The first 1000 primes are listed below, followed by lists of notable types of prime numbers in alphabetical order, giving their respective first terms. p 34159 34171 34183 34211 34213 34217 34231 34253 34259 34261 67559 67567 67577 67579 67589 67601 67607 67619 67631 67651 52817 52837 52859 52861 52879 52883 52889 52901 52903 52919 Daniel I. 65393 65407 65413 65419 65423 65437 65447 65449 65479 65497 100559 100591 100609 100613 100621 100649 100669 100673 100693 100699 42569 42571 42577 42589 42611 42641 42643 42649 42667 42677 11839 11863 11867 11887 11897 11903 11909 11923 11927 11933 21391 21397 21401 21407 21419 21433 21467 21481 21487 21491 3, 5, 7, 13, 17, 19, 23, 37, 47, 59, 61, 67, 71, 79, 89, 101, 103, 107, 109, 127, 151, 157, 163, 167, 191, 197, 199, 223, 229, 233, 239, 271, 277, 283, 293, 307, 311, 313, 331, 353, 373, 379, 383, 397 (OEIS:A046066). Primes 74857 74861 74869 74873 74887 74891 74897 74903 74923 74929 But opting out of some of these cookies may affect your browsing experience. 84011 84017 84047 84053 84059 84061 84067 84089 84121 84127 89443 89449 89459 89477 89491 89501 89513 89519 89521 89527 67391 67399 67409 67411 67421 67427 67429 67433 67447 67453 2, 5, 29, 5741, 33461, 44560482149, 1746860020068409, 68480406462161287469, 13558774610046711780701, 4125636888562548868221559797461449 (OEIS:A086383). 42853 42859 42863 42899 42901 42923 42929 42937 42943 42953 76213 76231 76243 76249 76253 76259 76261 76283 76289 76303 547 557 563 569 571 577 587 593 599 601 y Here is a list of all the prime numbers up to 1,000: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 . 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 11311, 11411, 33533, 77377, 77477, 77977, 1114111, 1117111, 3331333, 3337333, 7772777, 7774777, 7778777, 111181111, 111191111, 777767777, 77777677777, 99999199999 (OEIS:A077798). 94811 94819 94823 94837 94841 94847 94849 94873 94889 94903 11p 1 1 (mod p2): 71[20] 8599 8609 8623 8627 8629 8641 8647 8663 8669 8677 38377 38393 38431 38447 38449 38453 38459 38461 38501 38543 A factor is a whole number that can be divided evenly into another number. 7573 7577 7583 7589 7591 7603 7607 7621 7639 7643 2221 2237 2239 2243 2251 2267 2269 2273 2281 2287 68219 68227 68239 68261 68279 68281 68311 68329 68351 68371 a 18251 18253 18257 18269 18287 18289 18301 18307 18311 18313 Of the form 14207 14221 14243 14249 14251 14281 14293 14303 14321 14323 Two numbers are relatively prime (coprime) if they have no common factor greater than 1. 6577 6581 6599 6607 6619 6637 6653 6659 6661 6673 First Ten Natural Prime Numbers are - 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 Factors of 1 are =1 ( Not Prime Number because it has only one factor) Factors of 2 are = 1 and 2 ( Prime Number because it has only two factors ) 34267 34273 34283 34297 34301 34303 34313 34319 34327 34337 The number of palindromic primes less than a given number are illustrated in the plot above. 103231 103237 103289 103291 103307 103319 103333 103349 103357 103387 If you want to find out more about his sieve for finding primes, and print out some Sieve of Eratosthenes worksheets, use the link below. 55799 55807 55813 55817 55819 55823 55829 55837 55843 55849 88423 88427 88463 88469 88471 88493 88499 88513 88523 88547 8039 8053 8059 8069 8081 8087 8089 8093 8101 8111 5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149, 179, 191, 223, 227, 251, 257, 269, 307 (OEIS:A028388), 7, 13, 19, 23, 31, 79, 97, 103, 109, 139, 167, 193, 239, 263, 293, 313, 331, 367, 379, 383, 397, 409, 487, 563, 617, 653, 673, 683, 709, 739, 761, 863, 881, 907, 937, 1009, 1033, 1039, 1093 (OEIS:A035497), Primes p for which there are no solutions to Hk0(modp) and Hkp(modp) for 1kp2, where Hk denotes the k-th harmonic number and p denotes the Wolstenholme quotient. 47339 47351 47353 47363 47381 47387 47389 47407 47417 47419 77731 77743 77747 77761 77773 77783 77797 77801 77813 77839 Your email address will not be published. 