If the sum of a number's digits is a multiple of 3, that number can be divided by 3. − The probability of the existence of another Fermat prime is less than one in a billion. ; Start with the first and the smallest prime number 2. List of prime numbers before 210: 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 (OEIS: A005384). 12n+7: 7, 19, 31, 43, 67, 79, 103, 127, 139, 151, 163, 199, 211, 223, 271 (OEIS: A068229) 2, 3, 5, 7, 17, 29, 277, 367, 853, 14197, 43721, 1442968193, 792606555396977, 187278659180417234321, 66241160488780141071579864797 (OEIS: A074788). View the Prime Numbers in the range 0 to 10,000 in a neatly … The largest known explicit prime (as of Apr 2005) is presented (see Table 1.2), along with Mersenne search-status data. Primes for which there are more prime permutations of some or all the decimal digits than for any smaller number. p Some facts: The only even prime number is 2. 12n+11: 11, 23, 47, 59, 71, 83, 107, 131, 167, 179, 191, 227, 239, 251, 263 (OEIS: A068231), 5, 7, 11, 23, 47, 59, 83, 107, 167, 179, 227, 263, 347, 359, 383, 467, 479, 503, 563, 587, 719, 839, 863, 887, 983, 1019, 1187, 1283, 1307, 1319, 1367, 1439, 1487, 1523, 1619, 1823, 1907 (OEIS: A005385). Fortunate numbers that are prime (it has been conjectured they all are). Partition function values that are prime. p 6n+1: 7, 13, 19, 31, 37, 43, 61, 67, 73, 79, 97, 103, 109, 127, 139 (OEIS: A002476) 1 24p − 1 ≡ 1 (mod p2): 5, 25633 Below is the Python implementation: Python3. Determine whether a given whole number in the range 1 to 100 is a multiple of a given one-digit number. 2, 11, 17, 29, 41, 47, 59, 67, 71, 97, 101, 107, 127, 149, 151, 167, 179, 181, 227, 229, 233, 239, 241, 263, 269, 281, 307, 311, 347, 349, 367, 373, 401, 409, 419, 431, 433, 439, 461, 487, 491 (OEIS: A104272). 2, 23, 47, 59, 83, 89, 113, 167, 269, 389, 419, 509, 659, 839, 1049, 1259, 1889 (OEIS: A105440). 2, 3, 5, 7, 13, 17, 23, 37, 43, 47, 53, 67, 73, 83, 97, 113, 137, 167, 173, 197, 223, 283, 313, 317, 337, 347, 353, 367, 373, 383, 397, 443, 467, 523, 547, 613, 617, 643, 647, 653, 673, 683 (OEIS: A024785). A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself. 10 {\displaystyle p} 4n+1: 5, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, 101, 109, 113, 137 (OEIS: A002144) + 1. Integers that are not prime are called composite numbers. x 12p − 1 ≡ 1 (mod p2): 2693, 123653 (OEIS: A111027) Prime Number. Many of the largest known primes are Mersenne primes, numbers that are one less than a power of two.As of December 2020, the eight largest … And the last is a printable list of the first 100 prime numbers to use in a binder or as a Math poster, etc. 4n+3: 3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, 103, 107 (OEIS: A002145) By Euclid's theorem, there are an infinite number of prime numbers. Newman–Shanks–Williams numbers that are prime. All Mersenne primes are, by definition, members of this sequence. 7p − 1 ≡ 1 (mod p2): 5, 491531 (OEIS: A123693) A Prime number can be explained as a finite number that is only divisible by 1 and by itself. where x = y + 2. 5 2 Primes p for which there exist n > 0 such that p divides n! Interface to a list of the first 98 million primes (primes less than 2,000,000,000) Weisstein, Eric W. "Prime Number Sequences". 1 View as a simple list or as a CSV spreadsheet. 3 Hence, 7 is a prime number but 6 is not, instead it is a composite number. Any permutation of the decimal digits is a prime. Here, we store the interval as lower for lower interval and upper for upper interval, and find prime numbers in that range. 