Table of prime factors

The tables contain the prime factorization of the natural numbers from 1 to 1000.

When n is a prime number, the prime factorization is just n itself, written in bold below.

The number 1 is called a unit. It has no prime factors and is neither prime nor composite.

Properties

Many properties of a natural number <math>n</math> can be seen or directly computed from the prime factorization of <math>n</math>.

• The multiplicity of a prime factor <math>p</math> of <math>n</math> is the largest exponent <math>m</math> for which <math>p^m</math> divides <math>n</math>. The tables show the multiplicity for each prime factor. If no exponent is written then the multiplicity is <math>1</math> (since <math>p = p^1</math>). The multiplicity of a prime which does not divide <math>n</math> may be called <math>0</math> or may be considered undefined.
• <math>\omega(n)</math> and <math>\Omega(n)</math>, the prime omega functions, count the number of prime factors of a natural number <math>n</math>.
• <math>\omega(n)</math> (little omega) is the number of distinct prime factors of <math>n</math>.
• <math>\Omega(n)</math> (big omega) is the number of prime factors of <math>n</math> counted with multiplicity (so it is the sum of all prime factor multiplicities).
• A prime number has <math>\Omega(n) = \omega(n) = 1</math>. The first: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 . There are many special types of prime numbers.
• A composite number has <math>\Omega(n) \ge \omega(n) > 1</math>. The first: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21 . All numbers above 1 are either prime or composite. 1 is neither.
• A semiprime has <math>\Omega(n) = 2</math> (so it is composite). The first: 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34 .
• A <math>k</math>-almost prime (for a natural number <math>k</math>) has <math>\Omega(n) = k</math> (so it is composite if <math>k > 1</math>).
• An even number has the prime factor 2. The first: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 .
• An odd number does not have the prime factor 2. The first: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23 . All integers are either even or odd.
• A square has even multiplicity for all prime factors (it is of the form <math>a^2</math> for some <math>a</math>). The first: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 .
• A cube has all multiplicities divisible by 3 (it is of the form <math>a^3</math> for some <math>a</math>). The first: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728 .
• A perfect power has a common divisor <math>m > 1</math> for all multiplicities (it is of the form <math>a^m</math> for some <math>a > 1</math> and <math>m > 1</math>). The first: 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100 . 1 is sometimes included.
• A powerful number (also called squarefull) has multiplicity greater than 1 for all its prime factors. The first: 1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 72 .
• A prime power has only one prime factor, i.e. <math>\omega(n) = 1</math>. The first: 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19 . 1 is sometimes included.
• An Achilles number is powerful but not a perfect power. The first: 72, 108, 200, 288, 392, 432, 500, 648, 675, 800, 864, 968 .
• A square-free integer has no prime factor with multiplicity greater than 1. The first: 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17 . A number where some but not all prime factors have multiplicity greater than 1 is neither square-free nor squarefull, but squareful.
• The Liouville function <math>\lambda(n)</math> is 1 if <math>\Omega(n)</math> is even, and is -1 if <math>\Omega(n)</math> is odd.
• The Möbius function <math>\mu(n)</math> is 0 if <math>n</math> is not square-free. Otherwise <math>\mu(n)</math> is 1 if <math>\Omega(n)</math> is even, and is −1 if <math>\Omega(n)</math> is odd.
• A sphenic number is square-free and the product of 3 distinct primes, i.e. it has <math>\omega(n) = \Omega(n) = 3</math>. The first: 30, 42, 66, 70, 78, 102, 105, 110, 114, 130, 138, 154 .
• <math>a_0(n)</math>, sometimes called the integer logarithm, is the sum of primes dividing <math>n</math>, counted with multiplicity. It is an additive function.
• A Ruth-Aaron pair is a pair of two consecutive numbers <math>(n, n+1)</math> with <math>a_0(n) = a_0(n+1)</math>. The first (by <math>n</math> value): 5, 8, 15, 77, 125, 714, 948, 1330, 1520, 1862, 2491, 3248 . Another definition is where the same prime is only counted once; if so, the first (by <math>n</math> value): 5, 24, 49, 77, 104, 153, 369, 492, 714, 1682, 2107, 2299 .
• A primorial <math>p_n\#</math> is the product of all primes from 2 to <math>p_n</math>. The first: 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230, 200560490130, 7420738134810 . <math>1\# = 1</math> is sometimes included.
• A factorial <math>n!</math> is the product of all numbers from 1 to <math>n</math>. The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 . <math>0! = 1</math> is sometimes included.
• A <math>k</math>-smooth number (for a natural number <math>k</math>) has its prime factors <math>\le k</math> (so it is also <math>j</math>-smooth for any <math>j > k</math>).
• <math>m</math> is smoother than <math>n</math> if the largest prime factor of <math>m</math> is less than the largest of <math>n</math>.
• A regular number has no prime factor greater than 5 (so it is 5-smooth). The first: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16 .
• A <math>k</math>-powersmooth number has all <math>p^m \le k</math> where <math>p</math> is a prime factor with multiplicity <math>m</math>.
• A frugal number has more digits than the number of digits in its prime factorization (when written like the tables below with multiplicities above 1 as exponents). The first in decimal: 125, 128, 243, 256, 343, 512, 625, 729, 1024, 1029, 1215, 1250 .
• An equidigital number has the same number of digits as its prime factorization. The first in decimal: 1, 2, 3, 5, 7, 10, 11, 13, 14, 15, 16, 17 .
• An extravagant number has fewer digits than its prime factorization. The first in decimal: 4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30 .
• An economical number has been defined as a frugal number, but also as a number that is either frugal or equidigital.
• <math>gcd(m, n)</math> (greatest common divisor of <math>m</math> and <math>n</math>) is the product of all prime factors which are both in <math>m</math> and <math>n</math> (with the smallest multiplicity for <math>m</math> and <math>n</math>).
• <math>m</math> and <math>n</math> are coprime (also called relatively prime) if they have no common prime factors, which implies <math>gcd(m, n) = 1</math>.
• <math>lcm(m, n)</math> (least common multiple of <math>m</math> and <math>n</math>) is the product of all prime factors of <math>m</math> or <math>n</math> (with the largest multiplicity for <math>m</math> or <math>n</math>).
• <math>gcd(m, n) \times lcm(m, n) = m \times n</math>. Finding the prime factors is often harder than computing <math>gcd</math> and <math>lcm</math> using other algorithms which do not require known prime factorization.
• <math>m</math> is a divisor of <math>n</math> (also called <math>m</math> divides <math>n</math>, or <math>n</math> is divisible by <math>m</math>) if all prime factors of <math>m</math> have at least the same multiplicity in <math>n</math>.
• The divisors of <math>n</math> are all products of some or all prime factors of <math>n</math> (including the empty product 1 of no prime factors). The number of divisors can be computed by increasing all multiplicities by 1 and then multiplying them.

