On this page we will tell you what the first five prime numbers are and why they are prime. 100703 100733 100741 100747 100769 100787 100799 100801 100811 100823 26501 26513 26539 26557 26561 26573 26591 26597 26627 26633 0 41263 41269 41281 41299 41333 41341 41351 41357 41381 41387 79627 79631 79633 79657 79669 79687 79691 79693 79697 79699 4 For every prime number p, there exists a prime number p' such that p' is greater than p. This mathematical proof, which was demonstrated in ancient times by the Greek mathematician Euclid, validates the concept that there is no "largest" prime number. 11839 11863 11867 11887 11897 11903 11909 11923 11927 11933 1. 38923 38933 38953 38959 38971 38977 38993 39019 39023 39041 94117 94121 94151 94153 94169 94201 94207 94219 94229 94253 33119 33149 33151 33161 33179 33181 33191 33199 33203 33211 55871 55889 55897 55901 55903 55921 55927 55931 55933 55949 26113 26119 26141 26153 26161 26171 26177 26183 26189 26203 that divides Euler number 1523 1531 1543 1549 1553 1559 1567 1571 1579 1583 75833 75853 75869 75883 75913 75931 75937 75941 75967 75979 n is a natural number (including 0) in the definitions. 26407 26417 26423 26431 26437 26449 26459 26479 26489 26497 {\displaystyle p} 24179 24181 24197 24203 24223 24229 24239 24247 24251 24281 11351 11353 11369 11383 11393 11399 11411 11423 11437 11443 7727 7741 7753 7757 7759 7789 7793 7817 7823 7829 Prime elements of the Gaussian integers; equivalently, primes of the form 4n+3. 81611 81619 81629 81637 81647 81649 81667 81671 81677 81689 12569 12577 12583 12589 12601 12611 12613 12619 12637 12641 32941 32957 32969 32971 32983 32987 32993 32999 33013 33023 33347 33349 33353 33359 33377 33391 33403 33409 33413 33427 10009 10037 10039 10061 10067 10069 10079 10091 10093 10099 ( 72493 72497 72503 72533 72547 72551 72559 72577 72613 72617 3083 3089 3109 3119 3121 3137 3163 3167 3169 3181 23747 23753 23761 23767 23773 23789 23801 23813 23819 23827 [2] That means 95,676,260,903,887,607 primes[3] (nearly 1017), but they were not stored. 6n+1: 7, 13, 19, 31, 37, 43, 61, 67, 73, 79, 97, 103, 109, 127, 139 (OEIS:A002476) I assembled this list for my own uses as a programmer, and wanted to share it with you. The answer is that the largest known prime has over 17 million digits - far beyond even the very large numbers typically used in cryptography). 17099 17107 17117 17123 17137 17159 17167 17183 17189 17191 Zero and 1 are not considered prime numbers. 5189 5197 5209 5227 5231 5233 5237 5261 5273 5279 101603 101611 101627 101641 101653 101663 101681 101693 101701 101719 67967 67979 67987 67993 68023 68041 68053 68059 68071 68087 Only 2 is an even prime, all other even numbers are not prime because they are divisible by 2. 81233 81239 81281 81283 81293 81299 81307 81331 81343 81349 96469 96479 96487 96493 96497 96517 96527 96553 96557 96581 89767 89779 89783 89797 89809 89819 89821 89833 89839 89849 27847 27851 27883 27893 27901 27917 27919 27941 27943 27947 5 Which is the nth prime number in this calculator? 3343 3347 3359 3361 3371 3373 3389 3391 3407 3413 93283 93287 93307 93319 93323 93329 93337 93371 93377 93383 68389 68399 68437 68443 68447 68449 68473 68477 68483 68489 49547 49549 49559 49597 49603 49613 49627 49633 49639 49663 74311 74317 74323 74353 74357 74363 74377 74381 74383 74411 Primes in the Fibonacci sequence F0=0, F1=1, 3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, 103, 107, 127, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251, 263, 271, 283, 307, 311, 331, 347, 359, 367, 379, 383, 419, 431, 439, 443, 463, 467, 479, 487, 491, 499, 503 (OEIS:A002145). 95027 95063 95071 95083 95087 95089 95093 95101 95107 95111 87869 87877 87881 87887 87911 87917 87931 87943 87959 87961 52583 52609 52627 52631 52639 52667 52673 52691 52697 52709 57397 57413 57427 57457 57467 57487 57493 57503 57527 57529 + 1. Where p and 2p + 1 are both prime. 