**Selected Numbers in The Range 3001–3999**

**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 2, sum of the cubes of the first ten integers, centered octagonal 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**– 55**3136**– 562, 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 1010000 – hence its factorial is the largest certain advanced computer programs can handle.**3249**– 57 2, 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**– 582**3375**– 15th 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 (33 + 44 + 33 + 55 = 3435)**3439**– magic constant of*n*×*n*normal magic square and*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**– 592, centered octagonal number**3486**– triangular number**3491**– 91st Sophie Germain prime**3504**– nonagonal number**3510**– decagonal 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**– 602, number of seconds in an hour, 1201-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**– 612, 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**– 622**3851**– 99th Sophie Germain prime**3863**– 100th Sophie Germain prime**3865**– greater of third pair of Smith brothers**3888**– longest number when expressed in Roman numerals 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**– 632, centered octagonal number**3989**– highly cototient number**3998**– member of the Mian–Chowla sequence**3999**– largest number properly expressible using Roman numerals I, V, X, L, C, D, and M (MMMCMXCIX)

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### Famous quotes containing the words range, numbers and/or selected:

“Culture is the suggestion, from certain best thoughts, that a man has a *range* of affinities through which he can modulate the violence of any master-tones that have a droning preponderance in his scale, and succor him against himself. Culture redresses this imbalance, puts him among equals and superiors, revives the delicious sense of sympathy, and warns him of the dangers of solitude and repulsion.”

—Ralph Waldo Emerson (1803–1882)

“He bundles every forkful in its place,

And tags and *numbers* it for future reference,

So he can find and easily dislodge it

In the unloading. Silas does that well.

He takes it out in bunches like birds’ nests.”

—Robert Frost (1874–1963)

“She was so overcome by the splendor of his achievement that she took him into the closet and *selected* a choice apple and delivered it to him, along with an improving lecture upon the added value and flavor a treat took to itself when it came without sin through virtuous effort. And while she closed with a Scriptural flourish, he “hooked” a doughnut.”

—Mark Twain [Samuel Langhorne Clemens] (1835–1910)