53791 53813 53819 53831 53849 53857 53861 53881 53887 53891 78317 78341 78347 78367 78401 78427 78437 78439 78467 78479 947 953 967 971 977 983 991 997 1009 1013 32261 32297 32299 32303 32309 32321 32323 32327 32341 32353 0 62081 62099 62119 62129 62131 62137 62141 62143 62171 62189 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. 103511 103529 103549 103553 103561 103567 103573 103577 103583 103591 14771 14779 14783 14797 14813 14821 14827 14831 14843 14851 What other two military branches fall under the US Navy? 60133 60139 60149 60161 60167 60169 60209 60217 60223 60251 100829 100847 100853 100907 100913 100927 100931 100937 100943 100957 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). 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) Get a free sample copy of our Math Salamanders Dice Games book 87643 87649 87671 87679 87683 87691 87697 87701 87719 87721 81233 81239 81281 81283 81293 81299 81307 81331 81343 81349 - Just search on any (sufficiently large) public list of prime numbers. Take a look at some more of our worksheets similar to these. 8747 8753 8761 8779 8783 8803 8807 8819 8821 8831 Next we test 3. 17393 17401 17417 17419 17431 17443 17449 17467 17471 17477 [1], The Goldbach conjecture verification project reports that it has computed all primes below 41018. ( 4421 4423 4441 4447 4451 4457 4463 4481 4483 4493 Primes p such that neither p 2 nor p + 2 is prime. 81509 81517 81527 81533 81547 81551 81553 81559 81563 81569 Prime numbers (2,3,5,7,11,13,) - RapidTables.com 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). 71941 71947 71963 71971 71983 71987 71993 71999 72019 72031 You also have the option to opt-out of these cookies. The answer is that the largest known prime has over 17 million digits - far beyond even the very large numbers typically used in cryptography). This is the complete index for the prime curiosity collection--an exciting collection of curiosities, wonders and trivia related to prime numbers and integer factorization. Take a look at our Prime Number page which clearly describes what a prime numbers is and what they are not. with each donation! 87557 87559 87583 87587 87589 87613 87623 87629 87631 87641 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). Of the form 2u3v+1 for some integers u,v0. 38053 38069 38083 38113 38119 38149 38153 38167 38177 38183 23911 23917 23929 23957 23971 23977 23981 23993 24001 24007 84919 84947 84961 84967 84977 84979 84991 85009 85021 85027 This calculator uses the Sieve of Eratosthenes to calculate the prime numbers from and to any given numbers under a million. 3p 1 1 (mod p2): 11, 1006003 (OEIS:A014127)[17][18][19] 44647 44651 44657 44683 44687 44699 44701 44711 44729 44741 32611 32621 32633 32647 32653 32687 32693 32707 32713 32717 65393 65407 65413 65419 65423 65437 65447 65449 65479 65497 One method is factorization. 11159 11161 11171 11173 11177 11197 11213 11239 11243 11251 2371 2377 2381 2383 2389 2393 2399 2411 2417 2423 37511 37517 37529 37537 37547 37549 37561 37567 37571 37573 Is 1 a prime number? 48073 48079 48091 48109 48119 48121 48131 48157 48163 48179 51691 51713 51719 51721 51749 51767 51769 51787 51797 51803 52817 52837 52859 52861 52879 52883 52889 52901 52903 52919 As of 2018[update], these are all known Wieferich primes with a 25. ( 92177 92179 92189 92203 92219 92221 92227 92233 92237 92243 28057 28069 28081 28087 28097 28099 28109 28111 28123 28151 b 40093 40099 40111 40123 40127 40129 40151 40153 40163 40169 2, 3, 17, 137, 227, 977, 1187, 1493 (OEIS:A042978). Of the form 2a2b1, where 0Circular Prime -- from Wolfram MathWorld 37199 37201 37217 37223 37243 37253 37273 37277 37307 37309 Zero and 1 are not considered prime numbers. 94117 94121 94151 94153 94169 94201 94207 94219 94229 94253 10009 10037 10039 10061 10067 10069 10079 10091 10093 10099 34033 34039 34057 34061 34123 34127 34129 34141 34147 34157 ( 25p 1 1 (mod p2): 2, 20771, 40487, 53471161, 1645333507, 6692367337, 188748146801. 8389 8419 8423 8429 8431 8443 8447 8461 8467 8501 74527 74531 74551 74561 74567 74573 74587 74597 74609 74611 29927 29947 29959 29983 29989 30011 30013 30029 30047 30059 Advertisement. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. 42569 42571 42577 42589 42611 42641 42643 42649 42667 42677 39551 39563 39569 39581 39607 39619 39623 39631 39659 39667 7307 7309 7321 7331 7333 7349 7351 7369 7393 7411 11351 11353 11369 11383 11393 11399 11411 11423 11437 11443 Any number greater than 5 that ends in a 5 can be divided by 5. 