مندرجات کا رخ کریں

2000 (عدد)

آزاد دائرۃ المعارف، ویکیپیڈیا سے
1999 2000 2001
لفظیدو (two) هزار
صفاتی2000
(دو (two) هزارth)
اجزائے ضربی24× 53
مقسوم علیہ1, 2000
رومن عددMM
یکرمزی علامات
ثنائی111110100002
ثلاثی22020023
رباعی1331004
خمسی310005
ستی131326
ثمانی37208
اثنا عشری11A812
ستہ عشری7D016
اساس بیس50020
اساس چھتیس1JK36

2000 (عدد) یعنی 2000 ایک عدد اور ایک علامت ہے۔ کچھ عددی نظاموں میں 1999 سے بڑا یا زیادہ اور 2001 سے چھوٹا یا کم ہوتا ہے۔ گنتی میں اسے دو ہزار یا بیس سو بولا جاتا ہے۔ اور اس سے پہلے ایک ہزار نو سو نینانوے یا انیس سو نینانوے اور اس کے بعد دو ہزار ایک یا بیس سو ایک بولا جاتا ہے۔

انفرادی خصوصیات

[ترمیم]

عمومی خصوصیات

[ترمیم]

تیسرے ہزارے (2001 تا 2999) کے خاص اعداد

[ترمیم]
  • 2001 (عدد)sphenic number
  • 2003 (عدد)Sophie Germain prime and the smallest prime number in 2000's
  • 2005 (عدد) – A vertically symmetric number
  • 2009 (عدد)
  • 2011 (عدد)Sexy prime number. Also, sum of eleven consecutive primes: 2011=157+163+167+173+179+181+191+193+197+199+211.
  • 2015 (عدد)Lucas–Carmichael number
  • 2016 (عدد)triangular number, number of 5-cubes in a 9-cube
  • 2017 (عدد)Mertens function zero. (2011, 2017) is a sexy prime pair.
  • 2020 (عدد) – sum of the totient function for the first 81 integers
  • 2024 (عدد)tetrahedral number
  • 2025 (عدد) – 452, sum of the cubes of the first nine integers, centered octagonal number
  • 2027 (عدد)safe prime
  • 2029 (عدد) – member of the Mian–Chowla sequence
  • 2030 (عدد)=
  • 2031 (عدد)centered pentagonal number
  • 2039 (عدد)Sophie Germain prime, safe prime
  • 2047 (عدد)super-Poulet number, Woodall number, decagonal number. Also, 2047 = 211 − 1 = 23 × 89 and is the first مرسن مفرد عدد that is composite for a prime exponent.
  • 2048 (عدد)power of two
  • 2056 (عدد)magic constant of n×n normal جادوئی خانے and n-queens problem for n = 16.
  • 2060 (عدد) – sum of the totient function for the first 82 integers
  • 2063 (عدد)Sophie Germain prime, safe prime
  • 2069 (عدد)Sophie Germain prime
  • 2070 (عدد)pronic number
  • 2080 (عدد) – triangular number
  • 2093 (عدد) – Mertens function zero
  • 2095 (عدد) – Mertens function zero
  • 2096 (عدد) – Mertens function zero
  • 2097 (عدد) – Mertens function zero
  • 2099 (عدد) – Mertens function zero, safe prime, highly cototient number
  • 2100 (عدد) – Mertens function zero
  • 2101 (عدد)centered heptagonal number
  • 2107 (عدد) – member of a Ruth–Aaron pair with 2108 (first definition)
  • 2108 (عدد) – member of a Ruth–Aaron pair with 2107 (first definition)
  • 2109 (عدد)square pyramidal number
  • 2112 (عدد) – The break-through album of the band Rush
  • 2113 (عدد) – Mertens function zero, Proth prime, centered square number
  • 2116 (عدد) – 462
  • 2117 (عدد) – Mertens function zero
  • 2119 (عدد) – Mertens function zero
  • 2120 (عدد) – Mertens function zero
  • 2122 (عدد) – Mertens function zero
  • 2125 (عدد)nonagonal number
  • 2127 (عدد) – sum of the first 34 primes
  • 2129 (عدد)Sophie Germain prime
  • 2135 (عدد) – Mertens function zero
  • 2136 (عدد) – Mertens function zero
  • 2138 (عدد) – Mertens function zero
  • 2141 (عدد)Sophie Germain prime
  • 2142 (عدد) – sum of the totient function for the first 83 integers
  • 2143 (عدد) – almost exactly 22π4
  • 2145 (عدد) – triangular number
  • 2162 (عدد) – pronic number
  • 2166 (عدد) – sum of the totient function for the first 84 integers
  • 2169 (عدد)Leyland number
  • 2171 (عدد) – Mertens function zero
  • 2172 (عدد) – Mertens function zero
  • 2178 (عدد) – reverses when multiplied by 4
  • 2175 (عدد) – smallest number requiring 143 seventh powers for Waring representation
  • 2176 (عدد)pentagonal pyramidal number, centered pentagonal number
  • 2179 (عدد)Wedderburn–Etherington number
  • 2187 (عدد) – 37, vampire number, perfect totient number
  • 2188 (عدد)Motzkin number
  • 2197 (عدد) – 13^3, palindromic in base 12 (133112)
  • 2199 (عدد) – perfect totient number
  • 2201 (عدد) – only known non-palindromic number whose مکعب is palindromic; also no known fourth or higher powers are palindromic for non-palindromic numbers
  • 2205 (عدد) – odd زائد عدد
  • 2207 (عدد)safe prime, Lucas prime
  • 2208 (عدد)Keith number
  • 2209 (عدد) – 472, palindromic in base 14 (B3B14), centered octagonal number
  • 2211 (عدد) – triangular number
  • 2222 (عدد)repdigit
  • 2223 (عدد)Kaprekar number
  • 2230 (عدد) – sum of the totient function for the first 85 integers
  • 2232 (عدد) – decagonal number
  • 2245 (عدد) – centered square number