29063 29077 29101 29123 29129 29131 29137 29147 29153 29167 41263 41269 41281 41299 41333 41341 41351 41357 41381 41387 59239 59243 59263 59273 59281 59333 59341 59351 59357 59359 All other even numbers can be divided by 2. 1153 1163 1171 1181 1187 1193 1201 1213 1217 1223 Solved Examples. 101183 101197 101203 101207 101209 101221 101267 101273 101279 101281 3911 3917 3919 3923 3929 3931 3943 3947 3967 3989 93503 93523 93529 93553 93557 93559 93563 93581 93601 93607 16823 16829 16831 16843 16871 16879 16883 16889 16901 16903 85703 85711 85717 85733 85751 85781 85793 85817 85819 85829 Therefore 1 is not a prime number. 63299 63311 63313 63317 63331 63337 63347 63353 63361 63367 43201 43207 43223 43237 43261 43271 43283 43291 43313 43319 6229 6247 6257 6263 6269 6271 6277 6287 6299 6301 Primes p for which, in a given base b, Since any number greater than 5 that ends with 5 can be easily divided by 5. so, it cannot be considered a prime number. gives a cyclic number. 16p 1 1 (mod p2): 1093, 3511 Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. 93629 93637 93683 93701 93703 93719 93739 93761 93763 93787 0 A palindromic prime is a number that is simultaneously palindromic and prime. Pleasant browsing for those who love mathematics at all levels; containing information on primes for students from kindergarten to graduate school. By Euclid's theorem, there are an infinite number of prime numbers.Subsets of the prime numbers may be generated with various formulas for primes.The first 1000 primes are listed below, followed by lists of notable types of prime . 53453 53479 53503 53507 53527 53549 53551 53569 53591 53593 There is also a Prime Number Calculator which will calculate all the prime numbers within chosen values up to a million. 10 = 2 x 5, where 2 and 5 are prime numbers) Composite numbers are divisible by other composite numbers also; List of Composite Numbers. Here are the They have been called two-sided primes. Primes p for which the binomial coefficient Number List 1 - 10 Number List 1 - 20 Number List 1 - 30 Number List 1 - 40 Number List 1 - 50 Number List 1 - 60 Number List 1 - 70 Number List 1 - 80 Number List 1 - 90 Number List 1 - 100 Number List 1 - 1000 (1 thousand) Number List 1 - 10000 (10 thousand) Number List 1 - 100000 (100 thousand) Number List 1 - 1000000 (1 million) The first 10 primes that are not cluster primes are: 2, 97, 127, 149, 191, 211, 223, 227, 229, 251. 92459 92461 92467 92479 92489 92503 92507 92551 92557 92567 91127 91129 91139 91141 91151 91153 91159 91163 91183 91193 7927 7933 7937 7949 7951 7963 7993 8009 8011 8017 48523 48527 48533 48539 48541 48563 48571 48589 48593 48611 smartphone Apps Number Generator. Of the form 2u3v+1 for some integers u,v0. 89633 89653 89657 89659 89669 89671 89681 89689 89753 89759 How many 5 digit prime numbers are there? If you are a regular user of our site and appreciate what we do, {\displaystyle {\tfrac {x^{3}-y^{3}}{x-y}}} 73309 73327 73331 73351 73361 73363 73369 73379 73387 73417 7, 19, 37, 61, 127, 271, 331, 397, 547, 631, 919, 1657, 1801, 1951, 2269, 2437, 2791, 3169, 3571, 4219, 4447, 5167, 5419, 6211, 7057, 7351, 8269, 9241, 10267, 11719, 12097, 13267, 13669, 16651, 19441, 19927, 22447, 23497, 24571, 25117, 26227, 27361, 33391, 35317 (OEIS:A002407). 87869 87877 87881 87887 87911 87917 87931 87943 87959 87961 Primes that remain the same when their decimal digits are read backwards. 87481 87491 87509 87511 87517 87523 87539 87541 87547 87553 giving all the prime numbers up to a certain value. 22651 22669 22679 22691 22697 22699 22709 22717 22721 22727 80929 80933 80953 80963 80989 81001 81013 81017 81019 81023 179 181 191 193 197 199 211 223 227 229 64853 64871 64877 64879 64891 64901 64919 64921 64927 64937 44851 44867 44879 44887 44893 44909 44917 44927 44939 44953 15263 15269 15271 15277 15287 15289 15299 15307 15313 15319 89767 89779 89783 89797 89809 89819 89821 89833 89839 89849 15413 15427 15439 15443 15451 15461 15467 15473 15493 15497 Input any value into our Find Prime Numbers Calculator and it will find all the primes up to and including your value. 