65269 65287 65293 65309 65323 65327 65353 65357 65371 65381 74311 74317 74323 74353 74357 74363 74377 74381 74383 74411 A factor is a whole number that can be divided evenly into another number. . 13009 13033 13037 13043 13049 13063 13093 13099 13103 13109 17321 17327 17333 17341 17351 17359 17377 17383 17387 17389 The reverse of Jordan's 23, the No. 95881 95891 95911 95917 95923 95929 95947 95957 95959 95971 71941 71947 71963 71971 71983 71987 71993 71999 72019 72031 4663 4673 4679 4691 4703 4721 4723 4729 4733 4751 90619 90631 90641 90647 90659 90677 90679 90697 90703 90709 96469 96479 96487 96493 96497 96517 96527 96553 96557 96581 Step 2: The number 2 is the first number in the list and it is a prime number too; cross out every 2nd number in the list after 2 by adding 2 or skip counting by 2s. Used Sieve of Eratosthenes to generate 5 digit primes (between 9999 & 100000) Built a function to compute the sum of digits (12345 = 1+2+3+4+5 = 15) Built a function to check an array if the sum of digits are the same throughout. Here is JavaScript code to generate a list of an arbitrarily large number of prime numbers. 24889 24907 24917 24919 24923 24943 24953 24967 24971 24977 101399 101411 101419 101429 101449 101467 101477 101483 101489 101501 42683 42689 42697 42701 42703 42709 42719 42727 42737 42743 85369 85381 85411 85427 85429 85439 85447 85451 85453 85469 Primes that remain the same when their decimal digits are read backwards. 22447 22453 22469 22481 22483 22501 22511 22531 22541 22543 It was discovered in 2018 by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS). Numbers that have more than two factors are called composite numbers. 607 613 617 619 631 641 643 647 653 659 39439 39443 39451 39461 39499 39503 39509 39511 39521 39541 44111 44119 44123 44129 44131 44159 44171 44179 44189 44201 5953 5981 5987 6007 6011 6029 6037 6043 6047 6053 6679 6689 6691 6701 6703 6709 6719 6733 6737 6761 p 5 is the only prime number to end in the digit 5 in decimal because all other numbers written with a 5 in the ones place are multiples of five, which makes it a 1-automorphic number. 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). This calculator uses the Sieve of Eratosthenes to calculate the prime numbers from and to any given numbers under a million. . 76913 76919 76943 76949 76961 76963 76991 77003 77017 77023 . 5 99859 99871 99877 99881 99901 99907 99923 99929 99961 99971 + 1. for some p 53353 53359 53377 53381 53401 53407 53411 53419 53437 53441 31513 31517 31531 31541 31543 31547 31567 31573 31583 31601 75721 75731 75743 75767 75773 75781 75787 75793 75797 75821 hours? 103087 103091 103093 103099 103123 103141 103171 103177 103183 103217 93629 93637 93683 93701 93703 93719 93739 93761 93763 93787 82471 82483 82487 82493 82499 82507 82529 82531 82549 82559 Any number greater than 5 that ends in a 5 can be divided by 5. By Euclid's theorem, there are an infinite number of prime numbers. {\displaystyle p} 65519 65521 65537 65539 65543 65551 65557 65563 65579 65581 49139 49157 49169 49171 49177 49193 49199 49201 49207 49211 3, 5, 13, 17, 41, 97, 113, 193, 241, 257, 353, 449, 577, 641, 673, 769, 929, 1153, 1217, 1409, 1601, 2113, 2689, 2753, 3137, 3329, 3457, 4481, 4993, 6529, 7297, 7681, 7937, 9473, 9601, 9857 (OEIS:A080076), 5, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, 101, 109, 113, 137, 149, 157, 173, 181, 193, 197, 229, 233, 241, 257, 269, 277, 281, 293, 313, 317, 337, 349, 353, 373, 389, 397, 401, 409, 421, 433, 449 (OEIS:A002144), (5, 7, 11, 13), (11, 13, 17, 19), (101, 103, 107, 109), (191, 193, 197, 199), (821, 823, 827, 829), (1481, 1483, 1487, 1489), (1871, 1873, 1877, 1879), (2081, 2083, 2087, 2089), (3251, 3253, 3257, 3259), (3461, 3463, 3467, 3469), (5651, 5653, 5657, 5659), (9431, 9433, 9437, 9439) (OEIS:A007530, OEIS:A136720, OEIS:A136721, OEIS:A090258), 2, 17, 97, 257, 337, 641, 881 (OEIS:A002645). 