86201 86209 86239 86243 86249 86257 86263 86269 86287 86291 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511 45413 45427 45433 45439 45481 45491 45497 45503 45523 45533 26893 26903 26921 26927 26947 26951 26953 26959 26981 26987 49871 49877 49891 49919 49921 49927 49937 49939 49943 49957 68729 68737 68743 68749 68767 68771 68777 68791 68813 68819 93407 93419 93427 93463 93479 93481 93487 93491 93493 93497 60923 60937 60943 60953 60961 61001 61007 61027 61031 61043 68099 68111 68113 68141 68147 68161 68171 68207 68209 68213 62311 62323 62327 62347 62351 62383 62401 62417 62423 62459 or 300 digits) Primes just less than a power of two. p 70991 70997 70999 71011 71023 71039 71059 71069 71081 71089 5p 1 1 (mod p2): 2, 20771, 40487, 53471161, 1645333507, 6692367337, 188748146801 (OEIS:A123692) 14327 14341 14347 14369 14387 14389 14401 14407 14411 14419 Here is a list of all the prime numbers up to 1,000: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 . Two numbers are relatively prime (coprime) if they have no common factor greater than 1. gives a cyclic number. 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. 23209 23227 23251 23269 23279 23291 23293 23297 23311 23321 98641 98663 98669 98689 98711 98713 98717 98729 98731 98737 33223 33247 33287 33289 33301 33311 33317 33329 33331 33343 102953 102967 102983 103001 103007 103043 103049 103067 103069 103079 96137 96149 96157 96167 96179 96181 96199 96211 96221 96223 16411 16417 16421 16427 16433 16447 16451 16453 16477 16481 1000 Prime Numbers - CalculatorSoup 26003 26017 26021 26029 26041 26053 26083 26099 26107 26111 The complete list: 2, 3, 5, 7, 23, 37, 53, 73, 313, 317, 373, 797, 3137, 3797, 739397 (sequence A020994 in the OEIS) 103087 103091 103093 103099 103123 103141 103171 103177 103183 103217 82013 82021 82031 82037 82039 82051 82067 82073 82129 82139 63649 63659 63667 63671 63689 63691 63697 63703 63709 63719 There are a total of 168 prime numbers between 1 to 1000. Five has just two factors: 1 and 5. 85487 85513 85517 85523 85531 85549 85571 85577 85597 85601 37061 37087 37097 37117 37123 37139 37159 37171 37181 37189 Pn=2Pn1+Pn2. A prime number is a whole number greater than 1 whose only factors are 1 and itself. There are also many different questions about prime numbers answered, as well as information about the density of primes. 18061 18077 18089 18097 18119 18121 18127 18131 18133 18143 85243 85247 85259 85297 85303 85313 85331 85333 85361 85363 56197 56207 56209 56237 56239 56249 56263 56267 56269 56299 0 104179 104183 104207 104231 104233 104239 104243 104281 104287 104297 67679 67699 67709 67723 67733 67741 67751 67757 67759 67763 3, 5, 7, 31, 53, 97, 211, 233, 277, 367, 389, 457, 479, 547, 569, 613, 659, 727, 839, 883, 929, 1021, 1087, 1109, 1223, 1289, 1447, 1559, 1627, 1693, 1783, 1873 (OEIS:A006378), (5, 11), (7, 13), (11, 17), (13, 19), (17, 23), (23, 29), (31, 37), (37, 43), (41, 47), (47, 53), (53, 59), (61, 67), (67, 73), (73, 79), (83, 89), (97, 103), (101, 107), (103, 109), (107, 113), (131, 137), (151, 157), (157, 163), (167, 173), (173, 179), (191, 197), (193, 199) (OEIS:A023201, OEIS:A046117). 62191 62201 62207 62213 62219 62233 62273 62297 62299 62303 77731 77743 77747 77761 77773 77783 77797 77801 77813 77839 Number Lists. 26407 26417 26423 26431 26437 26449 26459 26479 26489 26497 104417 104459 104471 104473 104479 104491 104513 104527 104537 104543 Input any value into our Find Prime Numbers Calculator and it will find all the primes up to and including your value. These cookies will be stored in your browser only with your consent. 