23039 23041 23053 23057 23059 23063 23071 23081 23087 23099 or 300 digits) Primes just less than a power of two. 58067 58073 58099 58109 58111 58129 58147 58151 58153 58169 47237 47251 47269 47279 47287 47293 47297 47303 47309 47317 Is the prime factorization of 220? 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511 Factors of 220 are integers that can be divided evenly into 220. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. 66851 66853 66863 66877 66883 66889 66919 66923 66931 66943 71597 71633 71647 71663 71671 71693 71699 71707 71711 71713 Here is the list of composite numbers from 1 to 100 in Maths. 57193 57203 57221 57223 57241 57251 57259 57269 57271 57283 52511 52517 52529 52541 52543 52553 52561 52567 52571 52579 If the sum of a number's digits is a multiple of 3, that number can be divided by 3. 73 79 83 89 97 101 103 107 109 113 p Numbers that have more than two factors are called composite numbers. A prime 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 . 53353 53359 53377 53381 53401 53407 53411 53419 53437 53441 The first 10 million prime numbers. 26209 26227 26237 26249 26251 26261 26263 26267 26293 26297 But opting out of some of these cookies may affect your browsing experience. 29581 29587 29599 29611 29629 29633 29641 29663 29669 29671 38723 38729 38737 38747 38749 38767 38783 38791 38803 38821 15p 1 1 (mod p2): 29131, 119327070011 (OEIS:A242741) 59239 59243 59263 59273 59281 59333 59341 59351 59357 59359 Of the form pn#+1 (a subset of primorial primes). 41681 41687 41719 41729 41737 41759 41761 41771 41777 41801 89633 89653 89657 89659 89669 89671 89681 89689 89753 89759 76091 76099 76103 76123 76129 76147 76157 76159 76163 76207 Daniel I. 5 85487 85513 85517 85523 85531 85549 85571 85577 85597 85601 PrimePages: prime number research records and results 5p 1 1 (mod p2): 2, 20771, 40487, 53471161, 1645333507, 6692367337, 188748146801 (OEIS:A123692) Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. As of 2018[update], this class of prime numbers also contains the largest known prime: M82589933, the 51st known Mersenne prime. Primes p for which p2 divides (p1)! 79087 79103 79111 79133 79139 79147 79151 79153 79159 79181 The digit 6 is in the prime number and in the correct spot. 75403 75407 75431 75437 75479 75503 75511 75521 75527 75533 Prime Curios! Index: Numbers with 5 digits - PrimePages The nth prime number is denoted as Prime[n], so Prime[1] = 2, Prime[2] = 3, Prime[3] = 5, and so on. A prime number is a natural number with two positive divisors or factors, unity and the number itself. Fn = Fn1 + Fn2. 70913 70919 70921 70937 70949 70951 70957 70969 70979 70981 29453 29473 29483 29501 29527 29531 29537 29567 29569 29573 6n+1: 7, 13, 19, 31, 37, 43, 61, 67, 73, 79, 97, 103, 109, 127, 139 (OEIS:A002476) 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 . 2437 2441 2447 2459 2467 2473 2477 2503 2521 2531 There are a total of 168 prime numbers between 1 to 1000. [6], a = 2: 3, 5, 17, 257, 65537 (OEIS:A019434). All Mersenne primes are, by definition, members of this sequence. 23747 23753 23761 23767 23773 23789 23801 23813 23819 23827 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). 53129 53147 53149 53161 53171 53173 53189 53197 53201 53231 77849 77863 77867 77893 77899 77929 77933 77951 77969 77977 1597 1601 1607 1609 1613 1619 1621 1627 1637 1657 is an Euler irregular pair. 42461 42463 42467 42473 42487 42491 42499 42509 42533 42557 31 37 41 43 47 53 59 61 67 71 101939 101957 101963 101977 101987 101999 102001 102013 102019 102023 47431 47441 47459 47491 47497 47501 47507 47513 47521 47527 38833 38839 38851 38861 38867 38873 38891 38903 38917 38921 26113 26119 26141 26153 26161 26171 26177 26183 26189 26203 31267 31271 31277 31307 31319 31321 31327 31333 31337 31357 for some 54133 54139 54151 54163 54167 54181 54193 54217 54251 54269 104549 104551 104561 104579 104593 104597 104623 104639 104651 104659 42293 42299 42307 42323 42331 42337 42349 42359 42373 42379 Some Important Points about Prime Numbers This has been used to compute that there are 1,925,320,391,606,803,968,923 primes (roughly 21021) below 1023. What are the conflicts in A Christmas Carol? There is also a Prime Number Calculator which will calculate all the prime numbers within chosen values up to a million. 