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== عمومی خصوصیات ==
== دوسرے ہزارہ کے خاص عدد (1001–1999) ==
{{صحیح اعداد}}
=== 1001–1249 ===
:[[1001 (عدد)|1001]] – [[sphenic number]] (7 × 11 × 13), [[pentagonal number]], [[pentatope number]]
:1002 – sphenic number, [[Mertens function]] zero, [[زائد عدد]]
:1005 – Mertens function zero; first number written in English containing all five vowels a e i o u.
:1008 – divisible by the number of primes below it
:1009 – first [[مفرد عدد]] above 1000, [[palindromic number|palindromic]] in bases 11, 15, 19, 24 and 28: (838<sub>11</sub>, 474<sub>15</sub>, 2F2<sub>19</sub>, 1I1<sub>24</sub>, 181<sub>28</sub>)
:1010 – Mertens function zero
:1013 – [[Sophie Germain prime]], [[centered square number]], Mertens function zero
:1014 – Mertens function zero
:1015 – [[square pyramidal number]]
:1016 – member of the [[Mian–Chowla sequence]]
:1017 – [[1017 Brick Squad Records|Brick Squad]]
:1018 – Mertens function zero
:1019 – [[Sophie Germain prime]], [[safe prime]]
:1020 – [[polydivisible number]]
:1023 – the highest number one can count to on one's fingers using binary; also the magic number used in [[عالمی مقامیابی نظام]] signals
:[[1024 (عدد)|1024]] – <math>2^{10}</math>, the number of [[بائٹ]]s in a [[كلو بائٹ]] (in 1999, the [[International Electrotechnical Commission|IEC]] coined kibibyte to use for 1024 with kilobyte being 1000, but this convention has not been widely adopted)
:1027 – sum of the squares of the first eight primes; can be written from base 2 to base 18 using only the digits 0 to 9.
:1028 – sum of totient function for first 58 integers; can be written from base 2 to base 18 using only the digits 0 to 9.
:1029 – can be written from base 2 to base 18 using only the digits 0 to 9.
:1031 – [[Sophie Germain prime]]
:1033 – locale ID of [[American English|English (United States)]] in (some version of) [[مائیکروسافٹ ونڈوز|Windows]].[http://msdn2.microsoft.com/en-us/library/0h88fahh%20(VS.80).aspx].
:1035 – [[triangular number]], [[hexagonal number]]
:1049 – [[Sophie Germain prime]], [[highly cototient number]]
:1051 – [[centered pentagonal number]]
:1056 – [[pronic number]]
:1060 – sum of the first 25 primes
:1071 – [[heptagonal number]]
:1072 – [[centered heptagonal number]]
:1079 – every positive integer is the sum of at most 1079 tenth powers.
:1080 – pentagonal number
:1081 – triangular number, member of [[Padovan sequence]]
:1086 – [[Smith number]], sum of totient function for first 59 integers
:1087 – [[Chen prime]], [[cousin prime]], [[lucky prime]], [[Kynea number]]
:[[1089 (عدد)|1089]] – <math>33^2</math>, [[nonagonal number]], [[centered octagonal number]]
:1091 – [[cousin prime]] and [[twin prime]]
:1092 – divisible by the number of primes below it
:[[1093 (عدد)|1093]] – the smallest [[Wieferich prime]] (the only other known [[Wieferich prime]] is 3511<ref>Wells, D. ''[[The Penguin Dictionary of Curious and Interesting Numbers]]'' London: Penguin Group. (1987): 163</ref>), [[twin prime]] and [[star number]]
:1102 – sum of totient function for first 60 integers
:1103 – [[Sophie Germain prime]], [[balanced prime]]
:1104 – [[Keith number]]
:1105 – [[Carmichael number]], [[magic constant]] of ''n'' × ''n'' normal [[جادوئی خانے]] and [[Eight queens puzzle|''n''-queens problem]] for ''n'' = 13, [[decagonal number]], centered square number, 1105 = 33<sup>2</sup> + 4<sup>2</sup> = 32<sup>2</sup> + 9<sup>2</sup> = 31<sup>2</sup> + 12<sup>2</sup> = 23<sup>2</sup> + 24<sup>2</sup>
:1116 – divisible by the number of primes below it
:1122 – pronic number, divisible by the number of primes below it
:1123 – [[balanced prime]]
:1124 – [[Leyland number]]
:1128 – triangular number, hexagonal number, divisible by the number of primes below it
:1134 - divisible by the number of primes below it
:[[1138 (عدد)|1138]] – recurring number in the works of [[George Lucas]] and his companies, beginning with his first feature film – ''[[THX 1138]]''; particularly, a special code for Easter eggs on ''[[Star Wars]]'' DVDs.