71329 71333 71339 71341 71347 71353 71359 71363 71387 71389 38189 38197 38201 38219 38231 38237 38239 38261 38273 38281 83617 83621 83639 83641 83653 83663 83689 83701 83717 83719 The smallest five-digit number = 10000. 24019 24023 24029 24043 24049 24061 24071 24077 24083 24091 99859 99871 99877 99881 99901 99907 99923 99929 99961 99971 Problem . World's simplest math tool. (: prime number) 1 2 1 76091 76099 76103 76123 76129 76147 76157 76159 76163 76207 12n+7: 7, 19, 31, 43, 67, 79, 103, 127, 139, 151, 163, 199, 211, 223, 271 (OEIS:A068229) The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. 91691 91703 91711 91733 91753 91757 91771 91781 91801 91807 91127 91129 91139 91141 91151 91153 91159 91163 91183 91193 76673 76679 76697 76717 76733 76753 76757 76771 76777 76781 31121 31123 31139 31147 31151 31153 31159 31177 31181 31183 41681 41687 41719 41729 41737 41759 41761 41771 41777 41801 90163 90173 90187 90191 90197 90199 90203 90217 90227 90239 The image below shows this list. 5641 5647 5651 5653 5657 5659 5669 5683 5689 5693 89009 89017 89021 89041 89051 89057 89069 89071 89083 89087 The number 1 is not a prime number by definition. 7001 7013 7019 7027 7039 7043 7057 7069 7079 7103 76913 76919 76943 76949 76961 76963 76991 77003 77017 77023 By Euclid's theorem, there are an infinite number of prime numbers. 86599 86627 86629 86677 86689 86693 86711 86719 86729 86743 giving all the prime numbers up to a certain value. 71119 71129 71143 71147 71153 71161 71167 71171 71191 71209 {\displaystyle {{2p-1} \choose {p-1}}\equiv 1{\pmod {p^{4}}}.}. 80387 80407 80429 80447 80449 80471 80473 80489 80491 80513 21391 21397 21401 21407 21419 21433 21467 21481 21487 21491 7211 7213 7219 7229 7237 7243 7247 7253 7283 7297 These cookies track visitors across websites and collect information to provide customized ads. 87011 87013 87037 87041 87049 87071 87083 87103 87107 87119 37, 59, 67, 101, 103, 131, 149, 157, 233, 257, 263, 271, 283, 293, 307, 311, 347, 353, 379, 389, 401, 409, 421, 433, 461, 463, 467, 491, 523, 541, 547, 557, 577, 587, 593, 607, 613 (OEIS:A000928), Primes p such that (p, p5) is an irregular pair. 37409 37423 37441 37447 37463 37483 37489 37493 37501 37507 Number Theory 18 (1984), 261-268. please consider making a small donation to help us with 33223 33247 33287 33289 33301 33311 33317 33329 33331 33343 28057 28069 28081 28087 28097 28099 28109 28111 28123 28151 (the 10,000th is 104,729) The number 0 is not a prime number. 34849 34871 34877 34883 34897 34913 34919 34939 34949 34961 5281 5297 5303 5309 5323 5333 5347 5351 5381 5387 12647 12653 12659 12671 12689 12697 12703 12713 12721 12739 38557 38561 38567 38569 38593 38603 38609 38611 38629 38639 22447 22453 22469 22481 22483 22501 22511 22531 22541 22543 101107 101111 101113 101117 101119 101141 101149 101159 101161 101173 79301 79309 79319 79333 79337 79349 79357 79367 79379 79393 But one is regarded as a special or unique number because 1 divides evenly by 1 only. 29383 29387 29389 29399 29401 29411 29423 29429 29437 29443 Tweet a thanks, Learn to code for free. 74857 74861 74869 74873 74887 74891 74897 74903 74923 74929 So 10 is composite. 6. 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 . 33721 33739 33749 33751 33757 33767 33769 33773 33791 33797 61463 61469 61471 61483 61487 61493 61507 61511 61519 61543 Here is the full list of primes. our costs. The probability of the existence of another Fermat prime is less than one in a billion. 92671 92681 92683 92693 92699 92707 92717 92723 92737 92753 10663 10667 10687 10691 10709 10711 10723 10729 10733 10739 Number Lists. Zero is not a positive number and has infinite number of divisors. 60631 60637 60647 60649 60659 60661 60679 60689 60703 60719 101287 101293 101323 101333 101341 101347 101359 101363 101377 101383 51217 51229 51239 51241 51257 51263 51283 51287 51307 51329 is an Euler irregular pair. 15329 15331 15349 15359 15361 15373 15377 15383 15391 15401 1 Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. The First 1,008 Twin Primes. 