Divisors and properties related to divisors are shown in table of divisors.

1 to 100

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 1–20

|-

|1|| <!-- Please do not put a 1 in this box. This box is supposed to be empty, as 1 is not prime. -->

|-

|2||2

|-

|3||3

|-

|4||2²

|-

|5||5

|-

|6||2·3

|-

|7||7

|-

|8||2³

|-

|9||3²

|-

|10||2·5

|-

|11||11

|-

|12||2²·3

|-

|13||13

|-

|14||2·7

|-

|15||3·5

|-

|16||2⁴

|-

|17||17

|-

|18||2·3²

|-

|19||19

|-

|20||2²·5

|}

|

{| class="wikitable"

|+ 21–40

|-

|21||3·7

|-

|22||2·11

|-

|23||23

|-

|24||2³·3

|-

|25||5²

|-

|26||2·13

|-

|27||3³

|-

|28||2²·7

|-

|29||29

|-

|30||2·3·5

|-

|31||31

|-

|32||2⁵

|-

|33||3·11

|-

|34||2·17

|-

|35||5·7

|-

|36||2²·3²

|-

|37||37

|-

|38||2·19

|-

|39||3·13

|-

|40||2³·5

|}

|

{| class="wikitable"

|+ 41–60

|-

|41||41

|-

|42||2·3·7

|-

|43||43

|-

|44||2²·11

|-

|45||3²·5

|-

|46||2·23

|-

|47||47

|-

|48||2⁴·3

|-

|49||7²

|-

|50||2·5²

|-

|51||3·17

|-

|52||2²·13

|-

|53||53

|-

|54||2·3³

|-

|55||5·11

|-

|56||2³·7

|-

|57||3·19

|-

|58||2·29

|-

|59||59

|-

|60||2²·3·5

|}

|

{| class="wikitable"

|+ 61–80

|-

|61||61

|-

|62||2·31

|-

|63||3²·7

|-

|64||2⁶

|-

|65||5·13

|-

|66||2·3·11

|-

|67||67

|-

|68||2²·17

|-

|69||3·23

|-

|70||2·5·7

|-

|71||71

|-

|72||2³·3²

|-

|73||73

|-

|74||2·37

|-

|75||3·5²

|-

|76||2²·19

|-

|77||7·11

|-

|78||2·3·13

|-

|79||79

|-

|80||2⁴·5

|}

|

{| class="wikitable"