104549 104551 104561 104579 104593 104597 104623 104639 104651 104659 15413 15427 15439 15443 15451 15461 15467 15473 15493 15497 15329 15331 15349 15359 15361 15373 15377 15383 15391 15401 27773 27779 27791 27793 27799 27803 27809 27817 27823 27827 Still, there are overall more primes among the same range of smaller numbers (1000-5499 has ~4400 primes, 5500-99999 has ~4000). 32359 32363 32369 32371 32377 32381 32401 32411 32413 32423 Pn=2Pn1+Pn2. The last result that came out of GIMPS was $2^{74\,207\,281} - 1$, with over twenty million digits. 3p 1 1 (mod p2): 11, 1006003 (OEIS:A014127)[17][18][19] 14951 14957 14969 14983 15013 15017 15031 15053 15061 15073 Now onto 7. 32 is the jersey worn by popular athletes such as the Hall of Fame inductee Jim Brown, the former National Football League all-time leading rusher; and Ervin "Magic" Johnson, five-time NBA champion. 78121 78137 78139 78157 78163 78167 78173 78179 78191 78193 Prime Numbers Chart and Calculator. 16823 16829 16831 16843 16871 16879 16883 16889 16901 16903 Take a look at some more of our worksheets similar to these. 1 Your email address will not be published. 26893 26903 26921 26927 26947 26951 26953 26959 26981 26987 16273 16301 16319 16333 16339 16349 16361 16363 16369 16381 21089 21101 21107 21121 21139 21143 21149 21157 21163 21169 , where the Legendre symbol 10273 10289 10301 10303 10313 10321 10331 10333 10337 10343 Therefore 1 is not a prime number. Some Important Points about Prime Numbers 86599 86627 86629 86677 86689 86693 86711 86719 86729 86743 7649 7669 7673 7681 7687 7691 7699 7703 7717 7723 263 is a prime number. 59369 59377 59387 59393 59399 59407 59417 59419 59441 59443 55001 55009 55021 55049 55051 55057 55061 55073 55079 55103 43063 43067 43093 43103 43117 43133 43151 43159 43177 43189 2, 23, 37, 47, 53, 67, 79, 83, 89, 97, 113, 127, 131, 157, 163, 167, 173, 211, 223, 233, 251, 257, 263, 277, 293, 307, 317, 331, 337, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 439, 443, 449, 457, 467, 479, 487, 491, 499, 503, 509, 541, 547, 557, 563, 577, 587, 593, 607, 613, 631, 647, 653, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 839, 853, 863, 877, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997 (OEIS:A007510), 17, 593, 32993, 2097593, 8589935681, 59604644783353249, 523347633027360537213687137, 43143988327398957279342419750374600193 (OEIS:A094133). 95327 95339 95369 95383 95393 95401 95413 95419 95429 95441 This is a list of articles about prime numbers. 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). Our Prime Number Charts page is similar to the prime number lists on this page but contains charts Eight has four factors: 1, 2, 4 and 8. 30347 30367 30389 30391 30403 30427 30431 30449 30467 30469 294001, 505447, 584141, 604171, 971767, 1062599, 1282529, 1524181, 2017963, 2474431, 2690201, 3085553, 3326489, 4393139 (OEIS:A050249). How long is it safe to use nicotine lozenges? 79943 79967 79973 79979 79987 79997 79999 80021 80039 80051 43787 43789 43793 43801 43853 43867 43889 43891 43913 43933 11549 11551 11579 11587 11593 11597 11617 11621 11633 11657 Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. 27847 27851 27883 27893 27901 27917 27919 27941 27943 27947 Many generalizations of Mersenne primes have been defined. 61463 61469 61471 61483 61487 61493 61507 61511 61519 61543 For the first 1000 prime numbers, this calculator indicates the index of the prime number. 37691 37693 37699 37717 37747 37781 37783 37799 37811 37813 103613 103619 103643 103651 103657 103669 103681 103687 103699 103703 185, 253, 253, and 263. 