:1140 – [[tetrahedral number]]
:1152 – [[highly totient number]]
:1153 – [[Proth prime]]
:1156 – <math>34^2</math>, [[octahedral number]], centered pentagonal number, Centered Hendecagonal number.
:1159 – member of the Mian–Chowla sequence
:1161 – sum of the first 26 primes
:1162 – pentagonal number, sum of totient function for first 61 integers
:1169 – highly cototient number
:1170 – highest possible score in a [[National Academic Quiz Tournaments]] (NAQT) match
:1176 – triangular number
:1177 – heptagonal number
:1184 – [[محبانہ عدد]] with 1210<ref>{{cite book |title=Number Story: From Counting to Cryptography |last=Higgins |first=Peter |year=2008 |publisher=Copernicus |location=New York |isbn=978-1-84800-000-1 |page=61 |pages=}}</ref>
:1187 – safe prime, [[Stern prime]], balanced prime
:1190 – pronic number
:1192 – sum of totient function for first 62 integers
:1198 – centered heptagonal number
:1200 – the '''[[long thousand]]''', ten "[[long hundred]]s" of 120 each, the traditional reckoning of large numbers in [[جرمنیہ زبانیں]]<br>the number of households the [[Nielsen ratings]] sample<ref>Meehan, Eileen R., ''Why TV is not our fault: television programming, viewers, and who's really in control'' Lanham, MD: Rowman & Littlefield, 2005</ref>
:1201 – centered square number
:1210 – amicable number with 1184<ref>Higgins, ibid.</ref>
:1216 – nonagonal number
:1217 – Proth prime
:1219 – Mertens function zero
:1220 – Mertens function zero
:1223 – [[Sophie Germain prime]], balanced prime
:1225 – <math>35^2</math>, triangular number, [[square triangular number]], hexagonal number, centered octagonal number
:1228 – sum of totient function for first 63 integers
:1229 – [[Sophie Germain prime]], number of primes between 0 and 10000
:1233 – <math>12^2 + 33^2</math>
:1240 – square pyramidal number
:1241 – [[centered cube number]]
:1242 – decagonal number
:1247 – pentagonal number
:1249 – emirp, [[trimorphic number]]
=== 1250–1499 ===
:1255 – [[Mertens function]] zero
:1256 – Mertens function zero
:1258 – Mertens function zero
:1259 – [[highly cototient number]]
:1260 – [[highly composite number]], pronic number, the smallest [[vampire number]], sum of totient function for first 64 integers, this number appears twice in the [[یوحنا کا مکاشفہ]]
:1261 – star number, Mertens function zero
:1264 – sum of the first 27 primes
:1266 – centered pentagonal number, Mertens function zero
:1270 – Mertens function zero
:1275 – triangular number, sum of the first 50 natural numbers
:1279 – Mertens function zero
:1280 – Mertens function zero
:1282 – Mertens function zero
:1283 – safe prime
:1285 – Mertens function zero
:1288 – heptagonal number
:[[1289 (عدد)|1289]] – Sophie Germain prime, Mertens function zero
:1291 – Mertens function zero
:1292 – Mertens function zero
:1296 – 6<sup>4</sup>, 36<sup>2</sup>, sum of the cubes of the first eight positive integers, the number of [[مستطیل]]s on a normal 8 × 8 [[تختہ شطرنج]]
:1297 – Mertens function zero
:1299 – Mertens function zero
:1300 – Sum of the first 4 fifth powers, mertens function zero, largest possible win margin in an NAQT match
:1301 – centered square number
:1302 – Mertens function zero
:1306 – Mertens function zero
:1307 – safe prime
:1308 – sum of totient function for first 65 integers
:1309 – the first [[sphenic number]] followed by two consecutive such number
:1312 – member of the Mian–Chowla sequence; code for "[[A.C.A.B.|ACAB]]" itself an acronym for "all cops are bastards"<ref>{{Cite journal|url=http://www.thelocal.de/20150428/fck-cps-high-court-agrees|title=Constitutional Court allows 'FCK CPS' sticker|date=28 April 2015|quote="...state court in Karlsruhe ruled that a banner ... that read 'ACAB' - an abbreviation of 'all cops are bastards' ... a punishable insult. ... A court in Frankfurt ... the numbers '1312' constituted an insult ... the numerals stand for the letters ACAB's position in the alphabet.| archiveurl = http://web.archive.org/web/20181223202051/https://www.thelocal.de/20150428/fck-cps-high-court-agrees | archivedate = 23 دسمبر 2018 }}</ref>
:1318 – Mertens function zero
:1319 – safe prime
:1325 – [[Markov number]]
:1326 – triangular number, hexagonal number, Mertens function zero
:1327 – first prime followed by 32 consecutive composite numbers
:1328 – sum of totient function for first 66 integers
:1329 – Mertens function zero
:1330 – tetrahedral number, forms a [[Ruth–Aaron pair]] with 1331 under second definition
:1331 – 11<sup>3</sup>, centered heptagonal number, forms a Ruth–Aaron pair with 1330 under second definition. This is the only cube of the form x<sup>2</sup>+x-1, for x=36.