58979 58991 58997 59009 59011 59021 59023 59029 59051 59053 32261 32297 32299 32303 32309 32321 32323 32327 32341 32353 2293 2297 2309 2311 2333 2339 2341 2347 2351 2357 25111 25117 25121 25127 25147 25153 25163 25169 25171 25183 Where p is prime and p+2 is either a prime or semiprime. Advertisement. 78577 78583 78593 78607 78623 78643 78649 78653 78691 78697 5641 5647 5651 5653 5657 5659 5669 5683 5689 5693 18521 18523 18539 18541 18553 18583 18587 18593 18617 18637 {\displaystyle F_{p-\left({\frac {p}{5}}\right)}} {\displaystyle p} 48947 48953 48973 48989 48991 49003 49009 49019 49031 49033 Of the form As for whether collisions are possible- modern key sizes (depending on your desired security) range from 1024 to 4096, which means the prime numbers range from 512 to 2048 bits. 14867 14869 14879 14887 14891 14897 14923 14929 14939 14947 58243 58271 58309 58313 58321 58337 58363 58367 58369 58379 Primes for which there are more prime permutations of some or all the decimal digits than for any smaller number. 31267 31271 31277 31307 31319 31321 31327 31333 31337 31357 60727 60733 60737 60757 60761 60763 60773 60779 60793 60811 A circular prime number is a number that remains prime on any cyclic rotation of its digits (in base 10). 75539 75541 75553 75557 75571 75577 75583 75611 75617 75619 26713 26717 26723 26729 26731 26737 26759 26777 26783 26801 84523 84533 84551 84559 84589 84629 84631 84649 84653 84659 19577 19583 19597 19603 19609 19661 19681 19687 19697 19699 127 131 137 139 149 151 157 163 167 173 95987 95989 96001 96013 96017 96043 96053 96059 96079 96097 Calculator Use. 2 3 5 7 11 13 17 19 23 29 43321 43331 43391 43397 43399 43403 43411 43427 43441 43451 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 . 3517 3527 3529 3533 3539 3541 3547 3557 3559 3571 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 197, 199, 311, 337, 373, 719, 733, 919, 971, 991, 1193, 1931, 3119, 3779, 7793, 7937, 9311, 9377, 11939, 19391, 19937, 37199, 39119, 71993, 91193, 93719, 93911, 99371, 193939, 199933, 319993, 331999, 391939, 393919, 919393, 933199, 939193, 939391, 993319, 999331 (OEIS:A068652). Take a look at our Prime Number page which clearly describes what a prime numbers is and what they are not. Primes that remain prime when the least significant decimal digit is successively removed. 101287 101293 101323 101333 101341 101347 101359 101363 101377 101383 The First 10,008 Twin Primes. A different computation found that there are 18,435,599,767,349,200,867,866 primes (roughly 21022) below 1024, if the Riemann hypothesis is true.[4]. List of Prime Numbers between 1 and 200 0 233 239 241 251 257 263 269 271 277 281 {\displaystyle (p,p-3)} p 92251 92269 92297 92311 92317 92333 92347 92353 92357 92363 10273 10289 10301 10303 10313 10321 10331 10333 10337 10343 23911 23917 23929 23957 23971 23977 23981 23993 24001 24007 67157 67169 67181 67187 67189 67211 67213 67217 67219 67231 This has been used to compute that there are 1,925,320,391,606,803,968,923 primes (roughly 21021) below 1023. Tweet a thanks, Learn to code for free. One method is factorization. 12p 1 1 (mod p2): 2693, 123653 (OEIS:A111027) Before I show you the list, here's how to generate a list of prime numbers of your own using a few popular languages. However, you may visit "Cookie Settings" to provide a controlled consent. Only 2 is an even prime, all other even numbers are not prime because they are divisible by 2. Three has just two factors: 1 and 3. 50153 50159 50177 50207 50221 50227 50231 50261 50263 50273 13313 13327 13331 13337 13339 13367 13381 13397 13399 13411 86491 86501 86509 86531 86533 86539 86561 86573 86579 86587 8293 8297 8311 8317 8329 8353 8363 8369 8377 8387 A prime number is a whole number greater than 1 whose only factors are 1 and itself. 87973 87977 87991 88001 88003 88007 88019 88037 88069 88079 18661 18671 18679 18691 18701 18713 18719 18731 18743 18749 88681 88721 88729 88741 88747 88771 88789 88793 88799 88801 Index: Numbers with 5 digits digits: 1 2 3 4 5 6 7 8 10 12 16 20 25 37 79 143 701 4001 + Entries marked with a (check) are primes. 