96469 96479 96487 96493 96497 96517 96527 96553 96557 96581 13627 13633 13649 13669 13679 13681 13687 13691 13693 13697 98953 98963 98981 98993 98999 99013 99017 99023 99041 99053 82141 82153 82163 82171 82183 82189 82193 82207 82217 82219 29063 29077 29101 29123 29129 29131 29137 29147 29153 29167 86381 86389 86399 86413 86423 86441 86453 86461 86467 86477 25p 1 1 (mod p2): 2, 20771, 40487, 53471161, 1645333507, 6692367337, 188748146801. Answer (1 of 4): Brute force solution, using the J programming language: +/m=.1 p:n=.1e5 to 1e6 68906 The answer is that there are 68,906 6-digit primes. Prime Numbers - Facts, Examples, & Table Of All Up To 1,000 - Fact Monster 55799 55807 55813 55817 55819 55823 55829 55837 55843 55849 So 4 is not prime (a number that is not prime is called composite). 53681 53693 53699 53717 53719 53731 53759 53773 53777 53783 24781 24793 24799 24809 24821 24841 24847 24851 24859 24877 So there is always the search for the next "biggest known prime number". 9739 9743 9749 9767 9769 9781 9787 9791 9803 9811 69193 69197 69203 69221 69233 69239 69247 69257 69259 69263 10463 10477 10487 10499 10501 10513 10529 10531 10559 10567 89633 89653 89657 89659 89669 89671 89681 89689 89753 89759 . Subsets of the prime numbers may be generated with various formulas for primes. 10000 26209 26227 26237 26249 26251 26261 26263 26267 26293 26297 Not a single prime number greater than 5 ends with a 5. 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. Throw a Dice. Eratosthenes was a Greek mathematician (as well as being a poet, an astronomer and musician) who lived from about 276BC to 194BC. p 44959 44963 44971 44983 44987 45007 45013 45053 45061 45077 88589 88591 88607 88609 88643 88651 88657 88661 88663 88667 2, 3, 5, 7, 17, 29, 277, 367, 853, 14197, 43721, 1442968193, 792606555396977, 187278659180417234321, 66241160488780141071579864797 (OEIS:A074788). ) 10103 10111 10133 10139 10141 10151 10159 10163 10169 10177 16921 16927 16931 16937 16943 16963 16979 16981 16987 16993 Write a C# program that lists all 5 digit prime numbers. 84131 84137 84143 84163 84179 84181 84191 84199 84211 84221 34267 34273 34283 34297 34301 34303 34313 34319 34327 34337 2, 3, 5, 7, 23, 29, 31, 37, 53, 59, 71, 73, 79, 233, 239, 293, 311, 313, 317, 373, 379, 593, 599, 719, 733, 739, 797, 2333, 2339, 2393, 2399, 2939, 3119, 3137, 3733, 3739, 3793, 3797 (OEIS:A024770). 32429 32441 32443 32467 32479 32491 32497 32503 32507 32531 83477 83497 83537 83557 83561 83563 83579 83591 83597 83609 with 86869 86923 86927 86929 86939 86951 86959 86969 86981 86993 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. 5 - Wikipedia 28591 28597 28603 28607 28619 28621 28627 28631 28643 28649 Spin a wheel to pick a name, number, or a winner. 30139 30161 30169 30181 30187 30197 30203 30211 30223 30241 3823 3833 3847 3851 3853 3863 3877 3881 3889 3907 85607 85619 85621 85627 85639 85643 85661 85667 85669 85691 The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. 90053 90059 90067 90071 90073 90089 90107 90121 90127 90149 2749 2753 2767 2777 2789 2791 2797 2801 2803 2819 Idea is to generate all prime numbers smaller . 17203 17207 17209 17231 17239 17257 17291 17293 17299 17317 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). 54881 54907 54917 54919 54941 54949 54959 54973 54979 54983 How many prime numbers are between 1 and 1000? 