37199 37201 37217 37223 37243 37253 37273 37277 37307 37309 P. Cox, Primes is in P P. J. Davis & R. Hersh, The Mathematical Experience, The Prime Number Theorem 15973 15991 16001 16007 16033 16057 16061 16063 16067 16069 70229 70237 70241 70249 70271 70289 70297 70309 70313 70321 1741 1747 1753 1759 1777 1783 1787 1789 1801 1811 69827 69829 69833 69847 69857 69859 69877 69899 69911 69929 Roll. 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073, 99194853094755497, 1066340417491710595814572169, 19134702400093278081449423917 (OEIS:A005478). 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511 50077 50087 50093 50101 50111 50119 50123 50129 50131 50147 19577 19583 19597 19603 19609 19661 19681 19687 19697 19699 Do you know how old you arein weeks? 84443 84449 84457 84463 84467 84481 84499 84503 84509 84521 87337 87359 87383 87403 87407 87421 87427 87433 87443 87473 1 How many 5 digit prime numbers are there? A circular prime number is a number that remains prime on any cyclic rotation of its digits (in base 10). Here is the list of composite numbers from 1 to 100 in Maths. 4943 4951 4957 4967 4969 4973 4987 4993 4999 5003 All Mersenne primes are, by definition, members of this sequence. 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. 15p 1 1 (mod p2): 29131, 119327070011 (OEIS:A242741) 5449 5471 5477 5479 5483 5501 5503 5507 5519 5521 17393 17401 17417 17419 17431 17443 17449 17467 17471 17477 We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page. So each of the five places can be similarly filled up in ten ways. 95651 95701 95707 95713 95717 95723 95731 95737 95747 95773 {\displaystyle {{2p-1} \choose {p-1}}\equiv 1{\pmod {p^{4}}}.}. Find if the number 53 is considered a prime number or not. So 10 is composite. 79627 79631 79633 79657 79669 79687 79691 79693 79697 79699 73637 73643 73651 73673 73679 73681 73693 73699 73709 73721 16921 16927 16931 16937 16943 16963 16979 16981 16987 16993 90989 90997 91009 91019 91033 91079 91081 91097 91099 91121 Hence, 5 is a prime number but 8 is not a prime no, instead, it is a composite number. 11677 11681 11689 11699 11701 11717 11719 11731 11743 11777 49363 49367 49369 49391 49393 49409 49411 49417 49429 49433 21391 21397 21401 21407 21419 21433 21467 21481 21487 21491 26209 26227 26237 26249 26251 26261 26263 26267 26293 26297 If you read this far, tweet to the author to show them you care. 4327 4337 4339 4349 4357 4363 4373 4391 4397 4409 50599 50627 50647 50651 50671 50683 50707 50723 50741 50753 Hit the enter button to submit. Next we test 6. 54881 54907 54917 54919 54941 54949 54959 54973 54979 54983 25703 25717 25733 25741 25747 25759 25763 25771 25793 25799 87973 87977 87991 88001 88003 88007 88019 88037 88069 88079 27773 27779 27791 27793 27799 27803 27809 27817 27823 27827 8p 1 1 (mod p2): 3, 1093, 3511 This is also the jersey number of Angeles Dodger pitcher Sandy Koufax and former Heisman Trophy winner, OJ Simpson. 39229 39233 39239 39241 39251 39293 39301 39313 39317 39323 83269 83273 83299 83311 83339 83341 83357 83383 83389 83399 65687 65699 65701 65707 65713 65717 65719 65729 65731 65761 53897 53899 53917 53923 53927 53939 53951 53959 53987 53993 Subsets of the prime numbers may be generated with various formulas for primes. 94693 94709 94723 94727 94747 94771 94777 94781 94789 94793 55871 55889 55897 55901 55903 55921 55927 55931 55933 55949 Return from First 5 Prime Numbers page to Math Salamanders Homepage. 54767 54773 54779 54787 54799 54829 54833 54851 54869 54877 Two examples of twin prime numbers are: (3, 5); here 3, 5 are prime numbers and 4 is the composite number between them. All odd primes between 3 and 89, inclusive, are cluster primes. 