:1332 – pronic number
:1335 – pentagonal number, Mertens function zero
:1336 – Mertens function zero
:1337 – Used in the novel form of spelling called [[leet]]
:1338 – Mertens function zero
:1342 – Mertens function zero
:1350 – nonagonal number
:1365 – pentatope number
:1367 – safe prime, balanced prime
:1369 – 37<sup>2</sup>, centered octagonal number
:1371 – sum of the first 28 primes
:1378 – triangular number
:1379 – [[magic constant]] of ''n'' × ''n'' normal [[جادوئی خانے]] and [[Eight queens puzzle|''n''-queens problem]] for ''n'' = 14.
:1381 – centered pentagonal number
:1387 – 5th [[Fermat pseudoprime]] of base 2, 22nd [[centered hexagonal number]] and the 19th [[decagonal number]], second [[Super-Poulet number]].
:1394 – sum of totient function for first 67 integers
:1395 – [[vampire number]], member of the Mian–Chowla sequence
:1404 – heptagonal number
:1405 – <math>26^2 + 27^2</math>, <math>7^2 + 8^2 + \cdots + 16^2</math>, centered square number
:1406 – pronic number, [[semi-meandric number]]
:1409 – Sophie Germain prime, smallest number whose eighth power is the sum of 8 eighth powers, Proth prime
:1419 – [[Zeisel number]]
:1425 – [[self-descriptive number]] in base 5
:1426 – sum of totient function for first 68 integers
:1426 – pentagonal number
:1430 – [[کیٹیلان عدد]]
:1431 – triangular number, hexagonal number
:1432 – member of Padovan sequence
:1433 - Typical port used for remote connections to [[مائیکروسافٹ]] [[Microsoft SQL Server|SQL Server]] [[ڈیٹا بیس]]s
:1435 – [[vampire number]]; the standard railway gauge in millimetres, equivalent to 4' 8½"
:1439 – Sophie Germain prime, safe prime
:1440 – a [[highly totient number]] and a 481-[[polygonal number|gonal number]]. Also, the number of [[دقیقہ (وقت)|دقیقہ]]s in one day, the blocksize of a standard 3.5" [[فلاپی ڈسک]], and the horizontal resolution of [[WSXGA Wide XGA+|WXGA(II)]] computer displays
:1441 – star number
:1444 – <math>38^2</math>, smallest [[pandigital number]] in [[رومن اعداد]]
:1451 – Sophie Germain prime
:[[1458 (عدد)|1458]]
:1469 – octahedral number, highly cototient number
:1470 – [[pentagonal pyramidal number]], sum of totient function for first 69 integers
:1471 – centered heptagonal number
:1480 – sum of the first 29 primes
:1481 – Sophie Germain prime
:1482 – pronic number
:1485 – triangular number
:1487 – safe prime
:1490 – [[tetranacci number]]
:1491 – nonagonal number, Mertens function zero
:1492 – Mertens function zero
:1493 – Stern prime
:1494 – sum of totient function for first 70 integers
:1496 – square pyramidal number
:1499 – Sophie Germain prime
=== 1500–1749 ===
:1501 – centered pentagonal number
:[[1510 (عدد)|1510]] –
:1511 – Sophie Germain prime, balanced prime
:1513 – centered square number
:1518 – Mertens function zero
:1519 – Mertens function zero
:1520 – pentagonal number, Mertens function zero, forms a Ruth–Aaron pair with 1521 under second definition
:1521 – 39<sup>2</sup>, Mertens function zero, centered octagonal number, forms a Ruth–Aaron pair with 1520 under second definition
:1523 – Mertens function zero, safe prime, member of the Mian–Chowla sequence
:1524 – Mertens function zero
:1525 – heptagonal number, Mertens function zero
:1527 – Mertens function zero
:1528 – Mertens function zero
:1530 – [[vampire number]]
:1531 – Mertens function zero
:1532 – Mertens function zero