10 Prime Numbers 1 - 10,000,000 - Core 66271 66293 66301 66337 66343 66347 66359 66361 66373 66377 20p 1 1 (mod p2): 281, 46457, 9377747, 122959073 (OEIS:A242982) 68491 68501 68507 68521 68531 68539 68543 68567 68581 68597 A Prime Number is: (if we can make it by multiplying other whole numbers it is a Composite Number) Here we see it in action: 2 is Prime, 3 is Prime, 4 is Composite (=22), 5 is Prime, and so on. 55339 55343 55351 55373 55381 55399 55411 55439 55441 55457 66947 66949 66959 66973 66977 67003 67021 67033 67043 67049 46751 46757 46769 46771 46807 46811 46817 46819 46829 46831 24781 24793 24799 24809 24821 24841 24847 24851 24859 24877 DH with that prime is quite easily breakable. However 1 itself is not classed as a prime number. ) 36067 36073 36083 36097 36107 36109 36131 36137 36151 36161 What are examples of a 10 digit safe prime number? 60923 60937 60943 60953 60961 61001 61007 61027 61031 61043 100,000 - Wikipedia 38923 38933 38953 38959 38971 38977 38993 39019 39023 39041 47639 47653 47657 47659 47681 47699 47701 47711 47713 47717 38557 38561 38567 38569 38593 38603 38609 38611 38629 38639 61723 61729 61751 61757 61781 61813 61819 61837 61843 61861 One example of creating a list of primes is to create a list which has the first N prime numbers. 73999 74017 74021 74027 74047 74051 74071 74077 74093 74099 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). 2 96233 96259 96263 96269 96281 96289 96293 96323 96329 96331 x 67477 67481 67489 67493 67499 67511 67523 67531 67537 67547 48619 48623 48647 48649 48661 48673 48677 48679 48731 48733 . 86753 86767 86771 86783 86813 86837 86843 86851 86857 86861 with 94693 94709 94723 94727 94747 94771 94777 94781 94789 94793 19577 19583 19597 19603 19609 19661 19681 19687 19697 19699 Before I show you the list, here's how to generate a list of prime numbers of your own using a few popular languages. Find out how old you are to the nearest second! 1823 1831 1847 1861 1867 1871 1873 1877 1879 1889 4. 56197 56207 56209 56237 56239 56249 56263 56267 56269 56299 19231 19237 19249 19259 19267 19273 19289 19301 19309 19319 A palindromic prime is a number that is simultaneously palindromic and prime. 41189 41201 41203 41213 41221 41227 41231 41233 41243 41257 34651 34667 34673 34679 34687 34693 34703 34721 34729 34739 81931 81937 81943 81953 81967 81971 81973 82003 82007 82009 Note that, despite this, you probably shouldn't include 0 in the starting guess (e.g. Write the smallest 5-digit number and express it in the form of its prime factors by tree diagram. a 75323 75329 75337 75347 75353 75367 75377 75389 75391 75401 This form is prime for all positive integers n. 2, 11, 1361, 2521008887, 16022236204009818131831320183 (OEIS:A051254). 33809 33811 33827 33829 33851 33857 33863 33871 33889 33893 Calculator Use. 94907 94933 94949 94951 94961 94993 94999 95003 95009 95021 102829 102841 102859 102871 102877 102881 102911 102913 102929 102931 21283 21313 21317 21319 21323 21341 21347 21377 21379 21383 81353 81359 81371 81373 81401 81409 81421 81439 81457 81463 5 Digit Prime Numbers List - PrimeNumbersList.com 50767 50773 50777 50789 50821 50833 50839 50849 50857 50867 87973 87977 87991 88001 88003 88007 88019 88037 88069 88079 1381 1399 1409 1423 1427 1429 1433 1439 1447 1451 World's simplest math tool. 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. that divides Euler number 74101 74131 74143 74149 74159 74161 74167 74177 74189 74197 100981 100987 100999 101009 101021 101027 101051 101063 101081 101089 90379 90397 90401 90403 90407 90437 90439 90469 90473 90481 89867 89891 89897 89899 89909 89917 89923 89939 89959 89963 38377 38393 38431 38447 38449 38453 38459 38461 38501 38543 100483 100493 100501 100511 100517 100519 100523 100537 100547 100549 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. 84787 84793 84809 84811 84827 84857 84859 84869 84871 84913 13009 13033 13037 13043 13049 13063 13093 13099 13103 13109 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. 72139 72161 72167 72169 72173 72211 72221 72223 72227 72229 97171 97177 97187 97213 97231 97241 97259 97283 97301 97303 2 16073 16087 16091 16097 16103 16111 16127 16139 16141 16183 24979 24989 25013 25031 25033 25037 25057 25073 25087 25097 A prime number is called circular if it remains prime after any cyclic permutation of its digits. There are exactly fifteen two-sided primes: 2, 3, 5, 7, 23, 37, 53, 73, 313, 317, 373, 797, 3137, 3797, 739397 (OEIS:A020994), (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), (149, 151), (179, 181), (191, 193), (197, 199), (227, 229), (239, 241), (269, 271), (281, 283), (311, 313), (347, 349), (419, 421), (431, 433), (461, 463) (OEIS:A001359, OEIS:A006512). 56813 56821 56827 56843 56857 56873 56891 56893 56897 56909 Using Python to Create List of Prime Numbers - The Programming Expert 7727 7741 7753 7757 7759 7789 7793 7817 7823 7829