  • 2254 (عدد) – member of the Mian–Chowla sequence
  • 2255 (عدد)octahedral number
  • 2256 (عدد) – pronic number
  • 2269 (عدد)cuban prime
  • 2272 (عدد) – sum of the totient function for the first 86 integers
  • 2273 (عدد)Sophie Germain prime
  • 2276 (عدد) – sum of the first 35 primes, centered heptagonal number
  • 2278 (عدد) – triangular number
  • 2287 (عدد)balanced prime
  • 2294 (عدد) – Mertens function zero
  • 2295 (عدد) – Mertens function zero
  • 2296 (عدد) – Mertens function zero
  • 2299 (عدد) – member of a Ruth–Aaron pair with 2300 (first definition)
  • 2300 (عدد) – tetrahedral number, member of a Ruth–Aaron pair with 2299 (first definition)
  • 2301 (عدد) – nonagonal number
  • 2304 (عدد) – 482
  • 2306 (عدد) – Mertens function zero
  • 2309 (عدد)primorial prime, Mertens function zero, highly cototient number
  • 2310 (عدد) – fifth primorial
  • 2311 (عدد) – primorial prime
  • 2321 (عدد) – Mertens function zero
  • 2322 (عدد) – Mertens function zero
  • 2326 (عدد) – centered pentagonal number
  • 2328 (عدد) – sum of the totient function for the first 87 integers, the number of groups of order 128, see [1]آرکائیو شدہ (Date missing) بذریعہ www-public.tu-bs.de (Error: unknown archive URL).
  • 2331 (عدد)centered cube number
  • 2338 (عدد) – Mertens function zero
  • 2339 (عدد)Sophie Germain prime
  • 2346 (عدد) – triangular number
  • 2351 (عدد)Sophie Germain prime
  • 2352 (عدد) – pronic number
  • 2357 (عدد)Smarandache–Wellin prime
  • 2368 (عدد) – sum of the totient function for the first 88 integers
  • 2378 (عدد)Pell number
  • 2379 (عدد) – member of the Mian–Chowla sequence
  • 2381 (عدد) – centered square number
  • 2393 (عدد)Sophie Germain prime
  • 2397 (عدد) – sum of the squares of the first ten primes
  • 2399 (عدد)Sophie Germain prime
  • 2400 (عدد) – perfect score on ایس اے ٹی tests administered after 2005
  • 2401 (عدد) – 74, 492, centered octagonal number
  • 2415 (عدد) – triangular number
  • 2417 (عدد) – balanced prime
  • 2425 (عدد) – decagonal number
  • 2427 (عدد) – sum of the first 36 primes
  • 2431 (عدد) – product of three consecutive primes
  • 2437 (عدد) – cuban prime
  • 2447 (عدد)safe prime
  • 2450 (عدد) – pronic number
  • 2456 (عدد) – sum of the totient function for the first 89 integers
  • 2458 (عدد) – centered heptagonal number
  • 2459 (عدد)Sophie Germain prime, safe prime
  • 2465 (عدد)magic constant of n×n normal جادوئی خانے and n-queens problem for n = 17, Carmichael number
  • 2470 (عدد) – square pyramidal number
  • 2480 (عدد) – sum of the totient function for the first 90 integers
  • 2481 (عدد) – centered pentagonal number
  • 2484 (عدد) – nonagonal number
  • 2485 (عدد) – triangular number
  • 2491 (عدد) – member of Ruth–Aaron pair with 2492 under second definition
  • 2492 (عدد) – member of Ruth–Aaron pair with 2491 under second definition
  • 2500 (عدد) – 502, palindromic in base 7 (102017
  • 2501 (عدد) – Mertens function zero
  • 2502 (عدد) – Mertens function zero
  • 2510 (عدد) – member of the Mian–Chowla sequence
  • 2513 (عدد) – member of the Padovan sequence
  • 2517 (عدد) – Mertens function zero
  • 2519 (عدد) – the smallest number congruent to 1 (mod 2), 2 (mod 3), 3 (mod 4), ..., 9 (mod 10)
  • 2520superior highly composite number; smallest number divisible by numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 12 ; colossally abundant number; Harshad number in several bases. It is also the highest number with more divisors than any number less than double itself.سانچہ:OEIS Not only is it the 7th (and last) number with more divisors than any number double itself but it also the 7th number that is highly composite and the lowest common multiple of a consecutive set of integers from 1 سانچہ:OEIS which is a property the previous number with this pattern of divisors does not have (360). That is, although 360 and 2520 both have more divisors than any number twice themselves, 2520 is the lowest number divisible by both 1 to 9 and 1 to 10, whereas 360 is not the lowest number divisible by 1 to 6 (which 60 is) and is not divisible by 1 to 7 (which 420 is). It is also the 6th and largest highly composite number that is a divisor of every higher highly composite number.سانچہ:OEIS
  • 2521 (عدد) – centered square number
  • 2522 (عدد) – Mertens function zero
  • 2523 (عدد) – Mertens function zero
  • 2524 (عدد) – Mertens function zero
  • 2525 (عدد) – Mertens function zero
  • 2530 (عدد) – Mertens function zero, Leyland number