33721 33739 33749 33751 33757 33767 33769 33773 33791 33797 15329 15331 15349 15359 15361 15373 15377 15383 15391 15401 Definition : A prime number is a number that is greater than 1 and is only divisible by 1 and itself. 52021 52027 52051 52057 52067 52069 52081 52103 52121 52127 - Just search on any (sufficiently large) public list of prime numbers. 66733 66739 66749 66751 66763 66791 66797 66809 66821 66841 94117 94121 94151 94153 94169 94201 94207 94219 94229 94253 31723 31727 31729 31741 31751 31769 31771 31793 31799 31817 60631 60637 60647 60649 60659 60661 60679 60689 60703 60719 23459 23473 23497 23509 23531 23537 23539 23549 23557 23561 71399 71411 71413 71419 71429 71437 71443 71453 71471 71473 99401 99409 99431 99439 99469 99487 99497 99523 99527 99529 47339 47351 47353 47363 47381 47387 47389 47407 47417 47419 36787 36791 36793 36809 36821 36833 36847 36857 36871 36877 99859 99871 99877 99881 99901 99907 99923 99929 99961 99971 45541 45553 45557 45569 45587 45589 45599 45613 45631 45641 97039 97073 97081 97103 97117 97127 97151 97157 97159 97169 13009 13033 13037 13043 13049 13063 13093 13099 13103 13109 p p (In fact, there are exactly 180, 340, 017, 203 . 6577 6581 6599 6607 6619 6637 6653 6659 6661 6673 Next we test 4. 38287 38299 38303 38317 38321 38327 38329 38333 38351 38371 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373 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. 56611 56629 56633 56659 56663 56671 56681 56687 56701 56711 68821 68863 68879 68881 68891 68897 68899 68903 68909 68917 48187 48193 48197 48221 48239 48247 48259 48271 48281 48299 The probability of the existence of another Fermat prime is less than one in a billion. 61463 61469 61471 61483 61487 61493 61507 61511 61519 61543 39139 39157 39161 39163 39181 39191 39199 39209 39217 39227 30253 30259 30269 30271 30293 30307 30313 30319 30323 30341 Problem . p 50989 50993 51001 51031 51043 51047 51059 51061 51071 51109 34033 34039 34057 34061 34123 34127 34129 34141 34147 34157 6n+1: 7, 13, 19, 31, 37, 43, 61, 67, 73, 79, 97, 103, 109, 127, 139 (OEIS:A002476) 61339 61343 61357 61363 61379 61381 61403 61409 61417 61441 24317 24329 24337 24359 24371 24373 24379 24391 24407 24413 90863 90887 90901 90907 90911 90917 90931 90947 90971 90977 22961 22963 22973 22993 23003 23011 23017 23021 23027 23029 10589 10597 10601 10607 10613 10627 10631 10639 10651 10657 3 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 42293 42299 42307 42323 42331 42337 42349 42359 42373 42379 70913 70919 70921 70937 70949 70951 70957 70969 70979 70981 21089 21101 21107 21121 21139 21143 21149 21157 21163 21169 103231 103237 103289 103291 103307 103319 103333 103349 103357 103387 77557 77563 77569 77573 77587 77591 77611 77617 77621 77641 40093 40099 40111 40123 40127 40129 40151 40153 40163 40169 67679 67699 67709 67723 67733 67741 67751 67757 67759 67763 32261 32297 32299 32303 32309 32321 32323 32327 32341 32353 79301 79309 79319 79333 79337 79349 79357 79367 79379 79393 7573 7577 7583 7589 7591 7603 7607 7621 7639 7643 Four has three factors: 1, 2 and 4. 10n+1: 11, 31, 41, 61, 71, 101, 131, 151, 181, 191, 211, 241, 251, 271, 281 (OEIS:A030430) 6p 1 1 (mod p2): 66161, 534851, 3152573 (OEIS:A212583) 102673 102677 102679 102701 102761 102763 102769 102793 102797 102811 35869 35879 35897 35899 35911 35923 35933 35951 35963 35969 52817 52837 52859 52861 52879 52883 52889 52901 52903 52919 The image below shows this list. 88093 88117 88129 88169 88177 88211 88223 88237 88241 88259 28163 28181 28183 28201 28211 28219 28229 28277 28279 28283 5393 5399 5407 5413 5417 5419 5431 5437 5441 5443 65167 65171 65173 65179 65183 65203 65213 65239 65257 65267 Largest known prime number. 17579 17581 17597 17599 17609 17623 17627 17657 17659 17669 The third prime number, p3 = 5. 