list of prime numbers

14p − 1 ≡ 1 (mod p2): 29, 353, 7596952219 (OEIS: A234810) The first 1000 primes are listed below, followed by lists of notable types of prime numbers in alphabetical order, giving their respective first terms. 20p − 1 ≡ 1 (mod p2): 281, 46457, 9377747, 122959073 (OEIS: A242982) 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.

Primes in the Lucas number sequence L0 = 2, L1 = 1, Of the form k×2n + 1, with odd k and k < 2n. 9p − 1 ≡ 1 (mod p2): 2, 11, 1006003 8n+5: 5, 13, 29, 37, 53, 61, 101, 109, 149, 157, 173, 181, 197, 229, 269 (OEIS: A007521) For example: As of 2018[update], this class of prime numbers also contains the largest known prime: M82589933, the 51st known Mersenne prime. × − are the positive integers having only two factors, 1 and the integer itself. 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14741, 15451, 15551, 16061, 16361, 16561, 16661, 17471, 17971, 18181, 18481, 19391, 19891, 19991, 30103, 30203, 30403, 30703, 30803, 31013, 31513, 32323, 32423, 33533, 34543, 34843, 35053, 35153, 35353, 35753, 36263, 36563, 37273, 37573, 38083, 38183, 38783, 39293, 70207, 70507, 70607, 71317, 71917, 72227, 72727, 73037, 73237, 73637, 74047, 74747, 75557, 76367, 76667, 77377, 77477, 77977, 78487, 78787, 78887, 79397, 79697, 79997, 90709, 91019, 93139, 93239, 93739, 94049, 94349, 94649, 94849, 94949, 95959, 96269, 96469, 96769, 97379, 97579, 97879, 98389, 98689. But factors of 7 are only 1 and 7, totally two. Subsets of the prime numbers may be generated with various formulas for primes.

7, 41, 239, 9369319, 63018038201, 489133282872437279, 19175002942688032928599 (OEIS: A088165), Primes p for which the least positive primitive root is not a primitive root of p2. − < 8n+3: 3, 11, 19, 43, 59, 67, 83, 107, 131, 139, 163, 179, 211, 227, 251 (OEIS: A007520) − [2] That means 95,676,260,903,887,607 primes[3] (nearly 1017), but they were not stored. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. .

6n+5: 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, 101, 107, 113 (OEIS: A007528)

Thus, 1 is not considered a Prime number. Here is the list of prime numbers up to 100. a As of January 2020, the largest known prime number is 2^(82,589,933) – 1 a number which has 24,862,048 digits. Already subscribed? Where (p, p+2, p+6) or (p, p+4, p+6) are all prime.

{\displaystyle \left({\frac {p}{5}}\right)} 3 We know that 2 is the only even prime number. Any number which does not follow this is termed as composite numbers, which means that they can be factored into other positive integers. 2, 3, 5, 11, 23, 29, 41, 53, 83, 89, 113, 131, 173, 179, 191, 233, 239, 251, 281, 293, 359, 419, 431, 443, 491, 509, 593, 641, 653, 659, 683, 719, 743, 761, 809, 911, 953. p

10n+3: 3, 13, 23, 43, 53, 73, 83, 103, 113, 163, 173, 193, 223, 233, 263 (OEIS: A030431) p The list of primes p for which the period length of the decimal expansion of 1/p is unique (no other prime gives the same period). ( 6(4) – 1 = 23 − Twitter WP Netscaler. Primes for which there are more prime permutations of some or all the decimal digits than for any smaller number.

3 1 is neither prime nor composite. Primes p such that neither p − 2 nor p + 2 is prime. Primes containing only the decimal digit 1. 2, 3, 5, 7, 13, 17, 19, 37, 73, 97, 109, 163, 193, 257, 433, 487, 577, 769, 1153, 1297, 1459, 2593, 2917, 3457, 3889, 10369, 12289, 17497, 18433, 39367, 52489, 65537, 139969, 147457 (OEIS: A005109). 10 Primes that cannot be generated by any integer added to the sum of its decimal digits. Cuban primes of the form (x3 - y3) / (x - y), x is y + 1: Cuban primes of the form (x3 - y3) / (x - y), x is y + 2: 3, 7, 13, 31, 37, 43, 67, 73, 79, 127, 151, 163, 193, 211, 223, 241, 283, 307, 331, 349, 367, 409, 421, 433, 463, 487, 541, 577, 601, 613, 619, 631, 643, 673, 727, 739, 769, 787, 823, 883, 937, 991, 997, 1009, 1021, 1039, 1087, 1093, 1117, 1123, 1201, 1231, 1249, 1291, 1303, 1459, 1471, 1543, 1567, 1579, 1597, 1663, 1693, 1723, 1777, 1801, 1831, 1879, 1933, 1987, 2053, 2083, 2113, 2221, 2239, 2251, 2281, 2311, 2467, 2473, 2557, 2593, 2647, 2671, 2689, 2797, 2851, 2887, 2953, 2971, 3037, 3049, 3109, 3121, 3163, 3187, 3229, 3259, 3301, 3307, 3313, 86743, From Simple English Wikipedia, the free encyclopedia, List of palindromic primes (Up to 100,000), Interface to a list of the first 98 million primes, https://simple.wikipedia.org/w/index.php?title=List_of_prime_numbers&oldid=6815231, Creative Commons Attribution/Share-Alike License. To find whether a number is prime, try dividing it with the prime numbers 2, 3, 5, 7 and 11. 18p − 1 ≡ 1 (mod p2): 5, 7, 37, 331, 33923, 1284043 (OEIS: A244260)

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