73867 73877 73883 73897 73907 73939 73943 73951 73961 73973 69931 69941 69959 69991 69997 70001 70003 70009 70019 70039 22549 22567 22571 22573 22613 22619 22621 22637 22639 22643 Primes in the Pell number sequence P0=0, P1=1, 55109 55117 55127 55147 55163 55171 55201 55207 55213 55217 10957 10973 10979 10987 10993 11003 11027 11047 11057 11059 84131 84137 84143 84163 84179 84181 84191 84199 84211 84221 82223 82231 82237 82241 82261 82267 82279 82301 82307 82339 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). 88093 88117 88129 88169 88177 88211 88223 88237 88241 88259 31513 31517 31531 31541 31543 31547 31567 31573 31583 31601 102329 102337 102359 102367 102397 102407 102409 102433 102437 102451 14083 14087 14107 14143 14149 14153 14159 14173 14177 14197 The numbers 0 and 1 are neither considered prime numbers nor composite numbers. 96233 96259 96263 96269 96281 96289 96293 96323 96329 96331 Subsets of the prime numbers may be generated with various formulas for primes. 97327 97367 97369 97373 97379 97381 97387 97397 97423 97429 8837 8839 8849 8861 8863 8867 8887 8893 8923 8929 72623 72643 72647 72649 72661 72671 72673 72679 72689 72701 77647 77659 77681 77687 77689 77699 77711 77713 77719 77723 57287 57301 57329 57331 57347 57349 57367 57373 57383 57389 42751 42767 42773 42787 42793 42797 42821 42829 42839 42841 53129 53147 53149 53161 53171 53173 53189 53197 53201 53231 56197 56207 56209 56237 56239 56249 56263 56267 56269 56299 26309 26317 26321 26339 26347 26357 26371 26387 26393 26399 The next prime number is 10,007. 15973 15991 16001 16007 16033 16057 16061 16063 16067 16069 32611 32621 32633 32647 32653 32687 32693 32707 32713 32717 21961 21977 21991 21997 22003 22013 22027 22031 22037 22039 72043 72047 72053 72073 72077 72089 72091 72101 72103 72109 89533 89561 89563 89567 89591 89597 89599 89603 89611 89627 22853 22859 22861 22871 22877 22901 22907 22921 22937 22943 This is a list of articles about prime numbers.A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. And if n is 20, the output should be "2, 3, 5, 7, 11. 95233 95239 95257 95261 95267 95273 95279 95287 95311 95317 38053 38069 38083 38113 38119 38149 38153 38167 38177 38183 76463 76471 76481 76487 76493 76507 76511 76519 76537 76541 x This prime numbers generator is used to generate first n (up to 1000) prime numbers. Partition function values that are prime. 6763 6779 6781 6791 6793 6803 6823 6827 6829 6833 Example: 2, 3, 5, 7, 11, 13, 17, are prime numbers. Numbers that have more than two factors are called composite numbers. 80527 80537 80557 80567 80599 80603 80611 80621 80627 80629 List of prime numbers up to 1000 billion (12-digit number) Home; Prime numbers list; Eratosthenes; Atkin; Trial division; Euclidean division; Web; Donate; Prime I.T. Random 5 Digit Number Generator. 27337 27361 27367 27397 27407 27409 27427 27431 27437 27449 For full functionality of this site it is necessary to enable JavaScript. To find the first five prime numbers, we start at 2 (remember that 1 is not classed as a prime number). 44203 44207 44221 44249 44257 44263 44267 44269 44273 44279 25523 25537 25541 25561 25577 25579 25583 25589 25601 25603 66733 66739 66749 66751 66763 66791 66797 66809 66821 66841 As of April2017[update] these are the only known generalized Fermat primes for a 24. is defined as. 1. Here are the prime numbers from 1-100: All in all, there are 25 prime numbers from 1-100. 52511 52517 52529 52541 52543 52553 52561 52567 52571 52579 We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. 24317 24329 24337 24359 24371 24373 24379 24391 24407 24413 Is the prime factorization of 220? 67247 67261 67271 67273 67289 67307 67339 67343 67349 67369 69313 69317 69337 69341 69371 69379 69383 69389 69401 69403 2. Note: The numbers 0 and 1 are not prime.Only 2 is an even prime, all other even numbers are not prime because they are divisible by 2. There are a total of 168 prime numbers between 1 to 1000. 39139 39157 39161 39163 39181 39191 39199 39209 39217 39227 Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child. 