73019 73037 73039 73043 73061 73063 73079 73091 73121 73127 62467 62473 62477 62483 62497 62501 62507 62533 62539 62549 9013 9029 9041 9043 9049 9059 9067 9091 9103 9109 How to Find Prime Numbers? - BYJU'S Online learning Programs For K3 92761 92767 92779 92789 92791 92801 92809 92821 92831 92849 68491 68501 68507 68521 68531 68539 68543 68567 68581 68597 80177 80191 80207 80209 80221 80231 80233 80239 80251 80263 (the 10,000th is 104,729) Semiprime -- from Wolfram MathWorld Given an integer D, the task is to find all the prime numbers having D digits. 58897 58901 58907 58909 58913 58921 58937 58943 58963 58967 63131 63149 63179 63197 63199 63211 63241 63247 63277 63281 - Martin R. Apr 12, 2019 at 15:14. 13417 13421 13441 13451 13457 13463 13469 13477 13487 13499 1153 1163 1171 1181 1187 1193 1201 1213 1217 1223 Primes with equal-sized prime gaps above and below them, so that they are equal to the arithmetic mean of the nearest primes above and below. Seven has just two factors: 1 and 7. Next onto 8. 42461 42463 42467 42473 42487 42491 42499 42509 42533 42557 . 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14741 (OEIS:A002385). 52249 52253 52259 52267 52289 52291 52301 52313 52321 52361 101287 101293 101323 101333 101341 101347 101359 101363 101377 101383 63577 63587 63589 63599 63601 63607 63611 63617 63629 63647 7649 7669 7673 7681 7687 7691 7699 7703 7717 7723 1 5009 5011 5021 5023 5039 5051 5059 5077 5081 5087 89101 89107 89113 89119 89123 89137 89153 89189 89203 89209 95783 95789 95791 95801 95803 95813 95819 95857 95869 95873 Fn = Fn1 + Fn2. 14867 14869 14879 14887 14891 14897 14923 14929 14939 14947 92369 92377 92381 92383 92387 92399 92401 92413 92419 92431 25609 25621 25633 25639 25643 25657 25667 25673 25679 25693 100363 100379 100391 100393 100403 100411 100417 100447 100459 100469 94007 94009 94033 94049 94057 94063 94079 94099 94109 94111 49667 49669 49681 49697 49711 49727 49739 49741 49747 49757 59239 59243 59263 59273 59281 59333 59341 59351 59357 59359 17393 17401 17417 17419 17431 17443 17449 17467 17471 17477 65777 65789 65809 65827 65831 65837 65839 65843 65851 65867 263 is a prime number. . The cookies is used to store the user consent for the cookies in the category "Necessary". Some sources only list the smallest prime in each cycle, for example, listing 13, but omitting 31 (OEIS really calls this sequence circular primes, but not the above sequence): 2, 3, 5, 7, 11, 13, 17, 37, 79, 113, 197, 199, 337, 1193, 3779, 11939, 19937, 193939, 199933, 1111111111111111111, 11111111111111111111111 (OEIS:A016114). 39979 39983 39989 40009 40013 40031 40037 40039 40063 40087 + 1 and n does not divide p 1. 10 {\displaystyle (p,p-3)} 66271 66293 66301 66337 66343 66347 66359 66361 66373 66377 m 19p 1 1 (mod p2): 3, 7, 13, 43, 137, 63061489 (OEIS:A090968)[20] 101723 101737 101741 101747 101749 101771 101789 101797 101807 101833 p The first 1000 primes are listed below, followed by lists of notable types of prime numbers in . 25307 25309 25321 25339 25343 25349 25357 25367 25373 25391 59921 59929 59951 59957 59971 59981 59999 60013 60017 60029 99661 99667 99679 99689 99707 99709 99713 99719 99721 99733 94351 94379 94397 94399 94421 94427 94433 94439 94441 94447 52147 52153 52163 52177 52181 52183 52189 52201 52223 52237 24527 24533 24547 24551 24571 24593 24611 24623 24631 24659 b 13513 13523 13537 13553 13567 13577 13591 13597 13613 13619 As for whether collisions are possible- modern key sizes (depending on your desired security) range from 1024 to 4096, which means the prime numbers range from 512 to 2048 bits. The number of palindromic primes less than a given number are illustrated in the plot above. 