"3000 (عدد)" کے نسخوں کے درمیان فرق
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گروہ زمرہ بندی: حذف از زمرہ:بھارتی ایجادات |
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سطر 9:
'''3000 (عدد)''' یعنی 3,000 ایک [[عدد]] اور ایک علامت ہے۔ کچھ [[عددی نظام|عددی نظاموں]] میں [[2999 (عدد)|2,999]] سے بڑا یا زیادہ اور [[3001 (عدد)|3,001]] سے چھوٹا یا کم ہوتا ہے۔ [[گنتی]] میں اسے [[تین ہزار (گنتی)|تین ہزار]] بولا جاتا ہے۔ اور اس سے پہلے [[دو ہزار نو سو نینانوے (گنتی)|دو ہزار نو سو نینانوے]] اور اس کے بعد [[تین ہزار ایک (گنتی)|تین ہزار ایک]] بولا جاتا ہے۔
== انفرادی خصوصیات ==
== عمومی خصوصیات ==
== 3001 تا 3999 کے خاص عدد ==
* '''3003''' – [[triangular number]], only number known to appear eight times in [[خیام تکون]]; no number is known to appear more than eight times other than 1. (see [[Singmaster's conjecture]])
* '''3023''' – 84th [[Sophie Germain prime]], 51st [[safe prime]]
* '''3025''' – 55<sup> 2</sup>, sum of the cubes of the first ten integers, [[centered octagonal number]], [[Dodecagonal number]]
* '''3045''' – sum of the integers 196 to 210 ''and'' sum of the integers 211 to 224
* '''3046''' – [[centered heptagonal number]]
* '''3052''' –[[
* '''3059''' – [[centered cube number]]
* '''3063''' – [[perfect totient number]]
* '''3071''' – [[Thabit number]]
* '''3075''' – [[nonagonal number]]
* '''3078''' – 18th [[pentagonal pyramidal number]]
* '''3080''' – [[pronic number]]
* '''3081''' – [[triangular number]], 497th [[sphenic number]]
* '''3087''' – sum of first 40 primes
* '''3119''' – [[safe prime]]
* '''3121''' – [[centered square number]]
* '''3125''' – 5<sup>5</sup>
* '''3136''' – 56<sup>2</sup>, palindromic in base 3 (11022011<sub>3</sub>), [[tribonacci number]]
* '''3137''' – [[Proth prime]]
* '''3149''' – [[highly cototient number]]
* '''3155''' – member of the [[Mian–Chowla sequence]]
* '''3160''' – [[triangular number]]
* '''3167''' – safe prime
* '''3169''' – [[Cuban prime]] of the form ''x'' = ''y'' + 1
* '''3192''' – [[pronic number]]
* '''3203''' – safe prime
* '''3240''' – [[triangular number]]
* '''3248''' – member of a [[Ruth-Aaron pair]] with 3249 under second definition, largest number whose [[factorial]] is less than 10<sup>10000</sup> – hence its factorial is the largest certain advanced computer programs can handle.
* '''3249''' – 57<sup>2</sup>, palindromic in base 7 (12321<sub>7</sub>), centered octagonal number, member of a Ruth–Aaron pair with 3248 under second definition
* '''3256''' – centered heptagonal number
* '''3266''' – sum of first 41 primes, 523rd [[sphenic number]]
* '''3276''' – [[tetrahedral number]]
* '''3277''' – 5th [[super-Poulet number]], decagonal number
* '''3281''' – [[octahedral number]], centered square number
* '''3286''' – nonagonal number
* '''3299''' – 85th [[Sophie Germain prime]]
* '''3306''' – [[pronic number]]
* '''3307''' – [[balanced prime]]
* '''3313''' – balanced prime
* '''3321''' – [[triangular number]]
* '''3329''' – 86th [[Sophie Germain prime]], Proth prime, member of the [[Padovan sequence]]
* '''3354''' – member of the Mian–Chowla sequence
* '''3358''' – sum of the squares of the first eleven primes
* '''3359''' – 87th [[Sophie Germain prime]], highly cototient number
* '''3364''' – 58<sup>2</sup>
* '''3375''' – 15<sup>3</sup>, palindromic in base 14 (1331<sub>14</sub>), 15th [[Cube (arithmetic)|cube]]
* '''3389''' – 88th [[Sophie Germain prime]]
* '''3403''' – [[triangular number]]
* '''3413''' – 89th [[Sophie Germain prime]]
* '''3422''' – [[pronic number]], 553rd [[sphenic number]], [[melting point]] of [[tungsten]] in [[degrees Celsius]]
* '''3435''' – a [[perfect digit-to-digit invariant]], equal to the sum of its digits to their own powers (3<sup>3</sup> + 4<sup>4</sup> + 3<sup>3</sup> + 5<sup>5</sup> = 3435)
* '''3439''' – [[magic constant]] of ''n''×''n'' normal [[magic square]] and [[Eight queens puzzle|''n''-queens problem]] for ''n'' = 19.