  • 2533 (عدد) – Mertens function zero
  • 2537 (عدد) – Mertens function zero
  • 2538 (عدد) – Mertens function zero
  • 2543 (عدد)Sophie Germain prime
  • 2549 (عدد)Sophie Germain prime
  • 2550 (عدد) – pronic number
  • 2552 (عدد) – sum of the totient function for the first 91 integers
  • 2556 (عدد) – triangular number
  • 2567 (عدد) – Mertens function zero
  • 2568 (عدد) – Mertens function zero. Also number of digits in the معید اعشاریہ expansion of 1000!, or the product of all قدرتی عددs from 1 to 1000.
  • 2570 (عدد) – Mertens function zero
  • 2579 (عدد)safe prime
  • 2580 (عدد)Keith number
  • 2584 (عدد)Fibonacci number, sum of the first 37 primes
  • 2596 (عدد) – sum of the totient function for the first 92 integers
  • 2600 (عدد) – tetrahedral number, member of a Ruth–Aaron pair with 2601 (first definition)
  • * 2600 Hz is the tone used by a blue box to defeat toll charges on long distance telephone calls.
  • * 2600: The Hacker Quarterly is a magazine named after the above.
  • * The Atari 2600 was a popular video game console.
  • 2601 (عدد) – 512, member of a Ruth–Aaron pair with 2600 (first definition)
  • 2620 (عدد)محبانہ عدد with 2924
  • 2626 (عدد) – decagonal number
  • 2628 (عدد) – triangular number
  • 2632 (عدد) – number of consecutive baseball games played by Cal Ripken, Jr.
  • 2641 (عدد) – centered pentagonal number
  • 2647 (عدد) – centered heptagonal number
  • 2652 (عدد) – pronic number
  • 2656 (عدد) – sum of the totient function for the first 93 integers
  • 2665 (عدد) – centered square number
  • 2674 (عدد) – nonagonal number
  • 2677 (عدد) – balanced prime
  • 2680 (عدد) – number of 11-queens problem solutions
  • 2689 (عدد) – Mertens function zero, Proth prime
  • 2693 (عدد)Sophie Germain prime
  • 2699 (عدد)Sophie Germain prime
  • 2701 (عدد) – triangular number, super-Poulet number
  • 2702 (عدد) – sum of the totient function for the first 94 integers
  • 2704 (عدد) – 522
  • سانچہ:Vanchor – largest known odd number which cannot be expressed in the form x2 + y2 + 10z2 where x, y and z are integers.[1] In 1997 it was conjectured that this is also the largest such odd number.[2] It is now known this is true if the generalized Riemann hypothesis is true.[3]
  • 2728 (عدد)Kaprekar number
  • 2729 (عدد) – highly cototient number
  • 2731 (عدد)Wagstaff prime
  • 2736 (عدد) – octahedral number
  • 2741 (عدد)Sophie Germain prime
  • 2744 (عدد) – 143, palindromic in base 13 (133113)
  • 2747 (عدد) – sum of the first 38 primes
  • 2753 (عدد)Sophie Germain prime, Proth prime
  • 2756 (عدد) – pronic number
  • 2774 (عدد) – sum of the totient function for the first 95 integers
  • 2775 (عدد) – triangular number
  • 2780 (عدد) – member of the Mian–Chowla sequence
  • 2783 (عدد) – member of a Ruth–Aaron pair with 2784 (first definition)
  • 2784 (عدد) – member of a Ruth–Aaron pair with 2783 (first definition)
  • 2791 (عدد) – cuban prime
  • 2801 (عدد) - first base 7 repunit prime
  • 2806 (عدد) – centered pentagonal number, sum of the totient function for the first 96 integers
  • 2809 (عدد) – 532, centered octagonal number
  • 2813 (عدد) – centered square number
  • 2819 (عدد)Sophie Germain prime, safe prime
  • 2821 (عدد) – Carmichael number
  • 2835 (عدد) – odd abundant number, decagonal number
  • 2843 (عدد) – centered heptagonal prime
  • 2850 (عدد) – triangular number
  • 2862 (عدد) – pronic number
  • 2870 (عدد) – square pyramidal number
  • 2871 (عدد) – nonagonal number
  • 2872 (عدد)tetranacci number
  • 2879 (عدد)safe prime
  • 2897 (عدد)Markov number
  • 2902 (عدد) – sum of the totient function for the first 97 integers
  • 2903 (عدد)Sophie Germain prime, safe prime, balanced prime
  • 2914 (عدد) – sum of the first 39 primes
  • 2915 (عدد) – Lucas–Carmichael number
  • 2916 (عدد) – 542
  • 2924 (عدد) – amicable number with 2620
  • 2925 (عدد)magic constant of n×n normal جادوئی خانے and n-queens problem for n = 18, tetrahedral number, member of the Mian-Chowla sequence
  • 2926 (عدد) – triangular number
  • 2939 (عدد)Sophie Germain prime
  • 2944 (عدد) – sum of the totient function for the first 98 integers
  • 2963 (عدد)Sophie Germain prime, safe prime, balanced prime
  • 2965 (عدد) – greater of second pair of Smith brothers, centered square number
  • 2969 (عدد)Sophie Germain prime
  • 2970 (عدد)harmonic divisor number, pronic number
  • 2976 (عدد) – centered pentagonal number
  • 2997 (عدد) – chiliagonal number
  • 2999 (عدد)safe prime