60257 60259 60271 60289 60293 60317 60331 60337 60343 60353 Return from First 5 Prime Numbers page to Math Salamanders Homepage. giving the first set of prime numbers. 10009 10037 10039 10061 10067 10069 10079 10091 10093 10099 14867 14869 14879 14887 14891 14897 14923 14929 14939 14947 40993 41011 41017 41023 41039 41047 41051 41057 41077 41081 56713 56731 56737 56747 56767 56773 56779 56783 56807 56809 34651 34667 34673 34679 34687 34693 34703 34721 34729 34739 69067 69073 69109 69119 69127 69143 69149 69151 69163 69191 p 6763 6779 6781 6791 6793 6803 6823 6827 6829 6833 The numbers 0 and 1 are neither considered prime numbers nor composite numbers. 42293 42299 42307 42323 42331 42337 42349 42359 42373 42379 63577 63587 63589 63599 63601 63607 63611 63617 63629 63647 52511 52517 52529 52541 52543 52553 52561 52567 52571 52579 8389 8419 8423 8429 8431 8443 8447 8461 8467 8501 47123 47129 47137 47143 47147 47149 47161 47189 47207 47221 7211 7213 7219 7229 7237 7243 7247 7253 7283 7297 94463 94477 94483 94513 94529 94531 94541 94543 94547 94559 7, 13, 97, 193, 769, 12289, 786433, 3221225473, 206158430209, 6597069766657 (OEIS:A039687). 63727 63737 63743 63761 63773 63781 63793 63799 63803 63809 For example, 2 + 2 = 4, 4 + 2 = 6, and so on (these will be all the multiples of 2 in the list): Such as 4, 6, 8, 10, 12, 14, 16 and so on up to 100. 93503 93523 93529 93553 93557 93559 93563 93581 93601 93607 When are two numbers considered to be relatively prime? 13789 13799 13807 13829 13831 13841 13859 13873 13877 13879 69193 69197 69203 69221 69233 69239 69247 69257 69259 69263 Here is the list of composite numbers from 1 to 100 in Maths. 54277 54287 54293 54311 54319 54323 54331 54347 54361 54367 57397 57413 57427 57457 57467 57487 57493 57503 57527 57529 Numbers that have more than two factors are called composite numbers. 66383 66403 66413 66431 66449 66457 66463 66467 66491 66499 91541 91571 91573 91577 91583 91591 91621 91631 91639 91673 83617 83621 83639 83641 83653 83663 83689 83701 83717 83719 A prime number is a whole number greater than 1 whose only factors are 1 and itself. 30253 30259 30269 30271 30293 30307 30313 30319 30323 30341 12n+5: 5, 17, 29, 41, 53, 89, 101, 113, 137, 149, 173, 197, 233, 257, 269 (OEIS:A040117) 76801 76819 76829 76831 76837 76847 76871 76873 76883 76907 79187 79193 79201 79229 79231 79241 79259 79273 79279 79283 67157 67169 67181 67187 67189 67211 67213 67217 67219 67231 44647 44651 44657 44683 44687 44699 44701 44711 44729 44741 26407 26417 26423 26431 26437 26449 26459 26479 26489 26497 Subsets of the prime numbers may be generated with various formulas for primes. 58603 58613 58631 58657 58661 58679 58687 58693 58699 58711 38287 38299 38303 38317 38321 38327 38329 38333 38351 38371 9643 9649 9661 9677 9679 9689 9697 9719 9721 9733 12941 12953 12959 12967 12973 12979 12983 13001 13003 13007 97441 97453 97459 97463 97499 97501 97511 97523 97547 97549 1. 101503 101513 101527 101531 101533 101537 101561 101573 101581 101599 prime and tell you all the factors of that number. 52937 52951 52957 52963 52967 52973 52981 52999 53003 53017 Three has just two factors: 1 and 3. 6. 72707 72719 72727 72733 72739 72763 72767 72797 72817 72823 22051 22063 22067 22073 22079 22091 22093 22109 22111 22123 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. There are 1,009 total prime numbers in the lookup table below. 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) Prime Number. Also Know, is there a largest prime number? 49667 49669 49681 49697 49711 49727 49739 49741 49747 49757 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). 