Algorithm.
), 11, 101, 181, 619, 16091, 18181, 19861, 61819, 116911, 119611, 160091, 169691, 191161, 196961, 686989, 688889 (sequence A007597 in the OEIS). Checkout list of first: 10, 50 restricted right-truncatable primes. Checkout sexy prime quadrupletss up to: 100, 500, 1000, 10000. 23p − 1 ≡ 1 (mod p2): 13, 2481757, 13703077, 15546404183, 2549536629329 (OEIS: A128669) 11p − 1 ≡ 1 (mod p2): 71[20]
For example: Numbers belonging to highest number of classes are: 7: 37, 5: 36, 11: 36, 17: 36, 13: 32, 23: 30, 3: 29, 2: 26, 47: 21, 97: 20, 113: 20, 107: 19, 109: 19, 19: 18, 31: 18, 37: 18, 41: 18, 53: 18, 101: 18, 193: 18, 1487: 18, 19421: 18, 67: 17, 73: 17, 1873: 17, 19427: 17, 43781: 17, 43787: 17, 191: 16, 257: 16, 5653: 16, 12113: 16, 16063: 16, 21017: 16, 43789: 16, 195737: 16, 661097: 16, 313: 15, 647: 15, 15733: 15, 16061: 15, 19423: 15, 32057: 15, 43783: 15, 55337: 15, 88813: 15, 101113: 15, 144167: 15, 165707: 15, 166847: 15, Additive prime, Bell prime, Carol prime, Centered decagonal prime, Centered heptagonal prime, Centered square prime, Centered triangular prime, Chen prime, Class 1+ prime, Cousin prime, Cuban prime 1, Cuban prime 2, Cullen prime, Dihedral prime, Double mersenne prime, Emirps, Euclid prime, Factorial prime, Fermat prime, Fibonacci prime, Genocchi prime, Good prime, Happy prime, Harmonic prime, Isolated prime, Kynea prime, Left-truncatable prime, Leyland prime, Long prime, Lucas prime, Lucky prime, Mersenne prime, Mills prime, Multiplicative prime, Palindromic prime, Pierpont prime, Pierpont prime of the 2nd kind, Prime, Prime quadruplet, Prime quintuplet 1, Prime quintuplet 2, Prime sextuplet, Prime triplet, Proth prime, Pythagorean prime, Quartan prime, Restricted left-truncatable prime, Restricted right-truncatable prime, Right-truncatable prime, Safe prime, Semiprime, Sexy prime, Sexy prime quadruplets, Sexy prime triplet, Solinas prime, Sophie germain prime, Super prime, Thabit prime, Thabit prime of the 2nd kind, Twin prime, Two-sided prime, Ulam prime, Wagstaff prime, Weakly prime, Wedderburn-etherington prime, Wilson prime, Woodall prime, Primes such that the sum of digits is a prime. You can also check all weakly primes.
The code below runs the code for each approach 10000 times and outputs the overall time it took in seconds.
You can also check all restricted right-truncatable primes.
Checkout sophie germain primes up to: 100, 500, 1000, 10000. Primes that are also Wedderburn–Etherington numbers. 10n+1: 11, 31, 41, 61, 71, 101, 131, 151, 181, 191, 211, 241, 251, 271, 281 (OEIS: A030430) Here is a free preview video.
You can also check all kynea primes.
Long prime in base b is a prime number p such that the formula (b^(p-1)-1)/p (where p does not divide b) gives a cyclic number. y Learn more about Prime triplets, First 20: {5, 7, 11}, {7, 11, 13}, {11, 13, 17}, {13, 17, 19}, {17, 19, 23}, {37, 41, 43}, {41, 43, 47}, {67, 71, 73}, {97, 101, 103}, {101, 103, 107}, {103, 107, 109}, {107, 109, 113}, {191, 193, 197}, {193, 197, 199}, {223, 227, 229}, {227, 229, 233}, {277, 281, 283}, {307, 311, 313}, {311, 313, 317}, {347, 349, 353}.
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