50989 50993 51001 51031 51043 51047 51059 51061 51071 51109 65071 65089 65099 65101 65111 65119 65123 65129 65141 65147 Tweet a thanks, Learn to code for free. 3343 3347 3359 3361 3371 3373 3389 3391 3407 3413 (5, 7); here 5, 7 are prime numbers and 6 is the composite number between them. 53791 53813 53819 53831 53849 53857 53861 53881 53887 53891 20563 20593 20599 20611 20627 20639 20641 20663 20681 20693 29581 29587 29599 29611 29629 29633 29641 29663 29669 29671 Primes with 210 to 300 digits (say 210, 220, . Primes p for which p2 divides (p1)! 43943 43951 43961 43963 43969 43973 43987 43991 43997 44017 52511 52517 52529 52541 52543 52553 52561 52567 52571 52579 ) 25801 25819 25841 25847 25849 25867 25873 25889 25903 25913 Randomize this list Random Number Picker. 101503 101513 101527 101531 101533 101537 101561 101573 101581 101599 , where the Legendre symbol y 26113 26119 26141 26153 26161 26171 26177 26183 26189 26203 The numbers p corresponding to Mersenne primes must themselves . 2. There is also a Prime Number Tester which will tell you whether or not a given number is 8p 1 1 (mod p2): 3, 1093, 3511 96737 96739 96749 96757 96763 96769 96779 96787 96797 96799 4241 4243 4253 4259 4261 4271 4273 4283 4289 4297 21851 21859 21863 21871 21881 21893 21911 21929 21937 21943 15973 15991 16001 16007 16033 16057 16061 16063 16067 16069 17011 17021 17027 17029 17033 17041 17047 17053 17077 17093 97441 97453 97459 97463 97499 97501 97511 97523 97547 97549 69497 69499 69539 69557 69593 69623 69653 69661 69677 69691 88261 88289 88301 88321 88327 88337 88339 88379 88397 88411 1381 1399 1409 1423 1427 1429 1433 1439 1447 1451 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, Composite Numbers - Definition, List, Properties and Examples - BYJUS 45659 45667 45673 45677 45691 45697 45707 45737 45751 45757 64709 64717 64747 64763 64781 64783 64793 64811 64817 64849 96953 96959 96973 96979 96989 96997 97001 97003 97007 97021 2437 2441 2447 2459 2467 2473 2477 2503 2521 2531 This is a list of articles about prime numbers. 84919 84947 84961 84967 84977 84979 84991 85009 85021 85027 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373 In some sense, 2 % is small, but since there are 9 10 21 numbers with 22 digits, that means about 1.8 10 20 of them are prime; not just three or four! 98519 98533 98543 98561 98563 98573 98597 98621 98627 98639 58603 58613 58631 58657 58661 58679 58687 58693 58699 58711 Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13, . Number Theory 18 (1984), 261-268. 48751 48757 48761 48767 48779 48781 48787 48799 48809 48817 How many 5 digit prime numbers are there? - Short-Question So 8 is composite. 1 91811 91813 91823 91837 91841 91867 91873 91909 91921 91939 4n+3: 3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, 103, 107 (OEIS:A002145) 22051 22063 22067 22073 22079 22091 22093 22109 22111 22123 y 55109 55117 55127 55147 55163 55171 55201 55207 55213 55217 77983 77999 78007 78017 78031 78041 78049 78059 78079 78101 97829 97841 97843 97847 97849 97859 97861 97871 97879 97883 Note that I've intentionally left out commas, so programmers won't have to remove them before copy-pasting them into their code. For a = 2, these are the Mersenne primes, while for a = 10 they are the repunit primes. 91309 91331 91367 91369 91373 91381 91387 91393 91397 91411 33617 33619 33623 33629 33637 33641 33647 33679 33703 33713 14423 14431 14437 14447 14449 14461 14479 14489 14503 14519 28163 28181 28183 28201 28211 28219 28229 28277 28279 28283 ( Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child. 