15973 15991 16001 16007 16033 16057 16061 16063 16067 16069 85037 85049 85061 85081 85087 85091 85093 85103 85109 85121 The First 10,008 Twin Primes. 739 743 751 757 761 769 773 787 797 809 72623 72643 72647 72649 72661 72671 72673 72679 72689 72701 84787 84793 84809 84811 84827 84857 84859 84869 84871 84913 28751 28753 28759 28771 28789 28793 28807 28813 28817 28837 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, . 2909 2917 2927 2939 2953 2957 2963 2969 2971 2999 41389 41399 41411 41413 41443 41453 41467 41479 41491 41507 56509 56519 56527 56531 56533 56543 56569 56591 56597 56599 82657 82699 82721 82723 82727 82729 82757 82759 82763 82781 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. 25609 25621 25633 25639 25643 25657 25667 25673 25679 25693 A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. 40177 40189 40193 40213 40231 40237 40241 40253 40277 40283 As the set of natural numbers N = {1, 2, 3, } proceeds, however, prime numbers generally become less frequent and are more difficult to find in a reasonable amount of time. List the resulting prime factors as a sequence of multiples, 2 x 2 x 5 x 5 or as factors with exponents, 2 2 x 5 2 . 19709 19717 19727 19739 19751 19753 19759 19763 19777 19793 The third prime number, p3 = 5. 19333 19373 19379 19381 19387 19391 19403 19417 19421 19423 {\displaystyle (p,p-3)} They are also called full reptend primes. Random numbers that SUM up to a specific value, Random numbers whose DIGITS SUM up to a specific value, Random numbers DIVISIBLE by a specific number, All possible Combinations of N numbers from X-Y, All possible Permutations of N numbers from X-Y, All possible Combinations of length R from a list of N items (nCr), All possible Permutations of length R from a string of length N (nPr), Odd Number List 1 - 100000 (100 thousand), Even Number List 1 - 100000 (100 thousand), Prime Number List 1 - 10000 (10 thousand), Prime Number List 1 - 100000 (100 thousand), Prime Number List 1 - 1000000 (1 million), Hex Number List 1 - 100000 (100 thousand), Binary Number List 1 - 10000 (10 thousand), Binary Number List 1 - 100000 (100 thousand), Binary Number List 1 - 1000000 (1 million). [8], Primes p such that (p, p 9) is an irregular pair.[8]. 98519 98533 98543 98561 98563 98573 98597 98621 98627 98639 42083 42089 42101 42131 42139 42157 42169 42179 42181 42187 66107 66109 66137 66161 66169 66173 66179 66191 66221 66239 Next we test 3. 29269 29287 29297 29303 29311 29327 29333 29339 29347 29363 89101 89107 89113 89119 89123 89137 89153 89189 89203 89209 We also have thousands of freeCodeCamp study groups around the world. Need help with printing or saving? 37511 37517 37529 37537 37547 37549 37561 37567 37571 37573 The First 10,000 Primes. 3p 1 1 (mod p2): 11, 1006003 (OEIS:A014127)[17][18][19] You also have the option to opt-out of these cookies. 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. b 3659 3671 3673 3677 3691 3697 3701 3709 3719 3727 77849 77863 77867 77893 77899 77929 77933 77951 77969 77977 10753 10771 10781 10789 10799 10831 10837 10847 10853 10859 P. Cox, Primes is in P P. J. Davis & R. Hersh, The Mathematical Experience, The Prime Number Theorem 104179 104183 104207 104231 104233 104239 104243 104281 104287 104297 11159 11161 11171 11173 11177 11197 11213 11239 11243 11251 16487 16493 16519 16529 16547 16553 16561 16567 16573 16603 47837 47843 47857 47869 47881 47903 47911 47917 47933 47939 120 numbers A prime number is a whole number greater than 1 whose only factors are 1 and itself. 64483 64489 64499 64513 64553 64567 64577 64579 64591 64601 12p 1 1 (mod p2): 2693, 123653 (OEIS:A111027) 21001 21011 21013 21017 21019 21023 21031 21059 21061 21067 5009 5011 5021 5023 5039 5051 5059 5077 5081 5087 Below are listed the first prime numbers of many named forms and types. 25307 25309 25321 25339 25343 25349 25357 25367 25373 25391 65687 65699 65701 65707 65713 65717 65719 65729 65731 65761 One example of creating a list of primes is to create a list which has the first N prime numbers. Primes that remain the same when their decimal digits are read backwards. 