17099 17107 17117 17123 17137 17159 17167 17183 17189 17191 I assembled this list for my own uses as a programmer, and wanted to share it with you. 20477 20479 20483 20507 20509 20521 20533 20543 20549 20551 + 1 and n does not divide p 1. 42193 42197 42209 42221 42223 42227 42239 42257 42281 42283 47123 47129 47137 47143 47147 47149 47161 47189 47207 47221 is an Euler irregular pair. Built a function to check if a number startsWith a specified digit (startWith (12345,1) return true) Primes that are a cototient more often than any integer below it except 1. How many 5 digit prime numbers are there? 1381 1399 1409 1423 1427 1429 1433 1439 1447 1451 41809 41813 41843 41849 41851 41863 41879 41887 41893 41897 17579 17581 17597 17599 17609 17623 17627 17657 17659 17669 There are also many different questions about prime numbers answered, as well as information about the density of primes. Problem . 49871 49877 49891 49919 49921 49927 49937 49939 49943 49957 By definition a 10 digit prime is not "safe" of course. x 64483 64489 64499 64513 64553 64567 64577 64579 64591 64601 42083 42089 42101 42131 42139 42157 42169 42179 42181 42187 3823 3833 3847 3851 3853 3863 3877 3881 3889 3907 79087 79103 79111 79133 79139 79147 79151 79153 79159 79181 - Martin R. Apr 12, 2019 at 15:14. 74933 74941 74959 75011 75013 75017 75029 75037 75041 75079 79627 79631 79633 79657 79669 79687 79691 79693 79697 79699 Numbers that have only these two divisors are called primes. 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. 34543 34549 34583 34589 34591 34603 34607 34613 34631 34649 127 131 137 139 149 151 157 163 167 173 4663 4673 4679 4691 4703 4721 4723 4729 4733 4751 46327 46337 46349 46351 46381 46399 46411 46439 46441 46447 29453 29473 29483 29501 29527 29531 29537 29567 29569 29573 9p 1 1 (mod p2): 2, 11, 1006003 33721 33739 33749 33751 33757 33767 33769 33773 33791 33797 3083 3089 3109 3119 3121 3137 3163 3167 3169 3181 78317 78341 78347 78367 78401 78427 78437 78439 78467 78479 However 1 itself is not classed as a prime number. 78577 78583 78593 78607 78623 78643 78649 78653 78691 78697 The prime numbers table lists the first 1000 prime numbers from 2 to 8011. 70663 70667 70687 70709 70717 70729 70753 70769 70783 70793 70571 70573 70583 70589 70607 70619 70621 70627 70639 70657 103391 103393 103399 103409 103421 103423 103451 103457 103471 103483 54371 54377 54401 54403 54409 54413 54419 54421 54437 54443 61637 61643 61651 61657 61667 61673 61681 61687 61703 61717 1 How many 5 digit prime numbers are there? 2 ) 84223 84229 84239 84247 84263 84299 84307 84313 84317 84319 65167 65171 65173 65179 65183 65203 65213 65239 65257 65267 Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory.Mersenne primes, named after the friar Marin Mersenne, are prime numbers that can be expressed as 2 p 1 for some positive integer p.For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 1. 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Of the form 2 33347 33349 33353 33359 33377 33391 33403 33409 33413 33427 64217 64223 64231 64237 64271 64279 64283 64301 64303 64319 25111 25117 25121 25127 25147 25153 25163 25169 25171 25183 4327 4337 4339 4349 4357 4363 4373 4391 4397 4409 103991 103993 103997 104003 104009 104021 104033 104047 104053 104059 17789 17791 17807 17827 17837 17839 17851 17863 17881 17891 a 15161 15173 15187 15193 15199 15217 15227 15233 15241 15259 {\displaystyle {\tfrac {x^{3}-y^{3}}{x-y}}} 60133 60139 60149 60161 60167 60169 60209 60217 60223 60251 So there is always the search for the next "biggest known prime number". 76543 76561 76579 76597 76603 76607 76631 76649 76651 76667 26209 26227 26237 26249 26251 26261 26263 26267 26293 26297 71849 71861 71867 71879 71881 71887 71899 71909 71917 71933 11159 11161 11171 11173 11177 11197 11213 11239 11243 11251 120 numbers Final answer: from the given digits 1,2,3,4,5 we can for 120 numbers which contain 5 digits. 