8n+1: 17, 41, 73, 89, 97, 113, 137, 193, 233, 241, 257, 281, 313, 337, 353 (OEIS:A007519) 100267 100271 100279 100291 100297 100313 100333 100343 100357 100361 70457 70459 70481 70487 70489 70501 70507 70529 70537 70549 48187 48193 48197 48221 48239 48247 48259 48271 48281 48299 7507 7517 7523 7529 7537 7541 7547 7549 7559 7561 The first five prime numbers: 2, 3, 5, 7 and 11. 74413 74419 74441 74449 74453 74471 74489 74507 74509 74521 How far is the list of known primes known to be complete? ) 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). 80273 80279 80287 80309 80317 80329 80341 80347 80363 80369 Here is the full list of primes. 36187 36191 36209 36217 36229 36241 36251 36263 36269 36277 It has total 12 factors of which 220 is the biggest factor and the prime factors of 220 are 2, 5, 11. 39779 39791 39799 39821 39827 39829 39839 39841 39847 39857 Primes of the form 27239 27241 27253 27259 27271 27277 27281 27283 27299 27329 81931 81937 81943 81953 81967 81971 81973 82003 82007 82009 101837 101839 101863 101869 101873 101879 101891 101917 101921 101929 12037 12041 12043 12049 12071 12073 12097 12101 12107 12109 The Sieve of Erastosthenes is a method for finding what is a prime numbers between 2 and any given number. 3, 7, 31, 211, 2311, 200560490131 (OEIS:A018239[5]). {\displaystyle {\frac {b^{p-1}-1}{p}}} A prime number is an integer, or whole number, that has only two factors 1 and itself. 15887 15889 15901 15907 15913 15919 15923 15937 15959 15971 73547 73553 73561 73571 73583 73589 73597 73607 73609 73613 6229 6247 6257 6263 6269 6271 6277 6287 6299 6301 29453 29473 29483 29501 29527 29531 29537 29567 29569 29573 Next we test 4. 14083 14087 14107 14143 14149 14153 14159 14173 14177 14197 Definition : A prime number is a number that is greater than 1 and is only divisible by 1 and itself. The First 10,000 Primes 2539 2543 2549 2551 2557 2579 2591 2593 2609 2617 102461 102481 102497 102499 102503 102523 102533 102539 102547 102551 18911 18913 18917 18919 18947 18959 18973 18979 19001 19009 54371 54377 54401 54403 54409 54413 54419 54421 54437 54443 Next we test 5. 52937 52951 52957 52963 52967 52973 52981 52999 53003 53017 43591 43597 43607 43609 43613 43627 43633 43649 43651 43661 31847 31849 31859 31873 31883 31891 31907 31957 31963 31973 32069 32077 32083 32089 32099 32117 32119 32141 32143 32159 76673 76679 76697 76717 76733 76753 76757 76771 76777 76781 42193 42197 42209 42221 42223 42227 42239 42257 42281 42283 99859 99871 99877 99881 99901 99907 99923 99929 99961 99971 63467 63473 63487 63493 63499 63521 63527 63533 63541 63559 101107 101111 101113 101117 101119 101141 101149 101159 101161 101173 55681 55691 55697 55711 55717 55721 55733 55763 55787 55793 Need help with printing or saving? 97327 97367 97369 97373 97379 97381 97387 97397 97423 97429 Your email address will not be published. 45763 45767 45779 45817 45821 45823 45827 45833 45841 45853 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). Note: The numbers 0 and 1 are not prime. So 9 is composite. 98321 98323 98327 98347 98369 98377 98387 98389 98407 98411 As of 2018[update], these are the only known Wilson primes. You can then take this information and copy and paste it somewhere else if you wish! 6n+1: 7, 13, 19, 31, 37, 43, 61, 67, 73, 79, 97, 103, 109, 127, 139 (OEIS:A002476) 33457 33461 33469 33479 33487 33493 33503 33521 33529 33533 53129 53147 53149 53161 53171 53173 53189 53197 53201 53231 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, 67, 71, 83, 89, 101, 107, 109, 113, 127, 131, 137, 139, 149, 157, 167, 179, 181, 191, 197, 199, 211, 227, 233, 239, 251, 257, 263, 269, 281, 293, 307, 311, 317, 337, 347, 353, 359, 379, 389, 401, 409 (OEIS:A109611). 