71719 71741 71761 71777 71789 71807 71809 71821 71837 71843 67679 67699 67709 67723 67733 67741 67751 67757 67759 67763 Primes that become a different prime when their decimal digits are reversed. Here is the list of prime numbers up to 100. 55339 55343 55351 55373 55381 55399 55411 55439 55441 55457 85703 85711 85717 85733 85751 85781 85793 85817 85819 85829 96953 96959 96973 96979 96989 96997 97001 97003 97007 97021 20089 20101 20107 20113 20117 20123 20129 20143 20147 20149 23633 23663 23669 23671 23677 23687 23689 23719 23741 23743 47339 47351 47353 47363 47381 47387 47389 47407 47417 47419 32261 32297 32299 32303 32309 32321 32323 32327 32341 32353 42853 42859 42863 42899 42901 42923 42929 42937 42943 42953 44959 44963 44971 44983 44987 45007 45013 45053 45061 45077 100981 100987 100999 101009 101021 101027 101051 101063 101081 101089 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). The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. I assembled this list for my own uses as a programmer, and wanted to share it with you. 15619 15629 15641 15643 15647 15649 15661 15667 15671 15679 , where the Legendre symbol 75211 75217 75223 75227 75239 75253 75269 75277 75289 75307 Primes in the Perrin number sequence P(0)=3, P(1)=0, P(2)=2, The first few circular primes are 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 197, . 4073 4079 4091 4093 4099 4111 4127 4129 4133 4139 65881 65899 65921 65927 65929 65951 65957 65963 65981 65983 The limit on the input number to factor is less than 10,000,000,000,000 (less than 10 trillion or a maximum of 13 digits). Primes with 210 to 300 digits (say 210, 220, . y prime and tell you all the factors of that number. Pn=2Pn1+Pn2. Prime Number. Given a number n, print all palindromic primes smaller than or equal to n. For example, If n is 10, the output should be "2, 3, 5, 7. (In fact, there are exactly 180, 340, 017, 203 . 57397 57413 57427 57457 57467 57487 57493 57503 57527 57529 33617 33619 33623 33629 33637 33641 33647 33679 33703 33713 71597 71633 71647 71663 71671 71693 71699 71707 71711 71713 23209 23227 23251 23269 23279 23291 23293 23297 23311 23321 17977 17981 17987 17989 18013 18041 18043 18047 18049 18059 65071 65089 65099 65101 65111 65119 65123 65129 65141 65147 The First 10,000 Primes 17483 17489 17491 17497 17509 17519 17539 17551 17569 17573 55871 55889 55897 55901 55903 55921 55927 55931 55933 55949 40993 41011 41017 41023 41039 41047 41051 41057 41077 41081 Primes that having any one of their (base 10) digits changed to any other value will always result in a composite number. 29927 29947 29959 29983 29989 30011 30013 30029 30047 30059 and all our other Math games and resources. 81931 81937 81943 81953 81967 81971 81973 82003 82007 82009 Take a look at our Prime Number page which clearly describes what a prime numbers is and what they are not. 25703 25717 25733 25741 25747 25759 25763 25771 25793 25799 The third prime number, p3 = 5. 54449 54469 54493 54497 54499 54503 54517 54521 54539 54541 3 19139 19141 19157 19163 19181 19183 19207 19211 19213 19219 5009 5011 5021 5023 5039 5051 5059 5077 5081 5087 A prime number is a whole number greater than 1 whose only factors are 1 and itself. 2909 2917 2927 2939 2953 2957 2963 2969 2971 2999 Here is JavaScript code to generate a list of an arbitrarily large number of prime numbers. 63299 63311 63313 63317 63331 63337 63347 63353 63361 63367 + 1 and n does not divide p 1. 8221 8231 8233 8237 8243 8263 8269 8273 8287 8291 29269 29287 29297 29303 29311 29327 29333 29339 29347 29363 46451 46457 46471 46477 46489 46499 46507 46511 46523 46549 7727 7741 7753 7757 7759 7789 7793 7817 7823 7829 90379 90397 90401 90403 90407 90437 90439 90469 90473 90481 10663 10667 10687 10691 10709 10711 10723 10729 10733 10739 75721 75731 75743 75767 75773 75781 75787 75793 75797 75821 20161 20173 20177 20183 20201 20219 20231 20233 20249 20261 3659 3671 3673 3677 3691 3697 3701 3709 3719 3727 Zero is not a positive number and has infinite number of divisors. Primes p for which there exist n>0 such that p divides n! A factor is a whole number that can be divided evenly into another number. 