|+ 81–100

|-

|81||3⁴

|-

|82||2·41

|-

|83||83

|-

|84||2²·3·7

|-

|85||5·17

|-

|86||2·43

|-

|87||3·29

|-

|88||2³·11

|-

|89||89

|-

|90||2·3²·5

|-

|91||7·13

|-

|92||2²·23

|-

|93||3·31

|-

|94||2·47

|-

|95||5·19

|-

|96||2⁵·3

|-

|97||97

|-

|98||2·7²

|-

|99||3²·11

|-

|100||2²·5²

|}

|}

101 to 200

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 101–120

|-

|101||101

|-

|102||2·3·17

|-

|103||103

|-

|104||2³·13

|-

|105||3·5·7

|-

|106||2·53

|-

|107||107

|-

|108||2²·3³

|-

|109||109

|-

|110||2·5·11

|-

|111||3·37

|-

|112||2⁴·7

|-

|113||113

|-

|114||2·3·19

|-

|115||5·23

|-

|116||2²·29

|-

|117||3²·13

|-

|118||2·59

|-

|119||7·17

|-

|120||2³·3·5

|}

|

{| class="wikitable"

|+ 121–140

|-

|121||11²

|-

|122||2·61

|-

|123||3·41

|-

|124||2²·31

|-

|125||5³

|-

|126||2·3²·7

|-

|127||127

|-

|128||2⁷

|-

|129||3·43

|-

|130||2·5·13

|-

|131||131

|-

|132||2²·3·11

|-

|133||7·19

|-

|134||2·67

|-

|135||3³·5

|-

|136||2³·17

|-

|137||137

|-

|138||2·3·23

|-

|139||139

|-

|140||2²·5·7

|}

|

{| class="wikitable"

|+ 141–160

|-

|141||3·47

|-

|142||2·71

|-

|143||11·13

|-

|144||2⁴·3²

|-

|145||5·29

|-

|146||2·73

|-

|147||3·7²

|-

|148||2²·37

|-

|149||149

|-

|150||2·3·5²

|-

|151||151

|-

|152||2³·19

|-

|153||3²·17

|-

|154||2·7·11

|-

|155||5·31

|-

|156||2²·3·13

|-

|157||157

|-

|158||2·79

|-

|159||3·53

|-

|160||2⁵·5

|}

|

{| class="wikitable"

|+ 161–180

|-

|161||7·23

|-

|162||2·3⁴

|-

|163||163

|-

|164||2²·41

|-

|165||3·5·11

|-

|166||2·83

|-

|167||167

|-

|168||2³·3·7

|-

|169||13²

|-

|170||2·5·17

|-

|171||3²·19

|-

|172||2²·43

|-

|173||173

|-

|174||2·3·29

|-

|175||5²·7

|-

|176||2⁴·11

|-

|177||3·59

|-

|178||2·89

|-

|179||179

|-

|180||2²·3²·5

|}

|

{| class="wikitable"

|+ 181–200

|-

|181||181

|-

|182||2·7·13

|-

|183||3·61

|-

|184||2³·23

|-

|185||5·37

|-

|186||2·3·31

|-

|187||11·17

|-

|188||2²·47

|-

|189||3³·7

|-

|190||2·5·19

|-

|191||191

|-

|192||2⁶·3

|-

|193||193

|-

|194||2·97

|-

|195||3·5·13

|-

|196||2²·7²

|-

|197||197

|-

|198||2·3²·11

|-

|199||199

|-

|200||2³·5²

|}

|}

201 to 300

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 201–220

|-

|201||3·67

|-

|202||2·101

|-

|203||7·29

|-

|204||2²·3·17

|-

|205||5·41

|-

|206||2·103

|-

|207||3²·23

|-

|208||2⁴·13

|-

|209||11·19

|-

|210||2·3·5·7

|-

|211||211

|-

|212||2²·53

|-

|213||3·71

|-

|214||2·107

|-

|215||5·43

|-

|216||2³·3³

|-

|217||7·31

|-

|218||2·109

|-

|219||3·73

|-

|220||2²·5·11

|}

|

{| class="wikitable"

|+ 221–240

|-

|221||13·17

|-

|222||2·3·37

|-

|223||223

|-

|224||2⁵·7

|-

|225||3²·5²

|-

|226||2·113

|-

|227||227

|-

|228||2²·3·19

|-

|229||229

|-

|230||2·5·23

|-

|231||3·7·11

|-

|232||2³·29

|-

|233||233

|-

|234||2·3²·13

|-

|235||5·47

|-

|236||2²·59

|-

|237||3·79

|-

|238||2·7·17

|-

|239||239

|-

|240||2⁴·3·5

|}

|

{| class="wikitable"

|+ 241–260

|-

|241||241

|-

|242||2·11²

|-

|243||3⁵

|-

|244||2²·61

|-

|245||5·7²

|-

|246||2·3·41

|-

|247||13·19

|-

|248||2³·31

|-

|249||3·83

|-

|250||2·5³

|-

|251||251

|-

|252||2²·3²·7

|-

|253||11·23

|-

|254||2·127

|-

|255||3·5·17

|-

|256||2⁸

|-

|257||257

|-

|258||2·3·43

|-

|259||7·37

|-

|260||2²·5·13

|}

|

{| class="wikitable"