:1535 – [[Thabit number]]
:1537 – Keith number, Mertens function zero
:1540 – triangular number, hexagonal number, decagonal number, tetrahedral number
:1543 – Mertens function zero
:1544 – Mertens function zero
:1546 – Mertens function zero
:1556 – sum of the squares of the first nine primes
:1559 – Sophie Germain prime
:1560 – pronic number
:1564 – sum of totient function for first 71 integers
:1572 – member of the Mian–Chowla sequence
:1575 – odd [[زائد عدد]]
:1583 – Sophie Germain prime
:1588 – sum of totient function for first 72 integers
:1593 – sum of the first 30 primes
:1596 – triangular number
:1597 – [[Fibonacci number]], [[Markov number]], [[مفرد عدد]], [[emirp]]
:1600 – 40<sup>2</sup>, repdigit in base 7 (4444<sub>7</sub>), street number on Pennsylvania Avenue of the [[وائٹ ہاؤس]], Meters; Common High School Track Event, perfect score on [[ایس اے ٹی]] (except from 2005-2015)
:1601 – Sophie Germain prime, Proth prime, the novel ''[[1601 (Mark Twain)]]''
:1617 – pentagonal number
:1618 – centered heptagonal number
:1619 – safe prime
:1625 – centered square number
:1626 – centered pentagonal number
:1633 – star number
:1638 – [[harmonic divisor number]]
:1639 – nonagonal number
:1640 – pronic number
:1649 – highly cototient number, Leyland number
:1651 – heptagonal number
:1653 – triangular number, hexagonal number
:1657 – [[cuban prime]]
:1660 – sum of totient function for first 73 integers
:1666 – largest efficient [[pandigital number]] in [[رومن اعداد]] (each symbol occurs exactly once)
:1679 – highly cototient number, semiprime (23 × 73, see also [[Arecibo message]])
:1680 – highly composite number
:1681 – 41<sup>2</sup>, smallest number yielded by the formula <math>n^2 + n + 41</math> that is not a prime; centered octagonal number
:1682 – member of a Ruth–Aaron pair (first definition)
:1683 – member of a Ruth–Aaron pair (first definition)
:1695 – [[magic constant]] of ''n'' × ''n'' normal [[جادوئی خانے]] and [[Eight queens puzzle|''n''-queens problem]] for ''n'' = 15.
:1696 – sum of totient function for first 74 integers
:[[1701 (عدد)|1701]] – decagonal number, hull number of the U.S.S. Enterprise on ''[[Star Trek]]''
:1702 – palindromic in 3 consecutive bases: 898<sub>14</sub>, 787<sub>15</sub>, 6A6<sub>16</sub>
:1705 – [[tribonacci number]]
:1709 – first of a sequence of eight primes formed by adding [[57 (عدد)|57]] in the middle. 1709, 175709, 17575709, 1757575709, 175757575709, 17575757575709, 1757575757575709 and 175757575757575709 are all prime, but 17575757575757575709 = 232433 × 75616446785773
:1711 – triangular number
:1717 – pentagonal number
:1720 – sum of the first 31 primes
:1722 – [[Giuga number]], pronic number
:[[1728 (عدد)|1728]] – the quantity expressed as 1000 in [[duodecimal]], that is, the cube of [[12 (عدد)|twelve]] (called a [[1728 (عدد)|1728]]), and so, the number of cubic inches in a cubic [[فٹ|foot]], palindromic in base 11 (1331<sub>11</sub>) and 23 (363<sub>23></sub>)
:[[1729 (عدد)|1729]] – [[taxicab number]], Carmichael number, Zeisel number, centered cube number, [[1729 (عدد)]]. In the decimal expansion of [[E (ریاضیاتی دائم)|e]] the first time all 10 digits appear in sequence starts at the 1729th decimal place. In 1979 the rock musical ''[[Hair (musical)|Hair]]'' closed on Broadway in New York City after 1729 performances. Palindromic in bases 12, 32, 36.