33721 33739 33749 33751 33757 33767 33769 33773 33791 33797 34033 34039 34057 34061 34123 34127 34129 34141 34147 34157 Input: N = 1032 Output: 2 Explanation: Digits of the number - {1, 0, 3, 2} 3 and 2 are prime number Approach: The idea is to iterate through all the digits of the number and check whether the digit is a prime or not. 96137 96149 96157 96167 96179 96181 96199 96211 96221 96223 ( 74201 74203 74209 74219 74231 74257 74279 74287 74293 74297 Wikipedia also lists the twenty highest known prime numbers, only the four smallest on that list have fewer than three million digits.. For some while now, I have been wondering about the smaller prime numbers we haven't found. 74527 74531 74551 74561 74567 74573 74587 74597 74609 74611 102031 102043 102059 102061 102071 102077 102079 102101 102103 102107 64951 64969 64997 65003 65011 65027 65029 65033 65053 65063 46997 47017 47041 47051 47057 47059 47087 47093 47111 47119 63823 63839 63841 63853 63857 63863 63901 63907 63913 63929 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 ) 16411 16417 16421 16427 16433 16447 16451 16453 16477 16481 80273 80279 80287 80309 80317 80329 80341 80347 80363 80369 76463 76471 76481 76487 76493 76507 76511 76519 76537 76541 25189 25219 25229 25237 25243 25247 25253 25261 25301 25303 86869 86923 86927 86929 86939 86951 86959 86969 86981 86993 4153 4157 4159 4177 4201 4211 4217 4219 4229 4231 A prime number is a whole number greater than 1 whose only factors are 1 and itself. They have been called two-sided primes. 84011 84017 84047 84053 84059 84061 84067 84089 84121 84127 20269 20287 20297 20323 20327 20333 20341 20347 20353 20357 We also use third-party cookies that help us analyze and understand how you use this website. Necessary cookies are absolutely essential for the website to function properly. 49783 49787 49789 49801 49807 49811 49823 49831 49843 49853 No prime number greater than 5 ends in a 5. 2, 3, 5, 7, 23, 719, 5039, 39916801, 479001599, 87178291199, 10888869450418352160768000001, 265252859812191058636308479999999, 263130836933693530167218012159999999, 8683317618811886495518194401279999999 (OEIS:A088054), As of August2019[update] these are the only known Fermat primes, and conjecturally the only Fermat primes. 87557 87559 87583 87587 87589 87613 87623 87629 87631 87641 11, 1111111111111111111 (19 digits), 11111111111111111111111 (23 digits) (OEIS:A004022), The next have 317, 1031, 49081, 86453, 109297, 270343 digits (OEIS:A004023). 83737 83761 83773 83777 83791 83813 83833 83843 83857 83869 56993 56999 57037 57041 57047 57059 57073 57077 57089 57097 8747 8753 8761 8779 8783 8803 8807 8819 8821 8831 57667 57679 57689 57697 57709 57713 57719 57727 57731 57737 71479 71483 71503 71527 71537 71549 71551 71563 71569 71593 41113 41117 41131 41141 41143 41149 41161 41177 41179 41183 See also: Prime Numbers from 1-100 and 4-Digit Prime Numbers These are the Prime Numbers from 101~1000. 21391 21397 21401 21407 21419 21433 21467 21481 21487 21491 83269 83273 83299 83311 83339 83341 83357 83383 83389 83399 73867 73877 73883 73897 73907 73939 73943 73951 73961 73973 22961 22963 22973 22993 23003 23011 23017 23021 23027 23029 Of the form 50383 50387 50411 50417 50423 50441 50459 50461 50497 50503 ( Some facts: The only even prime number is 2. 99079 99083 99089 99103 99109 99119 99131 99133 99137 99139 10n+3: 3, 13, 23, 43, 53, 73, 83, 103, 113, 163, 173, 193, 223, 233, 263 (OEIS:A030431) Two examples of twin prime numbers are: (3, 5); here 3, 5 are prime numbers and 4 is the composite number between them. 8221 8231 8233 8237 8243 8263 8269 8273 8287 8291 0. But one is regarded as a special or unique number because 1 divides evenly by 1 only. ) {\displaystyle {\frac {a{\big (}10^{m}-1{\big )}}{9}}\pm b\times 10^{\frac {m-1}{2}}} 89867 89891 89897 89899 89909 89917 89923 89939 89959 89963 42461 42463 42467 42473 42487 42491 42499 42509 42533 42557 All integers (except 0 and 1) have at least two divisors - 1 and the number itself. 