|+ 261–280

|-

|261||3²·29

|-

|262||2·131

|-

|263||263

|-

|264||2³·3·11

|-

|265||5·53

|-

|266||2·7·19

|-

|267||3·89

|-

|268||2²·67

|-

|269||269

|-

|270||2·3³·5

|-

|271||271

|-

|272||2⁴·17

|-

|273||3·7·13

|-

|274||2·137

|-

|275||5²·11

|-

|276||2²·3·23

|-

|277||277

|-

|278||2·139

|-

|279||3²·31

|-

|280||2³·5·7

|}

|

{| class="wikitable"

|+ 281–300

|-

|281||281

|-

|282||2·3·47

|-

|283||283

|-

|284||2²·71

|-

|285||3·5·19

|-

|286||2·11·13

|-

|287||7·41

|-

|288||2⁵·3²

|-

|289||17²

|-

|290||2·5·29

|-

|291||3·97

|-

|292||2²·73

|-

|293||293

|-

|294||2·3·7²

|-

|295||5·59

|-

|296||2³·37

|-

|297||3³·11

|-

|298||2·149

|-

|299||13·23

|-

|300||2²·3·5²

|}

|}

301 to 400

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 301–320

|-

|301||7·43

|-

|302||2·151

|-

|303||3·101

|-

|304||2⁴·19

|-

|305||5·61

|-

|306||2·3²·17

|-

|307||307

|-

|308||2²·7·11

|-

|309||3·103

|-

|310||2·5·31

|-

|311||311

|-

|312||2³·3·13

|-

|313||313

|-

|314||2·157

|-

|315||3²·5·7

|-

|316||2²·79

|-

|317||317

|-

|318||2·3·53

|-

|319||11·29

|-

|320||2⁶·5

|}

|

{| class="wikitable"

|+ 321–340

|-

|321||3·107

|-

|322||2·7·23

|-

|323||17·19

|-

|324||2²·3⁴

|-

|325||5²·13

|-

|326||2·163

|-

|327||3·109

|-

|328||2³·41

|-

|329||7·47

|-

|330||2·3·5·11

|-

|331||331

|-

|332||2²·83

|-

|333||3²·37

|-

|334||2·167

|-

|335||5·67

|-

|336||2⁴·3·7

|-

|337||337

|-

|338||2·13²

|-

|339||3·113

|-

|340||2²·5·17

|}

|

{| class="wikitable"

|+ 341–360

|-

|341||11·31

|-

|342||2·3²·19

|-

|343||7³

|-

|344||2³·43

|-

|345||3·5·23

|-

|346||2·173

|-

|347||347

|-

|348||2²·3·29

|-

|349||349

|-

|350||2·5²·7

|-

|351||3³·13

|-

|352||2⁵·11

|-

|353||353

|-

|354||2·3·59

|-

|355||5·71

|-

|356||2²·89

|-

|357||3·7·17

|-

|358||2·179

|-

|359||359

|-

|360||2³·3²·5

|}

|

{| class="wikitable"

|+ 361–380

|-

|361||19²

|-

|362||2·181

|-

|363||3·11²

|-

|364||2²·7·13

|-

|365||5·73

|-

|366||2·3·61

|-

|367||367

|-

|368||2⁴·23

|-

|369||3²·41

|-

|370||2·5·37

|-

|371||7·53

|-

|372||2²·3·31

|-

|373||373

|-

|374||2·11·17

|-

|375||3·5³

|-

|376||2³·47

|-

|377||13·29

|-

|378||2·3³·7

|-

|379||379

|-

|380||2²·5·19

|}

|

{| class="wikitable"

|+ 381–400

|-

|381||3·127

|-

|382||2·191

|-

|383||383

|-

|384||2⁷·3

|-

|385||5·7·11

|-

|386||2·193

|-

|387||3²·43

|-

|388||2²·97

|-

|389||389

|-

|390||2·3·5·13

|-

|391||17·23

|-

|392||2³·7²

|-

|393||3·131

|-

|394||2·197

|-

|395||5·79

|-

|396||2²·3²·11

|-

|397||397

|-

|398||2·199

|-

|399||3·7·19

|-

|400||2⁴·5²

|}

|}

401 to 500

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 401–420

|-

|401||401

|-

|402||2·3·67

|-

|403||13·31

|-

|404||2²·101

|-

|405||3⁴·5

|-

|406||2·7·29

|-

|407||11·37

|-

|408||2³·3·17

|-

|409||409

|-

|410||2·5·41

|-

|411||3·137

|-

|412||2²·103

|-

|413||7·59

|-

|414||2·3²·23

|-

|415||5·83

|-

|416||2⁵·13

|-

|417||3·139

|-

|418||2·11·19

|-

|419||419

|-

|420||2²·3·5·7

|}

|

{| class="wikitable"