7, 23, 383, 32212254719, 2833419889721787128217599, 195845982777569926302400511, 4776913109852041418248056622882488319 (OEIS: A050918), List of prime numbers and notable types of prime numbers, "Irregular Primes and Cyclotomic Invariants", "Sequence A121091 (Smallest nexus prime of the form n^p - (n-1)^p, where p is an odd prime)", On-Line Encyclopedia of Integer Sequences, "Sequence A121616 (Primes of form (n+1)^5 - n^5)", "Sequence A121618 (Nexus primes of order 7 or primes of form n^7 - (n-1)^7)", "Mirimanoff's Congruence: Other Congruences", Interface to a list of the first 98 million primes, Thema: Fermatquotient B^(P−1) == 1 (mod P^2), https://en.wikipedia.org/w/index.php?title=List_of_prime_numbers&oldid=1002679508, Short description is different from Wikidata, Articles containing potentially dated statements from August 2019, All articles containing potentially dated statements, Articles containing potentially dated statements from April 2017, Articles containing potentially dated statements from 2018, Articles containing potentially dated statements from December 2018, Articles with unsourced statements from April 2020, Articles containing potentially dated statements from 2011, Articles with German-language sources (de), Creative Commons Attribution-ShareAlike License, This page was last edited on 25 January 2021, at 16:09. What Factors Are We host the searchable database of the 5000 largest known primes (updated weekly). 2, 3, 5, 7, 23, 719, 5039, 39916801, 479001599, 87178291199 Access to hundreds of pages of award-winning information on prime numbers--with links to thousands of pages elsewhere. p For example, factors of 6 are 1,2,3 and 6, which are four factors in total. Where (p, p+2, p+6) or (p, p+4, p+6) are all prime. 5 . ( 13, 109, 193, 433, 769, 1201, 1453, 2029, 3469, 3889, 4801, 10093, 12289, 13873, 18253, 20173, 21169, 22189, 28813, 37633, 43201, 47629, 60493, 63949, 65713, 69313, 73009, 76801, 84673, 106033, 108301, 112909, 115249 (OEIS: A002648), 3, 393050634124102232869567034555427371542904833 (OEIS: A050920). ( Prime Numbers. Prime numbers between 900 and 1000 are: 907 911 919 929 937 941 947 953 967 971 977 983 991 997. 10n+7: 7, 17, 37, 47, 67, 97, 107, 127, 137, 157, 167, 197, 227, 257, 277 (OEIS: A030432) You can also check all primes. Primes that having any one of their (base 10) digits changed to any other value will always result in a composite number. Three such primes are known; it is not known whether there are more.. The first 168 prime numbers are: 12n+1: 13, 37, 61, 73, 97, 109, 157, 181, 193, 229, 241, 277, 313, 337, 349 (OEIS: A068228) ( 2, 3, 211, 5, 23, 7, 3331113965338635107, 311, 773, 11, 223, 13, 13367, 1129, 31636373, 17, 233, 19, 3318308475676071413, 37, 211, 23, 331319, 773, 3251, 13367, 227, 29, 547, 31, 241271, 311, 31397, 1129, 71129, 37, 373, 313, 3314192745739, 41, 379, 43, 22815088913, 3411949, 223, 47, 6161791591356884791277 (OEIS: A037274). Of the form pn# + 1 (a subset of primorial primes). The prime numbers table lists the first 1000 prime numbers from 2 to 8011. A different computation found that there are 18,435,599,767,349,200,867,866 primes (roughly 2×1022) below 1024, if the Riemann hypothesis is true.. y x All other even numbers can be divided by 2. Primes containing only the decimal digit 1. So, 6 is a 'composite number'. − The first 1000 prime numbers are given below. ( It seems likely that all further permutable primes are repunits, i.e. Visit this page to learn how to check whether a number is prime or not. 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). n For example: 2, 3 , 5, 7, 11 are the first five prime numbers. 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). For other small a, they are given below: a = 3: 13, 1093, 797161, 3754733257489862401973357979128773, 6957596529882152968992225251835887181478451547013 (OEIS: A076481), a = 5: 31, 19531, 12207031, 305175781, 177635683940025046467781066894531, 14693679385278593849609206715278070972733319459651094018859396328480215743184089660644531 (OEIS: A086122), a = 6: 7, 43, 55987, 7369130657357778596659, 3546245297457217493590449191748546458005595187661976371 (OEIS: A165210), a = 7: 2801, 16148168401, 85053461164796801949539541639542805770666392330682673302530819774105141531698707146930307290253537320447270457. A factor is a whole number that can be divided evenly into another number. There are exactly fifteen supersingular primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, 71 (OEIS: A002267), 2, 5, 11, 23, 47, 191, 383, 6143, 786431, 51539607551, 824633720831, 26388279066623, 108086391056891903, 55340232221128654847, 226673591177742970257407 (OEIS: A007505). 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