60037 60041 60077 60083 60089 60091 60101 60103 60107 60127 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, 71, 73, 79, 83, 89, 97, 107, 109, 113, 127, 137, 139, 151, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 239, 241, 251, 269, 277, 281 (OEIS:A007703). 9643 9649 9661 9677 9679 9689 9697 9719 9721 9733 75539 75541 75553 75557 75571 75577 75583 75611 75617 75619 So 9 is composite. 100829 100847 100853 100907 100913 100927 100931 100937 100943 100957 41113 41117 41131 41141 41143 41149 41161 41177 41179 41183 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). 85133 85147 85159 85193 85199 85201 85213 85223 85229 85237 They are: 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]. 41681 41687 41719 41729 41737 41759 41761 41771 41777 41801 13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, 311, 337, 347, 359, 389, 701, 709, 733, 739, 743, 751, 761, 769, 907, 937, 941, 953, 967, 971, 983, 991 (OEIS:A006567). It has total 12 factors of which 220 is the biggest factor and the prime factors of 220 are 2, 5, 11. 26641 26647 26669 26681 26683 26687 26693 26699 26701 26711 The First 10,008 Twin Primes. 34159 34171 34183 34211 34213 34217 34231 34253 34259 34261 4073 4079 4091 4093 4099 4111 4127 4129 4133 4139 17321 17327 17333 17341 17351 17359 17377 17383 17387 17389 70457 70459 70481 70487 70489 70501 70507 70529 70537 70549 1. The reverse of Jordan's 23, the No. 21283 21313 21317 21319 21323 21341 21347 21377 21379 21383 5281 5297 5303 5309 5323 5333 5347 5351 5381 5387 Example: 2, 3, 5, 7, 11, 13, 17, are prime numbers. 64483 64489 64499 64513 64553 64567 64577 64579 64591 64601 is defined as. If you are a regular user of our site and appreciate what we do, 11257 11261 11273 11279 11287 11299 11311 11317 11321 11329 Idea is to generate all prime numbers smaller . 44021 44027 44029 44041 44053 44059 44071 44087 44089 44101 This cookie is set by GDPR Cookie Consent plugin. 31379 31387 31391 31393 31397 31469 31477 31481 31489 31511 Identify prime and composite numbers from the following list. 19801 19813 19819 19841 19843 19853 19861 19867 19889 19891 74623 74653 74687 74699 74707 74713 74717 74719 74729 74731 The complete list: 2, 3, 5, 7, 23, 37, 53, 73, 313, 317, 373, 797, 3137, 3797, 739397 (sequence A020994 in the OEIS) 13417 13421 13441 13451 13457 13463 13469 13477 13487 13499 Three such primes are known; it is not known whether there are more.[13]. 19993 19997 20011 20021 20023 20029 20047 20051 20063 20071 49871 49877 49891 49919 49921 49927 49937 49939 49943 49957 31121 31123 31139 31147 31151 31153 31159 31177 31181 31183 14713 14717 14723 14731 14737 14741 14747 14753 14759 14767 5 13627 13633 13649 13669 13679 13681 13687 13691 13693 13697 47837 47843 47857 47869 47881 47903 47911 47917 47933 47939 Numbers that have more than two factors are called composite numbers. Now testing 11. (OEIS A068652 ). The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. 80273 80279 80287 80309 80317 80329 80341 80347 80363 80369 x 41609 41611 41617 41621 41627 41641 41647 41651 41659 41669 43669 43691 43711 43717 43721 43753 43759 43777 43781 43783 The 13th, 14th, and 51st have respectively 157, 183, and 24,862,048 digits. 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. 85243 85247 85259 85297 85303 85313 85331 85333 85361 85363 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. 1 - 999,999 1,000,000 - 1,999,999 2,000,000 - 2,999,999 3,000,000 - 3,999,999 4,000,000 - 4,999,999 5,000,000 - 5,999,999 The resulting set of factors will be prime since, for example, when 2 is exhausted all multiples of 2 are also exhausted. 44111 44119 44123 44129 44131 44159 44171 44179 44189 44201 74933 74941 74959 75011 75013 75017 75029 75037 75041 75079