99149 99173 99181 99191 99223 99233 99241 99251 99257 99259 99859 99871 99877 99881 99901 99907 99923 99929 99961 99971 101723 101737 101741 101747 101749 101771 101789 101797 101807 101833 27091 27103 27107 27109 27127 27143 27179 27191 27197 27211 29173 29179 29191 29201 29207 29209 29221 29231 29243 29251 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). Primes containing only the decimal digit 1. 48187 48193 48197 48221 48239 48247 48259 48271 48281 48299 4507 4513 4517 4519 4523 4547 4549 4561 4567 4583 18521 18523 18539 18541 18553 18583 18587 18593 18617 18637 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, . 50383 50387 50411 50417 50423 50441 50459 50461 50497 50503 ( 15413 15427 15439 15443 15451 15461 15467 15473 15493 15497 47431 47441 47459 47491 47497 47501 47507 47513 47521 47527 A circular prime number is a number that remains prime on any cyclic rotation of its digits (in base 10). 63131 63149 63179 63197 63199 63211 63241 63247 63277 63281 The First 1,000 Primes. 36973 36979 36997 37003 37013 37019 37021 37039 37049 37057 81701 81703 81707 81727 81737 81749 81761 81769 81773 81799 54277 54287 54293 54311 54319 54323 54331 54347 54361 54367 80819 80831 80833 80849 80863 80897 80909 80911 80917 80923 Identify prime and composite numbers from the following list. gives a cyclic number. 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). So each of the five places can be similarly filled up in ten ways. 2, 3, 17, 137, 227, 977, 1187, 1493 (OEIS:A042978). 78809 78823 78839 78853 78857 78877 78887 78889 78893 78901 51907 51913 51929 51941 51949 51971 51973 51977 51991 52009 {\displaystyle {\frac {b^{p-1}-1}{p}}} 26407 26417 26423 26431 26437 26449 26459 26479 26489 26497 30491 30493 30497 30509 30517 30529 30539 30553 30557 30559 32611 32621 32633 32647 32653 32687 32693 32707 32713 32717 There are 15 primes which are both left-truncatable and right-truncatable. Write a C# program that lists all 5 digit prime numbers. 97441 97453 97459 97463 97499 97501 97511 97523 97547 97549 Many generalizations of Mersenne primes have been defined. 75403 75407 75431 75437 75479 75503 75511 75521 75527 75533 Prime Numbers. 100267 100271 100279 100291 100297 100313 100333 100343 100357 100361 27847 27851 27883 27893 27901 27917 27919 27941 27943 27947 69497 69499 69539 69557 69593 69623 69653 69661 69677 69691 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). 21649 21661 21673 21683 21701 21713 21727 21737 21739 21751 30347 30367 30389 30391 30403 30427 30431 30449 30467 30469 89213 89227 89231 89237 89261 89269 89273 89293 89303 89317 3, 5, 11, 17, 31, 41, 59, 67, 83, 109, 127, 157, 179, 191, 211, 241, 277, 283, 331, 353, 367, 401, 431, 461, 509, 547, 563, 587, 599, 617, 709, 739, 773, 797, 859, 877, 919, 967, 991 (OEIS:A006450). As of this writing, the largest known prime number has 24,862,048 digits. A cluster prime is a prime p such that every even natural number k p 3 is the difference of two primes not exceeding p. 3, 5, 7, 11, 13, 17, 19, 23, (OEIS:A038134). 22651 22669 22679 22691 22697 22699 22709 22717 22721 22727 n is a natural number (including 0) in the definitions. Subsets of the prime numbers may be generated with various formulas for primes. 70991 70997 70999 71011 71023 71039 71059 71069 71081 71089 24p 1 1 (mod p2): 5, 25633 2,[9] 3, 7, 11, 29, 47, 199, 521, 2207, 3571, 9349, 3010349, 54018521, 370248451, 6643838879, 119218851371, 5600748293801, 688846502588399, 32361122672259149 (OEIS:A005479), 3, 7, 13, 31, 37, 43, 67, 73, 79, 127, 151, 163, 193, 211, 223, 241, 283, 307, 331, 349, 367, 409, 421, 433, 463, 487, 541, 577, 601, 613, 619, 631, 643, 673, 727, 739, 769, 787, 823, 883, 937, 991, 997 (OEIS:A031157), 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, 2305843009213693951, 618970019642690137449562111, 162259276829213363391578010288127, 170141183460469231731687303715884105727 (OEIS:A000668). 