حوالہ جات

[ترمیم]
  1. "Odd numbers that are not of the form x^2+y^2+10*z^2."۔ The Online Encyclopedia of Integer Sequences۔ The OEIS Foundation, Inc.۔ اخذ شدہ بتاریخ 13 نومبر 2012 
  2. Ken Ono (1997)۔ "Ramanujan, taxicabs, birthdates, zipcodes and twists" (PDF)۔ American Mathematical Monthly۔ 104 (10): 912–917۔ doi:10.2307/2974471۔ 15 اکتوبر 2015 میں اصل (PDF) سے آرکائیو شدہ۔ اخذ شدہ بتاریخ 11 نومبر 2012  "آرکائیو کاپی" (PDF)۔ 15 اکتوبر 2015 میں اصل (PDF) سے آرکائیو شدہ۔ اخذ شدہ بتاریخ 15 دسمبر 2015  "آرکائیو کاپی" (PDF)۔ 15 اکتوبر 2015 میں اصل (PDF) سے آرکائیو شدہ۔ اخذ شدہ بتاریخ 15 دسمبر 2015 
  3. Ken Ono، K Soundararajan (1997)۔ "Ramanujan's ternary quadratic forms" (PDF)۔ Inventiones Mathematicae۔ 130 (3): 415–454۔ doi:10.1007/s002220050191۔ 18 جولا‎ئی 2019 میں اصل (PDF) سے آرکائیو شدہ۔ اخذ شدہ بتاریخ 12 نومبر 2012  "آرکائیو کاپی" (PDF)۔ 18 جولا‎ئی 2019 میں اصل (PDF) سے آرکائیو شدہ۔ اخذ شدہ بتاریخ 15 دسمبر 2015  "آرکائیو کاپی" (PDF)۔ 18 جولا‎ئی 2019 میں اصل (PDF) سے آرکائیو شدہ۔ اخذ شدہ بتاریخ 15 دسمبر 2015