|+ 421–440

|-

|421||421

|-

|422||2·211

|-

|423||3²·47

|-

|424||2³·53

|-

|425||5²·17

|-

|426||2·3·71

|-

|427||7·61

|-

|428||2²·107

|-

|429||3·11·13

|-

|430||2·5·43

|-

|431||431

|-

|432||2⁴·3³

|-

|433||433

|-

|434||2·7·31

|-

|435||3·5·29

|-

|436||2²·109

|-

|437||19·23

|-

|438||2·3·73

|-

|439||439

|-

|440||2³·5·11

|}

|

{| class="wikitable"

|+ 441–460

|-

|441||3²·7²

|-

|442||2·13·17

|-

|443||443

|-

|444||2²·3·37

|-

|445||5·89

|-

|446||2·223

|-

|447||3·149

|-

|448||2⁶·7

|-

|449||449

|-

|450||2·3²·5²

|-

|451||11·41

|-

|452||2²·113

|-

|453||3·151

|-

|454||2·227

|-

|455||5·7·13

|-

|456||2³·3·19

|-

|457||457

|-

|458||2·229

|-

|459||3³·17

|-

|460||2²·5·23

|}

|

{| class="wikitable"

|+ 461–480

|-

|461||461

|-

|462||2·3·7·11

|-

|463||463

|-

|464||2⁴·29

|-

|465||3·5·31

|-

|466||2·233

|-

|467||467

|-

|468||2²·3²·13

|-

|469||7·67

|-

|470||2·5·47

|-

|471||3·157

|-

|472||2³·59

|-

|473||11·43

|-

|474||2·3·79

|-

|475||5²·19

|-

|476||2²·7·17

|-

|477||3²·53

|-

|478||2·239

|-

|479||479

|-

|480||2⁵·3·5

|}

|

{| class="wikitable"

|+ 481–500

|-

|481||13·37

|-

|482||2·241

|-

|483||3·7·23

|-

|484||2²·11²

|-

|485||5·97

|-

|486||2·3⁵

|-

|487||487

|-

|488||2³·61

|-

|489||3·163

|-

|490||2·5·7²

|-

|491||491

|-

|492||2²·3·41

|-

|493||17·29

|-

|494||2·13·19

|-

|495||3²·5·11

|-

|496||2⁴·31

|-

|497||7·71

|-

|498||2·3·83

|-

|499||499

|-

|500||2²·5³

|}

|}

501 to 600

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 501–520

|-

|501||3·167

|-

|502||2·251

|-

|503||503

|-

|504||2³·3²·7

|-

|505||5·101

|-

|506||2·11·23

|-

|507||3·13²

|-

|508||2²·127

|-

|509||509

|-

|510||2·3·5·17

|-

|511||7·73

|-

|512||2⁹

|-

|513||3³·19

|-

|514||2·257

|-

|515||5·103

|-

|516||2²·3·43

|-

|517||11·47

|-

|518||2·7·37

|-

|519||3·173

|-

|520||2³·5·13

|}

|

{| class="wikitable"

|+ 521–540

|-

|521||521

|-

|522||2·3²·29

|-

|523||523

|-

|524||2²·131

|-

|525||3·5²·7

|-

|526||2·263

|-

|527||17·31

|-

|528||2⁴·3·11

|-

|529||23²

|-

|530||2·5·53

|-

|531||3²·59

|-

|532||2²·7·19

|-

|533||13·41

|-

|534||2·3·89

|-

|535||5·107

|-

|536||2³·67

|-

|537||3·179

|-

|538||2·269

|-

|539||7²·11

|-

|540||2²·3³·5

|}

|

{| class="wikitable"

|+ 541–560

|-

|541||541

|-

|542||2·271

|-

|543||3·181

|-

|544||2⁵·17

|-

|545||5·109

|-

|546||2·3·7·13

|-

|547||547

|-

|548||2²·137

|-

|549||3²·61

|-

|550||2·5²·11

|-

|551||19·29

|-

|552||2³·3·23

|-

|553||7·79

|-

|554||2·277

|-

|555||3·5·37

|-

|556||2²·139

|-

|557||557

|-

|558||2·3²·31

|-

|559||13·43

|-

|560||2⁴·5·7

|}

|

{| class="wikitable"

|+ 561–580

|-

|561||3·11·17

|-

|562||2·281

|-

|563||563

|-

|564||2²·3·47

|-

|565||5·113

|-

|566||2·283

|-

|567||3⁴·7

|-

|568||2³·71

|-

|569||569

|-

|570||2·3·5·19

|-

|571||571

|-

|572||2²·11·13

|-

|573||3·191

|-

|574||2·7·41

|-

|575||5²·23

|-

|576||2⁶·3²

|-

|577||577

|-

|578||2·17²

|-

|579||3·193

|-

|580||2²·5·29

|}

|

{| class="wikitable"