72353 72367 72379 72383 72421 72431 72461 72467 72469 72481 87739 87743 87751 87767 87793 87797 87803 87811 87833 87853 63467 63473 63487 63493 63499 63521 63527 63533 63541 63559 87481 87491 87509 87511 87517 87523 87539 87541 87547 87553 59239 59243 59263 59273 59281 59333 59341 59351 59357 59359 Primes in the Perrin number sequence P(0)=3, P(1)=0, P(2)=2, 75833 75853 75869 75883 75913 75931 75937 75941 75967 75979 2833 2837 2843 2851 2857 2861 2879 2887 2897 2903 The first few circular primes are 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 197, . 101183 101197 101203 101207 101209 101221 101267 101273 101279 101281 15161 15173 15187 15193 15199 15217 15227 15233 15241 15259 Created by math nerds from team Browserling . 15959 15985 16001 16033 16061 16063 16091 16127 16132 16277 16361 16381 16427 16433 16447 16459 16487 16529 16561 16619 16631 16633 16638 16661 16719 16763 16843 16891 16981 17003 17017 17107 17159 17163 17167 17191 2293 2297 2309 2311 2333 2339 2341 2347 2351 2357 24179 24181 24197 24203 24223 24229 24239 24247 24251 24281 There are 15 primes which are both left-truncatable and right-truncatable. How many 5 digit numbers are formed from 012345? The largest known prime number (as of January 2020) is 282,589,933 1, a number which has 24,862,048 digits when written in base 10. b 4943 4951 4957 4967 4969 4973 4987 4993 4999 5003 Number of Additive Primes: 14/25 Number of Carol Primes: 2/25 Number of Chen Primes: 20/25 Number of Circular Primes: 13/25 Number of . 30697 30703 30707 30713 30727 30757 30763 30773 30781 30803 77983 77999 78007 78017 78031 78041 78049 78059 78079 78101 74 numbers are composite. 71233 71237 71249 71257 71261 71263 71287 71293 71317 71327 100703 100733 100741 100747 100769 100787 100799 100801 100811 100823 50153 50159 50177 50207 50221 50227 50231 50261 50263 50273 Only 2 is an even prime, all other even numbers are not prime because they are divisible by 2. 14713 14717 14723 14731 14737 14741 14747 14753 14759 14767 35171 35201 35221 35227 35251 35257 35267 35279 35281 35291 42193 42197 42209 42221 42223 42227 42239 42257 42281 42283 85607 85619 85621 85627 85639 85643 85661 85667 85669 85691 Partition function values that are prime. 9 Note that, despite this, you probably shouldn't include 0 in the starting guess (e.g. 26641 26647 26669 26681 26683 26687 26693 26699 26701 26711 18661 18671 18679 18691 18701 18713 18719 18731 18743 18749 6229 6247 6257 6263 6269 6271 6277 6287 6299 6301 31121 31123 31139 31147 31151 31153 31159 31177 31181 31183 The limit on the input number to factor is less than 10,000,000,000,000 (less than 10 trillion or a maximum of 13 digits). 48523 48527 48533 48539 48541 48563 48571 48589 48593 48611 13709 13711 13721 13723 13729 13751 13757 13759 13763 13781 This has been used to compute that there are 1,925,320,391,606,803,968,923 primes (roughly 21021) below 1023. 10 = 2 x 5, where 2 and 5 are prime numbers) Composite numbers are divisible by other composite numbers also; List of Composite Numbers. The probability of the existence of another Fermat prime is less than one in a billion. 4. 6311 6317 6323 6329 6337 6343 6353 6359 6361 6367 5189 5197 5209 5227 5231 5233 5237 5261 5273 5279 79397 79399 79411 79423 79427 79433 79451 79481 79493 79531 39551 39563 39569 39581 39607 39619 39623 39631 39659 39667 47533 47543 47563 47569 47581 47591 47599 47609 47623 47629 - Henno Brandsma. 29063 29077 29101 29123 29129 29131 29137 29147 29153 29167 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 . A palindromic prime is a number that is simultaneously palindromic and prime. Primes that are a cototient more often than any integer below it except 1. 5281 5297 5303 5309 5323 5333 5347 5351 5381 5387 2 79843 79847 79861 79867 79873 79889 79901 79903 79907 79939