93809 93811 93827 93851 93871 93887 93889 93893 93901 93911 70663 70667 70687 70709 70717 70729 70753 70769 70783 70793 44021 44027 44029 44041 44053 44059 44071 44087 44089 44101 70457 70459 70481 70487 70489 70501 70507 70529 70537 70549 14771 14779 14783 14797 14813 14821 14827 14831 14843 14851 60923 60937 60943 60953 60961 61001 61007 61027 61031 61043 Eleven has just two factors: 1 and 11. 35407 35419 35423 35437 35447 35449 35461 35491 35507 35509 27457 27479 27481 27487 27509 27527 27529 27539 27541 27551 39341 39343 39359 39367 39371 39373 39383 39397 39409 39419 Lists of the first primes. 34267 34273 34283 34297 34301 34303 34313 34319 34327 34337 42569 42571 42577 42589 42611 42641 42643 42649 42667 42677 104677 104681 104683 104693 104701 104707 104711 104717 104723 104729 A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. Some sequences have alternate names: 4n+1 are Pythagorean primes, 4n+3 are the integer Gaussian primes, and 6n+5 are the Eisenstein primes (with 2 omitted). 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). 98887 98893 98897 98899 98909 98911 98927 98929 98939 98947 71597 71633 71647 71663 71671 71693 71699 71707 71711 71713 10 83401 83407 83417 83423 83431 83437 83443 83449 83459 83471 The first five prime numbers: 2, 3, 5, 7 and 11. 9p 1 1 (mod p2): 2, 11, 1006003 69313 69317 69337 69341 69371 69379 69383 69389 69401 69403 How long is it safe to use nicotine lozenges? 185, 253, 253, and 263. (OEIS A002385 ; Beiler 1964, p. 228). 2 92177 92179 92189 92203 92219 92221 92227 92233 92237 92243 This is also the jersey number of Angeles Dodger pitcher Sandy Koufax and former Heisman Trophy winner, OJ Simpson. 17p 1 1 (mod p2): 2, 3, 46021, 48947 (OEIS:A128668)[20] 44111 44119 44123 44129 44131 44159 44171 44179 44189 44201 74623 74653 74687 74699 74707 74713 74717 74719 74729 74731 1993 1997 1999 2003 2011 2017 2027 2029 2039 2053 57557 57559 57571 57587 57593 57601 57637 57641 57649 57653 Daniel I. 96337 96353 96377 96401 96419 96431 96443 96451 96457 96461 See also: Prime Numbers from 1-100 and 4-Digit Prime Numbers These are the Prime Numbers from 101~1000. 66509 66523 66529 66533 66541 66553 66569 66571 66587 66593 3187 3191 3203 3209 3217 3221 3229 3251 3253 3257 1663 1667 1669 1693 1697 1699 1709 1721 1723 1733 Of the form (an1)/(a1) for fixed integer a. So 4 is not prime (a number that is not prime is called composite). 96233 96259 96263 96269 96281 96289 96293 96323 96329 96331 32173 32183 32189 32191 32203 32213 32233 32237 32251 32257 p The number 1 is neither prime nor composite. 22549 22567 22571 22573 22613 22619 22621 22637 22639 22643 47237 47251 47269 47279 47287 47293 47297 47303 47309 47317 52817 52837 52859 52861 52879 52883 52889 52901 52903 52919 Free online prime number generator. 53597 53609 53611 53617 53623 53629 53633 53639 53653 53657 56813 56821 56827 56843 56857 56873 56891 56893 56897 56909 A circular prime number is a number that remains prime on any cyclic rotation of its digits (in base 10). 104087 104089 104107 104113 104119 104123 104147 104149 104161 104173 The digit 6 is in the prime number and in the correct spot. 59921 59929 59951 59957 59971 59981 59999 60013 60017 60029 a 8681 8689 8693 8699 8707 8713 8719 8731 8737 8741 We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step! 72859 72869 72871 72883 72889 72893 72901 72907 72911 72923 947 953 967 971 977 983 991 997 1009 1013 89867 89891 89897 89899 89909 89917 89923 89939 89959 89963 b So 9 is composite. There are 15 primes which are both left-truncatable and right-truncatable. 100267 100271 100279 100291 100297 100313 100333 100343 100357 100361 Three such primes are known; it is not known whether there are more.[13]. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Subsets of the prime numbers may be generated with various formulas for primes. Before I show you the list, here's how to generate a list of prime numbers of your own using a few popular languages. 