k=0;k<d;k++)除数[j*d+k]=除数[(j-1)*d+k]*p;d=d*(e+1);}返回d;}静态无符号长gcd(无符号长a,无符号长b){无符号长r;而(b>0){r=a%b;a=b;b=r;}返回a;}静态空隙foo(无符号长N){无符号长除数[MAX_divisors];无符号长除数_d[MAX_divisors];整数n,i,j,k,l,m;静态int maxd=0;无符号长s,smin,r;长d;无符号长*T_r=NULL,*T_s=NULL;mpz_t*t_S=空;int T_len=0;n=get_divisors(除数,n);如果(n<6)回报;smin=(无符号长)ceil(pow((双精度)(N+1),1.0/3.0));对于(i=0;i<n;i++)对于(j=i+1;j<n;j++){d=(长)除数[j]-(长)除数[i];如果(d<0)d=-d;m=获得除数(除数d,d);对于(k=0;k<m;k++){s=除数d[k];如果(s<smin)继续;r=除数[i]%s;断言((除数[j]%s)==r);if(gcd(r,s)!=1)继续;对于(l=0;l<T_len;l++)if(T_s[l]==s&&T_r[l]==r)断裂;如果(l==T_len){T_s=realloc(T_s,(l+1)*sizeof(unsigned long));T_s[l]=s;T_r=重新分配(T_r,(l+1)*sizeof(unsigned long));T_ r[l]=r;T_S=实际值(T_S,(l+1)*大小(mpz_T));mpz_init(T_S[l]);T_ len++;}mpz设置位(T_S[l],i);mpz设置位(T_S[l],j);}}/*寻找解决方案*/对于(l=0;l<T_len;l++){如果(mpz_popcount(T_S[l])>=6)#pragma omp关键{打印(“N=%lu r=%lus=%lu%lu\N”,N,T_r[l],T_s[l]、mpz_popcount(T_s[l]));对于(i=0;i<nsols;i++)if(sols[i]==N)断裂;如果(i==nsols)/*新解决方案*/{sols=realloc(sols,(i+1)*sizeof(unsigned long));sols[nsols++]=N;}}}对于(l=0;l<T_len;l++)mpz_clear(T_S[l]);自由(T_s);自由(T_r);自由(T_S);}整数main(int argc,char*argv[]){无符号长maxN,N;整数i;断言(argc==2);maxN=strtoul(argv[1],NULL,10);#计划的pragma omp并行(动态)对于(N=1;N<=最大N;N++)foo(N);printf(“找到%d个解决方案<=%lu:”,nsols,maxN);对于(i=0;i<nsols;i++)printf(“%lu”,sols[i]);printf(“\n”);游离(溶胶);返回0;}