|+ 581–600

|-

|581||7·83

|-

|582||2·3·97

|-

|583||11·53

|-

|584||2³·73

|-

|585||3²·5·13

|-

|586||2·293

|-

|587||587

|-

|588||2²·3·7²

|-

|589||19·31

|-

|590||2·5·59

|-

|591||3·197

|-

|592||2⁴·37

|-

|593||593

|-

|594||2·3³·11

|-

|595||5·7·17

|-

|596||2²·149

|-

|597||3·199

|-

|598||2·13·23

|-

|599||599

|-

|600||2³·3·5²

|}

|}

601 to 700

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 601–620

|-

|601||601

|-

|602||2·7·43

|-

|603||3²·67

|-

|604||2²·151

|-

|605||5·11²

|-

|606||2·3·101

|-

|607||607

|-

|608||2⁵·19

|-

|609||3·7·29

|-

|610||2·5·61

|-

|611||13·47

|-

|612||2²·3²·17

|-

|613||613

|-

|614||2·307

|-

|615||3·5·41

|-

|616||2³·7·11

|-

|617||617

|-

|618||2·3·103

|-

|619||619

|-

|620||2²·5·31

|}

|

{| class="wikitable"

|+ 621–640

|-

|621||3³·23

|-

|622||2·311

|-

|623||7·89

|-

|624||2⁴·3·13

|-

|625||5⁴

|-

|626||2·313

|-

|627||3·11·19

|-

|628||2²·157

|-

|629||17·37

|-

|630||2·3²·5·7

|-

|631||631

|-

|632||2³·79

|-

|633||3·211

|-

|634||2·317

|-

|635||5·127

|-

|636||2²·3·53

|-

|637||7²·13

|-

|638||2·11·29

|-

|639||3²·71

|-

|640||2⁷·5

|}

|

{| class="wikitable"

|+ 641–660

|-

|641||641

|-

|642||2·3·107

|-

|643||643

|-

|644||2²·7·23

|-

|645||3·5·43

|-

|646||2·17·19

|-

|647||647

|-

|648||2³·3⁴

|-

|649||11·59

|-

|650||2·5²·13

|-

|651||3·7·31

|-

|652||2²·163

|-

|653||653

|-

|654||2·3·109

|-

|655||5·131

|-

|656||2⁴·41

|-

|657||3²·73

|-

|658||2·7·47

|-

|659||659

|-

|660||2²·3·5·11

|}

|

{| class="wikitable"

|+ 661–680

|-

|661||661

|-

|662||2·331

|-

|663||3·13·17

|-

|664||2³·83

|-

|665||5·7·19

|-

|666||2·3²·37

|-

|667||23·29

|-

|668||2²·167

|-

|669||3·223

|-

|670||2·5·67

|-

|671||11·61

|-

|672||2⁵·3·7

|-

|673||673

|-

|674||2·337

|-

|675||3³·5²

|-

|676||2²·13²

|-

|677||677

|-

|678||2·3·113

|-

|679||7·97

|-

|680||2³·5·17

|}

|

{| class="wikitable"

|+ 681–700

|-

|681||3·227

|-

|682||2·11·31

|-

|683||683

|-

|684||2²·3²·19

|-

|685||5·137

|-

|686||2·7³

|-

|687||3·229

|-

|688||2⁴·43

|-

|689||13·53

|-

|690||2·3·5·23

|-

|691||691

|-

|692||2²·173

|-

|693||3²·7·11

|-

|694||2·347

|-

|695||5·139

|-

|696||2³·3·29

|-

|697||17·41

|-

|698||2·349

|-

|699||3·233

|-

|700||2²·5²·7

|}

|}

701 to 800

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 701–720

|-

|701||701

|-

|702||2·3³·13

|-

|703||19·37

|-

|704||2⁶·11

|-

|705||3·5·47

|-

|706||2·353

|-

|707||7·101

|-

|708||2²·3·59

|-

|709||709

|-

|710||2·5·71

|-

|711||3²·79

|-

|712||2³·89

|-

|713||23·31

|-

|714||2·3·7·17

|-

|715||5·11·13

|-

|716||2²·179

|-

|717||3·239

|-

|718||2·359

|-

|719||719

|-

|720||2⁴·3²·5

|}

|

{| class="wikitable"

|+ 721–740

|-

|721||7·103

|-

|722||2·19²

|-

|723||3·241

|-

|724||2²·181

|-

|725||5²·29

|-

|726||2·3·11²

|-

|727||727

|-

|728||2³·7·13

|-

|729||3⁶

|-

|730||2·5·73

|-

|731||17·43

|-

|732||2²·3·61

|-

|733||733

|-

|734||2·367

|-

|735||3·5·7²

|-

|736||2⁵·23

|-

|737||11·67

|-

|738||2·3²·41

|-

|739||739

|-

|740||2²·5·37

|}

|

{| class="wikitable"

