list of prime numbers

As of 2018[update], there are 51 known Mersenne primes. − × For example: The prime number was discovered by Eratosthenes (275-194 B.C., Greece). Please access Premium version here, 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. 11p − 1 ≡ 1 (mod p2): 71[20] The primes of the form 3×2n + 1 are related. Of the form 2u3v + 1 for some integers u,v ≥ 0. 1 A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself. 2, 3, 5, 7, 23, 29, 31, 37, 53, 59, 71, 73, 79, 233, 239, 293, 311, 313, 317, 373, 379, 593, 599, 719, 733, 739, 797, 2333, 2339, 2393, 2399, 2939, 3119, 3137, 3733, 3739, 3793, 3797 (OEIS: A024770). Prime numbers are the positive integers having only two factors, 1 and the integer itself. 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Let us write the given number in the form of 6n ± 1. Prime Number List. 10 Subsets of the prime numbers may be generated with various formulas for primes. 1 - 999,999 1,000,000 - 1,999,999 2,000,000 - 2,999,999 3,000,000 - 3,999,999 4,000,000 - 4,999,999 5,000,000 - 5,999,999 For instructions on how to disable your ad blocker, click here. Before calculators and computers, numerical tables are used for recording all of the primes or prime factorizations up to a specified limit and are usually printed. Write a program to generate a list of all prime numbers less than 20. {\displaystyle \left({\frac {p}{5}}\right)} All Mersenne primes are, by definition, members of this sequence. Primes that are a cototient more often than any integer below it except 1. First 100 primes have values between 2 and 541. Ln = Ln−1 + Ln−2. Primes p for base 10: 7, 17, 19, 23, 29, 47, 59, 61, 97, 109, 113, 131, 149, 167, 179, 181, 193, 223, 229, 233, 257, 263, 269, 313, 337, 367, 379, 383, 389, 419, 433, 461, 487, 491, 499, 503, 509, 541, 571, 577, 593 (OEIS: A001913). Primes p such that neither p − 2 nor p + 2 is prime. 3, 5, 7, 31, 53, 97, 211, 233, 277, 367, 389, 457, 479, 547, 569, 613, 659, 727, 839, 883, 929, 1021, 1087, 1109, 1223, 1289, 1447, 1559, 1627, 1693, 1783, 1873 (OEIS: A006378), (5, 11), (7, 13), (11, 17), (13, 19), (17, 23), (23, 29), (31, 37), (37, 43), (41, 47), (47, 53), (53, 59), (61, 67), (67, 73), (73, 79), (83, 89), (97, 103), (101, 107), (103, 109), (107, 113), (131, 137), (151, 157), (157, 163), (167, 173), (173, 179), (191, 197), (193, 199) (OEIS: A023201, OEIS: A046117). 2, 3, 5, 7, 17, 29, 277, 367, 853, 14197, 43721, 1442968193, 792606555396977, 187278659180417234321, 66241160488780141071579864797 (OEIS: A074788). They are also called full reptend primes. Prime numbers: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The first 1000 primes are listed below, followed by lists of notable types of prime numbers in alphabetical order, giving their respective first terms. Pn = 2Pn−1 + Pn−2. To be prime, a number must be divisible only by 1 and the number itself which is fulfilled by the number 2.