96737 96739 96749 96757 96763 96769 96779 96787 96797 96799 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). The first few (base-10) palindromic primes are 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, . The third prime number, p3 = 5. 95881 95891 95911 95917 95923 95929 95947 95957 95959 95971 35869 35879 35897 35899 35911 35923 35933 35951 35963 35969 7. 49451 49459 49463 49477 49481 49499 49523 49529 49531 49537 [8], Primes p such that (p, p 9) is an irregular pair.[8]. 52147 52153 52163 52177 52181 52183 52189 52201 52223 52237 6841 6857 6863 6869 6871 6883 6899 6907 6911 6917 10n+3: 3, 13, 23, 43, 53, 73, 83, 103, 113, 163, 173, 193, 223, 233, 263 (OEIS:A030431) Spin a Wheel. Zero and 1 are not considered prime numbers. Of the form k2n+1, with odd k and k<2n. More details are in the article for the name. Nine has three factors: 1, 3 and 9. 8389 8419 8423 8429 8431 8443 8447 8461 8467 8501 467 479 487 491 499 503 509 521 523 541 Given an integer D, the task is to find all the prime numbers having D digits. 37061 37087 37097 37117 37123 37139 37159 37171 37181 37189 103391 103393 103399 103409 103421 103423 103451 103457 103471 103483 85369 85381 85411 85427 85429 85439 85447 85451 85453 85469 37579 37589 37591 37607 37619 37633 37643 37649 37657 37663 45083 45119 45121 45127 45131 45137 45139 45161 45179 45181 90989 90997 91009 91019 91033 91079 91081 91097 91099 91121 103889 103903 103913 103919 103951 103963 103967 103969 103979 103981 34651 34667 34673 34679 34687 34693 34703 34721 34729 34739 60821 60859 60869 60887 60889 60899 60901 60913 60917 60919 for some 4759 4783 4787 4789 4793 4799 4801 4813 4817 4831 19p 1 1 (mod p2): 3, 7, 13, 43, 137, 63061489 (OEIS:A090968)[20] The First 10,000 Primes 2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 43, 47, 53, 59, 61, 67, 71, 79, 101, 107, 127, 131, 139, 149, 151, 157, 173, 181, 191, 197, 199, 211, 223, 229, 263, 269, 277, 283, 311, 317, 331, 347, 349 (OEIS:A007459). 47947 47951 47963 47969 47977 47981 48017 48023 48029 48049 Created by math nerds from team Browserling . There are exactly 26 minimal primes: 2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991, 6469, 6949, 9001, 9049, 9649, 9949, 60649, 666649, 946669, 60000049, 66000049, 66600049 (OEIS:A071062). 86293 86297 86311 86323 86341 86351 86353 86357 86369 86371 So 5 is prime. Primes in the Lucas number sequence L0=2, L1=1, Here's a list of all 2,262 prime numbers between zero and 20,000. 2, 5, 877, 27644437, 35742549198872617291353508656626642567, 359334085968622831041960188598043661065388726959079837. 9p 1 1 (mod p2): 2, 11, 1006003 The first 1000 primes are listed below, followed by lists of notable types of prime numbers in . 46751 46757 46769 46771 46807 46811 46817 46819 46829 46831 65071 65089 65099 65101 65111 65119 65123 65129 65141 65147 27953 27961 27967 27983 27997 28001 28019 28027 28031 28051 The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Our Prime Numbers List page is similar to the prime number charts on this page but contains charts b Press button, get primes. 66271 66293 66301 66337 66343 66347 66359 66361 66373 66377 Examples: Input: D = 1 Output: 2 3 5 7 Input: D = 2 Output: 11 13 17 19 23 29 31 37 41 43 47 53 61 67 71 73 79 83 89 97 Recommended: Please try your approach on {IDE} first, before moving on to the solution. 263 ends in an odd number 3, and therefore, it is not divisible by 2. 92369 92377 92381 92383 92387 92399 92401 92413 92419 92431 Our mission: to help people learn to code for free. 6n+5: 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, 101, 107, 113 (OEIS:A007528) 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). This website uses cookies to improve your experience while you navigate through the website. 3 90731 90749 90787 90793 90803 90821 90823 90833 90841 90847 16607 16619 16631 16633 16649 16651 16657 16661 16673 16691 If the sum of a number's digits is a multiple of 3, that number can be divided by 3. 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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