|+ 741–760

|-

|741||3·13·19

|-

|742||2·7·53

|-

|743||743

|-

|744||2³·3·31

|-

|745||5·149

|-

|746||2·373

|-

|747||3²·83

|-

|748||2²·11·17

|-

|749||7·107

|-

|750||2·3·5³

|-

|751||751

|-

|752||2⁴·47

|-

|753||3·251

|-

|754||2·13·29

|-

|755||5·151

|-

|756||2²·3³·7

|-

|757||757

|-

|758||2·379

|-

|759||3·11·23

|-

|760||2³·5·19

|}

|

{| class="wikitable"

|+ 761–780

|-

|761||761

|-

|762||2·3·127

|-

|763||7·109

|-

|764||2²·191

|-

|765||3²·5·17

|-

|766||2·383

|-

|767||13·59

|-

|768||2⁸·3

|-

|769||769

|-

|770||2·5·7·11

|-

|771||3·257

|-

|772||2²·193

|-

|773||773

|-

|774||2·3²·43

|-

|775||5²·31

|-

|776||2³·97

|-

|777||3·7·37

|-

|778||2·389

|-

|779||19·41

|-

|780||2²·3·5·13

|}

|

{| class="wikitable"

|+ 781–800

|-

|781||11·71

|-

|782||2·17·23

|-

|783||3³·29

|-

|784||2⁴·7²

|-

|785||5·157

|-

|786||2·3·131

|-

|787||787

|-

|788||2²·197

|-

|789||3·263

|-

|790||2·5·79

|-

|791||7·113

|-

|792||2³·3²·11

|-

|793||13·61

|-

|794||2·397

|-

|795||3·5·53

|-

|796||2²·199

|-

|797||797

|-

|798||2·3·7·19

|-

|799||17·47

|-

|800||2⁵·5²

|}

|}

801 to 900

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 801–820

|-

| 801 ||3²·89

|-

| 802 ||2·401

|-

| 803 ||11·73

|-

| 804 ||2²·3·67

|-

| 805 ||5·7·23

|-

| 806 ||2·13·31

|-

| 807 ||3·269

|-

| 808 ||2³·101

|-

| 809 ||809

|-

| 810 ||2·3⁴·5

|-

| 811 ||811

|-

| 812 ||2²·7·29

|-

| 813 ||3·271

|-

| 814 ||2·11·37

|-

| 815 ||5·163

|-

| 816 ||2⁴·3·17

|-

| 817 ||19·43

|-

| 818 ||2·409

|-

| 819 ||3²·7·13

|-

| 820 ||2²·5·41

|}

|

{| class="wikitable"

|+ 821–840

|-

| 821 ||821

|-

| 822 ||2·3·137

|-

| 823 ||823

|-

| 824 ||2³·103

|-

| 825 ||3·5²·11

|-

| 826 ||2·7·59

|-

| 827 ||827

|-

| 828 ||2²·3²·23

|-

| 829 ||829

|-

| 830 ||2·5·83

|-

| 831 ||3·277

|-

| 832 ||2⁶·13

|-

| 833 ||7²·17

|-

| 834 ||2·3·139

|-

| 835 ||5·167

|-

| 836 ||2²·11·19

|-

| 837 ||3³·31

|-

| 838 ||2·419

|-

| 839 ||839

|-

| 840 ||2³·3·5·7

|}

|

{| class="wikitable"

|+ 841–860

|-

| 841 ||29²

|-

| 842 ||2·421

|-

| 843 ||3·281

|-

| 844 ||2²·211

|-

| 845 ||5·13²

|-

| 846 ||2·3²·47

|-

| 847 ||7·11²

|-

| 848 ||2⁴·53

|-

| 849 ||3·283

|-

| 850 ||2·5²·17

|-

| 851 ||23·37

|-

| 852 ||2²·3·71

|-

| 853 ||853

|-

| 854 ||2·7·61

|-

| 855 ||3²·5·19

|-

| 856 ||2³·107

|-

| 857 ||857

|-

| 858 ||2·3·11·13

|-

| 859 ||859

|-

| 860 ||2²·5·43

|}

|

{| class="wikitable"

|+ 861 - 880

|-

| 861 ||3·7·41

|-

| 862 ||2·431

|-

| 863 ||863

|-

| 864 ||2⁵·3³

|-

| 865 ||5·173

|-

| 866 ||2·433

|-

| 867 ||3·17²

|-

| 868 ||2²·7·31

|-

| 869 ||11·79

|-

| 870 ||2·3·5·29

|-

| 871 ||13·67

|-

| 872 ||2³·109

|-

| 873 ||3²·97

|-

| 874 ||2·19·23

|-

| 875 ||5³·7

|-

| 876 ||2²·3·73

|-

| 877 ||877

|-

| 878 ||2·439

|-

| 879 ||3·293

|-

| 880 ||2⁴·5·11

|}

|

{| class="wikitable"