33347 33349 33353 33359 33377 33391 33403 33409 33413 33427 Primes that are the concatenation of the first n primes written in decimal. What are the example of twin prime numbers? Here are the prime numbers from 1-100: All in all, there are 25 prime numbers from 1-100. 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). where x=y + 1. 353 359 367 373 379 383 389 397 401 409 76543 76561 76579 76597 76603 76607 76631 76649 76651 76667 63949 63977 63997 64007 64013 64019 64033 64037 64063 64067 8117 8123 8147 8161 8167 8171 8179 8191 8209 8219 The primes of the form 2n+1 are the odd primes, including all primes other than 2. 7. 68219 68227 68239 68261 68279 68281 68311 68329 68351 68371 85133 85147 85159 85193 85199 85201 85213 85223 85229 85237 9901 9907 9923 9929 9931 9941 9949 9967 9973 10007 12743 12757 12763 12781 12791 12799 12809 12821 12823 12829 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]. 35771 35797 35801 35803 35809 35831 35837 35839 35851 35863 But opting out of some of these cookies may affect your browsing experience. 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. 72707 72719 72727 72733 72739 72763 72767 72797 72817 72823 28057 28069 28081 28087 28097 28099 28109 28111 28123 28151 127 131 137 139 149 151 157 163 167 173 Primes that remain prime when the leading decimal digit is successively removed. A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself. 103511 103529 103549 103553 103561 103567 103573 103577 103583 103591 and all our other Math games and resources. A. Cohen and Talbot M. Katz, Prime numbers and the first digit phenomenon, J. 27773 27779 27791 27793 27799 27803 27809 27817 27823 27827 83873 83891 83903 83911 83921 83933 83939 83969 83983 83987 ( is defined as. 42961 42967 42979 42989 43003 43013 43019 43037 43049 43051 20359 20369 20389 20393 20399 20407 20411 20431 20441 20443 So 10 is composite. 92957 92959 92987 92993 93001 93047 93053 93059 93077 93083 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). 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). Of the form 2u3v+1 for some integers u,v0. 4327 4337 4339 4349 4357 4363 4373 4391 4397 4409 are considered to be prime numbers. 3 56813 56821 56827 56843 56857 56873 56891 56893 56897 56909 50077 50087 50093 50101 50111 50119 50123 50129 50131 50147 47639 47653 47657 47659 47681 47699 47701 47711 47713 47717 4861 4871 4877 4889 4903 4909 4919 4931 4933 4937 please consider making a small donation to help us with The third prime number, p3 = 5. 31981 31991 32003 32009 32027 32029 32051 32057 32059 32063 68927 68947 68963 68993 69001 69011 69019 69029 69031 69061 74623 74653 74687 74699 74707 74713 74717 74719 74729 74731 40801 40813 40819 40823 40829 40841 40847 40849 40853 40867 76091 76099 76103 76123 76129 76147 76157 76159 76163 76207 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, . 40993 41011 41017 41023 41039 41047 41051 41057 41077 41081 95233 95239 95257 95261 95267 95273 95279 95287 95311 95317 22p 1 1 (mod p2): 13, 673, 1595813, 492366587, 9809862296159 (OEIS:A298951) 79187 79193 79201 79229 79231 79241 79259 79273 79279 79283 84673 84691 84697 84701 84713 84719 84731 84737 84751 84761 P. Cox, Primes is in P P. J. Davis & R. Hersh, The Mathematical Experience, The Prime Number Theorem Prime Numbers List - A Chart of All Primes Up to 20,000 60037 60041 60077 60083 60089 60091 60101 60103 60107 60127