:1733 – Sophie Germain prime, palindromic in bases 3, 18, 19.
:1736 – sum of totient function for first 75 integers
:1741 – centered square number
:1747 – balanced prime
=== 1750–1999 ===
:1753 – [[balanced prime]]
:1756 – centered pentagonal number
:1764 – 42<sup>2</sup>
:1770 – triangular number, hexagonal number, [[1770, Queensland|Town of Seventeen Seventy]] in Australia
:1771 – tetrahedral number
:1772 – centered heptagonal number, sum of totient function for first 76 integers
:1782 – heptagonal number
:1785 – square pyramidal number
:1791 – largest natural number that cannot be expressed as a sum of at most four [[hexagonal number]]s.
:1794 – nonagonal number
:1800 – pentagonal pyramidal number, also, in da Ponte's ''[[Don Giovanni]]'', the number of women Don Giovanni had slept with so far when confronted by Donna Elvira, according to Leporello's tally
:1801 – [[cuban prime]]
:1806 – pronic number, product of first four terms of [[Sylvester's sequence]], [[primary pseudoperfect number]]
:1807 – fifth term of Sylvester's sequence
:1811 – Sophie Germain prime
:1820 – pentagonal number, pentatope number
:1821 – member of the Mian–Chowla sequence
:1823 – safe prime
:1827 – [[vampire number]]
:1828 – [[meandric number]], [[open meandric number]]
:1830 – triangular number
:1832 – sum of totient function for first 77 integers
:1834 – octahedral number, sum of the cubes of the first five primes
:1836 – factor by which a [[اولیہ (جوہر)|proton]] is more massive than an [[برقیہ]]
:1837 – star number
:1841 – Mertens function zero
:1843 – Mertens function zero
:1844 – Mertens function zero
:1845 – Mertens function zero
:1849 – 43<sup>2</sup>, palindromic in base 6 (= 12321<sub>6</sub>), centered octagonal number
:1851 – sum of the first 32 primes
:1853 – Mertens function zero
:1854 – Mertens function zero
:1856 – sum of totient function for first 78 integers
:1857 – Mertens function zero
:1861 – centered square number, Mertens function zero
:1862 – Mertens function zero, forms a Ruth–Aaron pair with 1863 under second definition
:1863 – Mertens function zero, forms a Ruth–Aaron pair with 1862 under second definition
:1864 – Mertens function zero
:1866 – Mertens function zero
:1870 – decagonal number
:1885 – Zeisel number
:1889 – Sophie Germain prime, highly cototient number
:1891 – triangular number, hexagonal number, centered pentagonal number
:1892 – pronic number
:1896 – member of the Mian–Chowla sequence
:1897 – member of Padovan sequence
:1900 – [[1900 (film)|''1900'' (film)]] or ''Novecento'', 1977 movie
:1901 – Sophie Germain prime
:1907 – safe prime, balanced prime
:1909 – [[hyperperfect number]]
:1918 – heptagonal number
:1926 – pentagonal number
:1929 – Mertens function zero
:1931 – Sophie Germain prime
:1933 – centered heptagonal number, [[مفرد عدد]]
:1934 – sum of totient function for first 79 integers
:1936 – 44<sup>2</sup>,18-gon number, 324-gon number.
:1938 – Mertens function zero
:1951 – cuban prime, prime followed by a [[prime gap]] of 22.
:1953 – triangular number
:1956 – nonagonal number
:1966 – sum of totient function for first 80 integers
:1969 - Only value less than four million for which a "mod-ification" of the standard [[Ackermann Function]] does not stabilize <ref>{{cite journal
|title=A Mod-n Ackermann Function, or What's So Special About 1969?
|authors=Jon Froemke and Jerrold W. Grossman
|journal=[[The American Mathematical Monthly]]
|volume=100|issue=2|date=Feb 1993|pages= 180–183
|publisher=Mathematical Association of America
|jstor=2323780}}</ref>
:{{anchor|1973}} 1973 – Sophie Germain prime
:1979 – [[مفرد عدد]]
:1980 – pronic number
:1984 – 11111000000 in [[ثنائی عددی نظام]], see also: [[1984 (disambiguation)]]
:1985 – [[centered square number]]
:[[1987 (عدد)|1987]]
:1988 – sum of the first 33 primes
:1997 – [[مفرد عدد]]
{{صحیح اعداد}}
== حوالہ جات ==
{{حوالہ جات}}
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