|+ 881–900

|-

| 881 ||881

|-

| 882 ||2·3²·7²

|-

| 883 ||883

|-

| 884 ||2²·13·17

|-

| 885 ||3·5·59

|-

| 886 ||2·443

|-

| 887 ||887

|-

| 888 ||2³·3·37

|-

| 889 ||7·127

|-

| 890 ||2·5·89

|-

| 891 ||3⁴·11

|-

| 892 ||2²·223

|-

| 893 ||19·47

|-

| 894 ||2·3·149

|-

| 895 ||5·179

|-

| 896 ||2⁷·7

|-

| 897 ||3·13·23

|-

| 898 ||2·449

|-

| 899 ||29·31

|-

|900||2²·3²·5²

|}

|}

901 to 1000

{| border="0" cellpadding="3" cellspacing="0"

|

{| class="wikitable"

|+ 901–920

|-

| 901 ||17·53

|-

| 902 ||2·11·41

|-

| 903 ||3·7·43

|-

| 904 ||2³·113

|-

| 905 ||5·181

|-

| 906 ||2·3·151

|-

| 907 ||907

|-

| 908 ||2²·227

|-

| 909 ||3²·101

|-

| 910 ||2·5·7·13

|-

| 911 ||911

|-

| 912 ||2⁴·3·19

|-

| 913 ||11·83

|-

| 914 ||2·457

|-

| 915 ||3·5·61

|-

| 916 ||2²·229

|-

| 917 ||7·131

|-

| 918 ||2·3³·17

|-

| 919 ||919

|-

| 920 ||2³·5·23

|}

|

{| class="wikitable"

|+ 921 - 940

|-

| 921 ||3·307

|-

| 922 ||2·461

|-

| 923 ||13·71

|-

| 924 ||2²·3·7·11

|-

| 925 ||5²·37

|-

| 926 ||2·463

|-

| 927 ||3²·103

|-

| 928 ||2⁵·29

|-

| 929 ||929

|-

| 930 ||2·3·5·31

|-

| 931 ||7²·19

|-

| 932 ||2²·233

|-

| 933 ||3·311

|-

| 934 ||2·467

|-

| 935 ||5·11·17

|-

| 936 ||2³·3²·13

|-

| 937 ||937

|-

| 938 ||2·7·67

|-

| 939 ||3·313

|-

| 940 ||2²·5·47

|}

|

{| class="wikitable"

|+ 941–960

|-

| 941 ||941

|-

| 942 ||2·3·157

|-

| 943 ||23·41

|-

| 944 ||2⁴·59

|-

| 945 ||3³·5·7

|-

| 946 ||2·11·43

|-

| 947 ||947

|-

| 948 ||2²·3·79

|-

| 949 ||13·73

|-

| 950 ||2·5²·19

|-

| 951 ||3·317

|-

| 952 ||2³·7·17

|-

| 953 ||953

|-

| 954 ||2·3²·53

|-

| 955 ||5·191

|-

| 956 ||2²·239

|-

| 957 ||3·11·29

|-

| 958 ||2·479

|-

| 959 ||7·137

|-

| 960 ||2⁶·3·5

|}

|

{| class="wikitable"

|+ 961–980

|-

| 961 ||31²

|-

| 962 ||2·13·37

|-

| 963 ||3²·107

|-

| 964 ||2²·241

|-

| 965 ||5·193

|-

| 966 ||2·3·7·23

|-

| 967 ||967

|-

| 968 ||2³·11²

|-

| 969 ||3·17·19

|-

| 970 ||2·5·97

|-

| 971 ||971

|-

| 972 ||2²·3⁵

|-

| 973 ||7·139

|-

| 974 ||2·487

|-

| 975 ||3·5²·13

|-

| 976 ||2⁴·61

|-

| 977 ||977

|-

| 978 ||2·3·163

|-

| 979 ||11·89

|-

| 980 ||2²·5·7²

|}

|

{| class="wikitable"

|+ 981–1000

|-

| 981 ||3²·109

|-

| 982 ||2·491

|-

| 983 ||983

|-

| 984 ||2³·3·41

|-

| 985 ||5·197

|-

| 986 ||2·17·29

|-

| 987 ||3·7·47

|-

| 988 ||2²·13·19

|-

| 989 ||23·43

|-

| 990 ||2·3²·5·11

|-

| 991 ||991

|-

| 992 ||2⁵·31

|-

| 993 ||3·331

|-

| 994 ||2·7·71

|-

| 995 ||5·199

|-

| 996 ||2²·3·83

|-

| 997 ||997

|-

| 998 ||2·499

|-

| 999 ||3³·37

|-

| 1000 ||2³·5³

|}

|}

See also