18061 18077 18089 18097 18119 18121 18127 18131 18133 18143 24097 24103 24107 24109 24113 24121 24133 24137 24151 24169 607 613 617 619 631 641 643 647 653 659 811 821 823 827 829 839 853 857 859 863 2 16411 16417 16421 16427 16433 16447 16451 16453 16477 16481 (: prime number) 1 2 1 . 5099 5101 5107 5113 5119 5147 5153 5167 5171 5179 96587 96589 96601 96643 96661 96667 96671 96697 96703 96731 {\displaystyle (p,p-3)} First Ten Natural Prime Numbers are - 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 Factors of 1 are =1 ( Not Prime Number because it has only one factor) Factors of 2 are = 1 and 2 ( Prime Number because it has only two factors ) 36697 36709 36713 36721 36739 36749 36761 36767 36779 36781 87739 87743 87751 87767 87793 87797 87803 87811 87833 87853 Of the form pn#+1 (a subset of primorial primes). How to calculate the number of prime factors? The number 1 is neither prime nor composite. The prime numbers table lists the first 1000 prime numbers from 2 to 8011. Free online prime number generator. 5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149, 179, 191, 223, 227, 251, 257, 269, 307 (OEIS:A028388), 7, 13, 19, 23, 31, 79, 97, 103, 109, 139, 167, 193, 239, 263, 293, 313, 331, 367, 379, 383, 397, 409, 487, 563, 617, 653, 673, 683, 709, 739, 761, 863, 881, 907, 937, 1009, 1033, 1039, 1093 (OEIS:A035497), Primes p for which there are no solutions to Hk0(modp) and Hkp(modp) for 1kp2, where Hk denotes the k-th harmonic number and p denotes the Wolstenholme quotient. y Note: The numbers 0 and 1 are not prime. [1], The Goldbach conjecture verification project reports that it has computed all primes below 41018. Of the form k2n+1, with odd k and k<2n. Only 2 is an even prime, all other even numbers are not prime because they are divisible by 2. 56437 56443 56453 56467 56473 56477 56479 56489 56501 56503 100703 100733 100741 100747 100769 100787 100799 100801 100811 100823 12p 1 1 (mod p2): 2693, 123653 (OEIS:A111027) 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). n 73019 73037 73039 73043 73061 73063 73079 73091 73121 73127 a 1000000007 is the smallest 10-digit prime number, and happens to be safe. As of 2018[update], this class of prime numbers also contains the largest known prime: M82589933, the 51st known Mersenne prime. 21493 21499 21503 21517 21521 21523 21529 21557 21559 21563 As of 2018[update], these are the only known Wolstenholme primes. 12491 12497 12503 12511 12517 12527 12539 12541 12547 12553 23039 23041 23053 23057 23059 23063 23071 23081 23087 23099 55469 55487 55501 55511 55529 55541 55547 55579 55589 55603 Nine has three factors: 1, 3 and 9. Here's a list of all 2,262 prime numbers between zero and 20,000. Prime and Composite Numbers Prime Numbers - Advanced Prime Number Lists. 2539 2543 2549 2551 2557 2579 2591 2593 2609 2617 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. Primes for which there are more prime permutations of some or all the decimal digits than for any smaller number. 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373 63029 63031 63059 63067 63073 63079 63097 63103 63113 63127 9391 9397 9403 9413 9419 9421 9431 9433 9437 9439 P. Cox, Primes is in P P. J. Davis & R. Hersh, The Mathematical Experience, The Prime Number Theorem 43457 43481 43487 43499 43517 43541 43543 43573 43577 43579 By clicking Accept All, you consent to the use of ALL the cookies. 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) 34747 34757 34759 34763 34781 34807 34819 34841 34843 34847 2371 2377 2381 2383 2389 2393 2399 2411 2417 2423 Why not try one of our free printable math games with your students! 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). Primes that remain prime when the least significant decimal digit is successively removed. 64853 64871 64877 64879 64891 64901 64919 64921 64927 64937 Is 1 a prime number? A prime number is a whole number greater than 1 whose only factors are 1 and itself. When are two numbers considered to be relatively prime? 