26641 26647 26669 26681 26683 26687 26693 26699 26701 26711 A factor is a whole number that can be divided evenly into another number. 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). 44647 44651 44657 44683 44687 44699 44701 44711 44729 44741 68611 68633 68639 68659 68669 68683 68687 68699 68711 68713 Any permutation of the decimal digits is a prime. 14083 14087 14107 14143 14149 14153 14159 14173 14177 14197 Number : 2: 3: 5: 7: 11: 13 . All multiples of 5 will end in either 5 or 0 , and vulgar fractions with 5 or 2 in the denominator do not yield infinite decimal expansions because they are prime . 607 613 617 619 631 641 643 647 653 659 64853 64871 64877 64879 64891 64901 64919 64921 64927 64937 31607 31627 31643 31649 31657 31663 31667 31687 31699 31721 82013 82021 82031 82037 82039 82051 82067 82073 82129 82139 Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 73 79 83 89 97 101 103 107 109 113 Hence, 5 is a prime number but 8 is not a prime no, instead, it is a composite number. 53047 53051 53069 53077 53087 53089 53093 53101 53113 53117 6577 6581 6599 6607 6619 6637 6653 6659 6661 6673 30881 30893 30911 30931 30937 30941 30949 30971 30977 30983 mod Prime numbers list List of prime numbers up to 100: 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, . Donations to freeCodeCamp go toward our education initiatives, and help pay for servers, services, and staff. 60037 60041 60077 60083 60089 60091 60101 60103 60107 60127 Get a free sample copy of our Math Salamanders Dice Games book 6p 1 1 (mod p2): 66161, 534851, 3152573 (OEIS:A212583) List of Prime Numbers between 1 and 100 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 There are 25 prime numbers between 1 and 100. A Sophie Germain prime has a corresponding safe prime. 11p 1 1 (mod p2): 71[20] 48073 48079 48091 48109 48119 48121 48131 48157 48163 48179 x 12941 12953 12959 12967 12973 12979 12983 13001 13003 13007 Pick a random card from a deck. 11, 1111111111111111111 (19 digits), 11111111111111111111111 (23 digits) (OEIS:A004022), The next have 317, 1031, 49081, 86453, 109297, 270343 digits (OEIS:A004023). 102559 102563 102587 102593 102607 102611 102643 102647 102653 102667 87481 87491 87509 87511 87517 87523 87539 87541 87547 87553 76463 76471 76481 76487 76493 76507 76511 76519 76537 76541 89213 89227 89231 89237 89261 89269 89273 89293 89303 89317 78203 78229 78233 78241 78259 78277 78283 78301 78307 78311 Analytical cookies are used to understand how visitors interact with the website. 11677 11681 11689 11699 11701 11717 11719 11731 11743 11777 First Ten Natural Prime Numbers are - 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 Below is the list of prime numbers from 1 to 100, Figure - 1 Note 1 is a non-prime number because according to the definition, a prime number should contain only two factors but 1 has only one factor. 36973 36979 36997 37003 37013 37019 37021 37039 37049 37057 120 numbers Final answer: from the given digits 1,2,3,4,5 we can for 120 numbers which contain 5 digits. Primes p that divide 2n 1, for some prime number n. 3, 7, 23, 31, 47, 89, 127, 167, 223, 233, 263, 359, 383, 431, 439, 479, 503, 719, 839, 863, 887, 983, 1103, 1319, 1367, 1399, 1433, 1439, 1487, 1823, 1913, 2039, 2063, 2089, 2207, 2351, 2383, 2447, 2687, 2767, 2879, 2903, 2999, 3023, 3119, 3167, 3343 (OEIS:A122094). end. 23, 29, 59, 61, 67, 71, 79, 83, 109, 137, 139, 149, 193, 227, 233, 239, 251, 257, 269, 271, 277, 293, 307, 311, 317, 359, 379, 383, 389, 397, 401, 419, 431, 449, 461, 463, 467, 479, 499 (OEIS:A063980), 2, 17, 257, 1297, 65537, 160001, 331777, 614657, 1336337, 4477457, 5308417, 8503057, 9834497, 29986577, 40960001, 45212177, 59969537, 65610001, 126247697, 193877777, 303595777, 384160001, 406586897, 562448657, 655360001 (OEIS:A037896).
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