* '''3445''' – [[centered square number]]
* '''3447''' – sum of first 42 primes
* '''3449''' – 90th [[Sophie Germain prime]]
* '''3457''' – Proth prime
* '''3467''' – safe prime
* '''3469''' – [[Cuban prime]] of the form ''x'' = ''y'' + 2
* '''3473''' – centered heptagonal number
* '''3481''' – 59<sup>2</sup>, centered octagonal number
* '''3486''' – [[triangular number]]
* '''3491''' – 91st [[Sophie Germain prime]]
* '''3504''' – nonagonal number
* '''3510''' – decagonal number
* '''[[3511 (عدد)|3511]]''' – largest known [[Wieferich prime]]
* '''3539''' – 92nd [[Sophie Germain prime]]
* '''3540''' – [[pronic number]]
* '''3569''' – highly cototient number
* '''3570''' – [[triangular number]]
* '''3571''' – 500th prime, [[Cuban prime]] of the form ''x'' = ''y'' + 1, 17th [[Lucas number]], 4th [[balanced prime]] of order 4.
* '''3591''' – member of the Mian–Chowla sequence
* '''3593''' – 93rd [[Sophie Germain prime]]
* '''3600''' – 60<sup>2</sup>, number of seconds in an hour, 1201-[[polygonal number|gonal number]]
* '''3610''' – 19th [[pentagonal pyramidal number]]
* '''3613''' – [[centered square number]]
* '''3623''' – 94th [[Sophie Germain prime]], safe prime
* '''3637''' – balanced prime
* '''3638''' – sum of first 43 primes, 599th [[sphenic number]]
* '''3654''' – [[tetrahedral number]]
* '''3655''' – [[triangular number]], 601st [[sphenic number]]
* '''3660''' – [[pronic number]]
* '''3684''' – 13th [[Keith number]]
* '''3697''' – centered heptagonal number
* '''3721''' – 61<sup>2</sup>, centered octagonal number
* '''3729''' – nonagonal number
* '''3733''' – balanced prime
* '''3741''' – [[triangular number]], 618th [[sphenic number]]
* '''3751''' – decagonal number
* '''3761''' – 95th [[Sophie Germain prime]]
* '''3779''' – 96th [[Sophie Germain prime]], safe prime
* '''3782''' – [[pronic number]], 623rd [[sphenic number]]
* '''3785''' – [[centered square number]]
* '''3797''' – member of the Mian–Chowla sequence
* '''3803''' – 97th [[Sophie Germain prime]], safe prime
* '''3821''' – 98th [[Sophie Germain prime]]
* '''3828''' – [[triangular number]]
* '''3831''' – sum of first 44 primes
* '''3844''' – 62<sup>2</sup>
* '''3851''' – 99th [[Sophie Germain prime]]
* '''3863''' – 100th [[Sophie Germain prime]]
* '''3865''' – greater of third pair of [[Smith number|Smith brothers]]
* '''3888''' – longest number when expressed in [[رومن اعداد]]s I, V, X, L, C, D, and M (MMMDCCCLXXXVIII)
* '''3889''' – [[Cuban prime]] of the form ''x'' = ''y'' + 2
* '''3894''' – [[octahedral number]]
* '''3906''' – [[pronic number]]
* '''3911''' – 101st [[Sophie Germain prime]]
* '''3916''' – [[triangular number]]
* '''3925''' – centered cube number
* '''3926''' – 12th [[open meandric number]], 654th [[sphenic number]]
* '''3928''' – centered heptagonal number
* '''3947''' – safe prime
* '''3961''' – nonagonal number, centered square number
* '''3967''' – [[Carol number]]
* '''3969''' – 63<sup>2</sup>, centered octagonal number
* '''3989''' – highly cototient number
* '''3998''' – member of the Mian–Chowla sequence
* '''3999''' – largest number properly expressible using [[رومن اعداد]]s I, V, X, L, C, D, and M (MMMCMXCIX)
{{صحیح اعداد}}
== حوالہ جات ==
{{حوالہ جات}}
[[زمرہ:ابتدائی حساب]]
[[زمرہ:اعداد]]▼
[[زمرہ:صحیح اعداد]]
▲[[زمرہ:اعداد]]
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