65993 66029 66037 66041 66047 66067 66071 66083 66089 66103 A prime number is a natural number with two positive divisors or factors, unity and the number itself. {\displaystyle 0\leq 2n\leq p-3} 1823 1831 1847 1861 1867 1871 1873 1877 1879 1889 103231 103237 103289 103291 103307 103319 103333 103349 103357 103387 So 4 is not prime (a number that is not prime is called composite). A palindromic prime is a number that is simultaneously palindromic and prime. 263 ends in an odd number 3, and therefore, it is not divisible by 2. 82013 82021 82031 82037 82039 82051 82067 82073 82129 82139 Primes p that do not divide the class number of the p-th cyclotomic field. Example: 2, 3, 5, 7, 11, 13, 17, are prime numbers. 31013 31019 31033 31039 31051 31063 31069 31079 31081 31091 10103 10111 10133 10139 10141 10151 10159 10163 10169 10177 100829 100847 100853 100907 100913 100927 100931 100937 100943 100957 22247 22259 22271 22273 22277 22279 22283 22291 22303 22307 25801 25819 25841 25847 25849 25867 25873 25889 25903 25913 A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself. 56093 56099 56101 56113 56123 56131 56149 56167 56171 56179 102329 102337 102359 102367 102397 102407 102409 102433 102437 102451 18911 18913 18917 18919 18947 18959 18973 18979 19001 19009 17681 17683 17707 17713 17729 17737 17747 17749 17761 17783 DH with that prime is quite easily breakable. Of the form an + d for fixed integers a and d. Also called primes congruent to d modulo a. 93407 93419 93427 93463 93479 93481 93487 93491 93493 93497 3 digit 4 digit 5 digit 6 digit 1-10 1 - 100 Random Hex Random Binary Combinations Random Strings. By definition a 10 digit prime is not "safe" of course. 4241 4243 4253 4259 4261 4271 4273 4283 4289 4297 91691 91703 91711 91733 91753 91757 91771 91781 91801 91807 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). 90619 90631 90641 90647 90659 90677 90679 90697 90703 90709 84131 84137 84143 84163 84179 84181 84191 84199 84211 84221 The probability of the existence of another Fermat prime is less than one in a billion. Our Prime Number Charts page is similar to the prime number lists on this page but contains charts Two examples of twin prime numbers are: (3, 5); here 3, 5 are prime numbers and 4 is the composite number between them. 84787 84793 84809 84811 84827 84857 84859 84869 84871 84913 Final answer: from the given digits 1,2,3,4,5 we can for 120 numbers which contain 5 digits. The nth prime number is denoted as Prime[n], so Prime[1] = 2, Prime[2] = 3, Prime[3] = 5, and so on. So the largest 5 digit no is 99999. 86381 86389 86399 86413 86423 86441 86453 86461 86467 86477 4421 4423 4441 4447 4451 4457 4463 4481 4483 4493 5861 5867 5869 5879 5881 5897 5903 5923 5927 5939 82787 82793 82799 82811 82813 82837 82847 82883 82889 82891 11351 11353 11369 11383 11393 11399 11411 11423 11437 11443 52817 52837 52859 52861 52879 52883 52889 52901 52903 52919 5189 5197 5209 5227 5231 5233 5237 5261 5273 5279 55001 55009 55021 55049 55051 55057 55061 55073 55079 55103 102559 102563 102587 102593 102607 102611 102643 102647 102653 102667 80737 80747 80749 80761 80777 80779 80783 80789 80803 80809 81031 81041 81043 81047 81049 81071 81077 81083 81097 81101 100483 100493 100501 100511 100517 100519 100523 100537 100547 100549 12037 12041 12043 12049 12071 12073 12097 12101 12107 12109 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. 33029 33037 33049 33053 33071 33073 33083 33091 33107 33113 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]. 56197 56207 56209 56237 56239 56249 56263 56267 56269 56299 [14] This means all digits except the middle digit are equal. ) 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 Looking for some fun printable math games? The digit 6 is in the prime number and in the correct spot. 9293 9311 9319 9323 9337 9341 9343 9349 9371 9377 (5, 7, 11), (7, 11, 13), (11, 13, 17), (13, 17, 19), (17, 19, 23), (37, 41, 43), (41, 43, 47), (67, 71, 73), (97, 101, 103), (101, 103, 107), (103, 107, 109), (107, 109, 113), (191, 193, 197), (193, 197, 199), (223, 227, 229), (227, 229, 233), (277, 281, 283), (307, 311, 313), (311, 313, 317), (347, 349, 353) (OEIS:A007529, OEIS:A098414, OEIS:A098415). . 