"3000 (عدد)" کے نسخوں کے درمیان فرق

حذف شدہ مندرجات اضافہ شدہ مندرجات
کوئی خلاصۂ ترمیم نہیں
کوئی خلاصۂ ترمیم نہیں
سطر 12:
 
==عمومی خصوصیات==
 
== 3001 تا 3999 کے خاص عدد ==
*'''3003''' – [[triangular number]], only number known to appear eight times in [[Pascal's triangle]]; 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>&nbsp;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''' –[[ decagonal number]]
*'''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>&nbsp;+&nbsp;4<sup>4</sup>&nbsp;+&nbsp;3<sup>3</sup>&nbsp;+&nbsp;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 (number)|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 [[Roman numeral]]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 [[Roman numeral]]s I, V, X, L, C, D, and M (MMMCMXCIX)
 
 
{{صحیح اعداد}}
==حوالہ جات==