88681 88721 88729 88741 88747 88771 88789 88793 88799 88801 <<<>>> List the first and last few: m#n 100003 100019 100043 100049 100057 100069 100103 100109 100129 100151 100153 100169 100183 10018. 71119 71129 71143 71147 71153 71161 71167 71171 71191 71209 8039 8053 8059 8069 8081 8087 8089 8093 8101 8111 72043 72047 72053 72073 72077 72089 72091 72101 72103 72109 17393 17401 17417 17419 17431 17443 17449 17467 17471 17477 We also have thousands of freeCodeCamp study groups around the world. One method is factorization. 92569 92581 92593 92623 92627 92639 92641 92647 92657 92669 68219 68227 68239 68261 68279 68281 68311 68329 68351 68371 89329 89363 89371 89381 89387 89393 89399 89413 89417 89431 40459 40471 40483 40487 40493 40499 40507 40519 40529 40531 The resulting set of factors will be prime since, for example, when 2 is exhausted all multiples of 2 are also exhausted. 49139 49157 49169 49171 49177 49193 49199 49201 49207 49211 88423 88427 88463 88469 88471 88493 88499 88513 88523 88547 32833 32839 32843 32869 32887 32909 32911 32917 32933 32939 48751 48757 48761 48767 48779 48781 48787 48799 48809 48817 13883 13901 13903 13907 13913 13921 13931 13933 13963 13967 101107 101111 101113 101117 101119 101141 101149 101159 101161 101173 19801 19813 19819 19841 19843 19853 19861 19867 19889 19891 5449 5471 5477 5479 5483 5501 5503 5507 5519 5521 Now, the remaining numbers on this list are prime numbers. Primes p for which there exist n>0 such that p divides n! E 38053 38069 38083 38113 38119 38149 38153 38167 38177 38183 15077 15083 15091 15101 15107 15121 15131 15137 15139 15149 43591 43597 43607 43609 43613 43627 43633 43649 43651 43661 85991 85999 86011 86017 86027 86029 86069 86077 86083 86111 1741 1747 1753 1759 1777 1783 1787 1789 1801 1811 3433 3449 3457 3461 3463 3467 3469 3491 3499 3511 They have been called two-sided primes. 62791 62801 62819 62827 62851 62861 62869 62873 62897 62903 29063 29077 29101 29123 29129 29131 29137 29147 29153 29167 93187 93199 93229 93239 93241 93251 93253 93257 93263 93281 48073 48079 48091 48109 48119 48121 48131 48157 48163 48179 giving all the prime numbers up to a certain value. 91309 91331 91367 91369 91373 91381 91387 91393 91397 91411 Of the form Primes p for which the binomial coefficient 58477 58481 58511 58537 58543 58549 58567 58573 58579 58601 Eight has four factors: 1, 2, 4 and 8. 68927 68947 68963 68993 69001 69011 69019 69029 69031 69061 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). 68821 68863 68879 68881 68891 68897 68899 68903 68909 68917 37199 37201 37217 37223 37243 37253 37273 37277 37307 37309 p 93407 93419 93427 93463 93479 93481 93487 93491 93493 93497 19231 19237 19249 19259 19267 19273 19289 19301 19309 19319 The number 1 is neither prime nor composite. 14951 14957 14969 14983 15013 15017 15031 15053 15061 15073 35311 35317 35323 35327 35339 35353 35363 35381 35393 35401 Note: The numbers 0 and 1 are not prime. The Math Salamanders hope you enjoy using these free printable Math worksheets There is also a Prime Number Calculator which will calculate all the prime numbers within chosen values up to a million. 88261 88289 88301 88321 88327 88337 88339 88379 88397 88411 64609 64613 64621 64627 64633 64661 64663 64667 64679 64693 All integers (except 0 and 1) have at least two divisors - 1 and the number itself. 84523 84533 84551 84559 84589 84629 84631 84649 84653 84659 Primes for which there are more prime permutations of some or all the decimal digits than for any smaller number. 26003 26017 26021 26029 26041 26053 26083 26099 26107 26111 13997 13999 14009 14011 14029 14033 14051 14057 14071 14081 2, 5, 11, 101, 181, 1181, 1811, 18181, 108881, 110881, 118081, 120121, Just specify how many primes you'll need and you'll automatically get that many primes. 16487 16493 16519 16529 16547 16553 16561 16567 16573 16603 90731 90749 90787 90793 90803 90821 90823 90833 90841 90847

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