16921 16927 16931 16937 16943 16963 16979 16981 16987 16993 44851 44867 44879 44887 44893 44909 44917 44927 44939 44953 As of 2018[update], these are the only known Wilson primes. p 33223 33247 33287 33289 33301 33311 33317 33329 33331 33343 69193 69197 69203 69221 69233 69239 69247 69257 69259 69263 Used Sieve of Eratosthenes to generate 5 digit primes (between 9999 & 100000) Built a function to compute the sum of digits (12345 = 1+2+3+4+5 = 15) Built a function to check an array if the sum of digits are the same throughout. 54631 54647 54667 54673 54679 54709 54713 54721 54727 54751 gives a cyclic number. 32941 32957 32969 32971 32983 32987 32993 32999 33013 33023 16p 1 1 (mod p2): 1093, 3511 12113 12119 12143 12149 12157 12161 12163 12197 12203 12211 Each composite number will include at least two prime numbers as its factors (Eg. 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). 37409 37423 37441 37447 37463 37483 37489 37493 37501 37507 13417 13421 13441 13451 13457 13463 13469 13477 13487 13499 35089 35099 35107 35111 35117 35129 35141 35149 35153 35159 100267 100271 100279 100291 100297 100313 100333 100343 100357 100361 51341 51343 51347 51349 51361 51383 51407 51413 51419 51421 31513 31517 31531 31541 31543 31547 31567 31573 31583 31601 Take a look at some more of our worksheets similar to these. In this tool, you can specify how many primes you need, set the minimum value, and the tool will generate all . The number 1 is neither prime nor composite. 84673 84691 84697 84701 84713 84719 84731 84737 84751 84761 49871 49877 49891 49919 49921 49927 49937 49939 49943 49957 68491 68501 68507 68521 68531 68539 68543 68567 68581 68597 41113 41117 41131 41141 41143 41149 41161 41177 41179 41183 27091 27103 27107 27109 27127 27143 27179 27191 27197 27211 p 63949 63977 63997 64007 64013 64019 64033 64037 64063 64067 95651 95701 95707 95713 95717 95723 95731 95737 95747 95773 2 Still, there are overall more primes among the same range of smaller numbers (1000-5499 has ~4400 primes, 5500-99999 has ~4000). 12409 12413 12421 12433 12437 12451 12457 12473 12479 12487 The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. 27953 27961 27967 27983 27997 28001 28019 28027 28031 28051 92671 92681 92683 92693 92699 92707 92717 92723 92737 92753 50873 50891 50893 50909 50923 50929 50951 50957 50969 50971 The smallest five-digit number = 10000. 11447 11467 11471 11483 11489 11491 11497 11503 11519 11527 91199 91229 91237 91243 91249 91253 91283 91291 91297 91303 99079 99083 99089 99103 99109 99119 99131 99133 99137 99139 72251 72253 72269 72271 72277 72287 72307 72313 72337 72341 For n 2, write the prime factorization of n in base 10 and concatenate the factors; iterate until a prime is reached. Primes that cannot be generated by any integer added to the sum of its decimal digits. 77731 77743 77747 77761 77773 77783 77797 77801 77813 77839 For full functionality of this site it is necessary to enable JavaScript. 87643 87649 87671 87679 87683 87691 87697 87701 87719 87721 19993 19997 20011 20021 20023 20029 20047 20051 20063 20071 {\displaystyle \left({\frac {p}{5}}\right)} 38557 38561 38567 38569 38593 38603 38609 38611 38629 38639 44111 44119 44123 44129 44131 44159 44171 44179 44189 44201 9 56611 56629 56633 56659 56663 56671 56681 56687 56701 56711 294001, 505447, 584141, 604171, 971767, 1062599, 1282529, 1524181, 2017963, 2474431, 2690201, 3085553, 3326489, 4393139 (OEIS:A050249). 45659 45667 45673 45677 45691 45697 45707 45737 45751 45757 88807 88811 88813 88817 88819 88843 88853 88861 88867 88873 37691 37693 37699 37717 37747 37781 37783 37799 37811 37813 61871 61879 61909 61927 61933 61949 61961 61967 61979 61981 Number : 2: 3: 5: 7: 11: 13 . Prime elements of the Gaussian integers; equivalently, primes of the form 4n+3. 58603 58613 58631 58657 58661 58679 58687 58693 58699 58711 24527 24533 24547 24551 24571 24593 24611 24623 24631 24659 48947 48953 48973 48989 48991 49003 49009 49019 49031 49033 For example, 2 + 2 = 4, 4 + 2 = 6, and so on (these will be all the multiples of 2 in the list): Such as 4, 6, 8, 10, 12, 14, 16 and so on up to 100. 1741 1747 1753 1759 1777 1783 1787 1789 1801 1811 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).