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If x and y are Eisenstein integers, we say that x divides y if there is some Eisenstein integer z such that y = zx. A non-unit Eisenstein integer x is said to be an Eisenstein primeアイゼンシュタイン-素数?!? if its only non-unit divisors are of the form ux, where u is any of the six units.

There are two types of Eisenstein primes. First, an ordinary prime number (or rational prime) which is congruent to 2 mod 3 is also an Eisenstein prime.（こちらは・二乗根の「素数 」??? ）

Second, 3 and any rational prime congruent to 1 mod 3 is equal to the norm x^2 − xy + y^2 of an Eisentein integer x + ωy. Thus, such a prime may be factored as (x + ωy)(x + ω^2・y), and these factors are Eisenstein primes: they are precisely the Eisenstein integers whose norm is a rational prime.
(こちらが？・『三乗根 』の「素数 」?? ??? )

<figure--Small(スモール?!のいみは・格子-目?!?, ひとつ？・を・さす ？？？, ) Eisenstein primes. >
The quotient of the complex plane C by the lattice containing all Eisenstein integers is a complex torusひとつ？の・格子-目?!?,が"torus<~ (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. Real-world examples of toroidalドーナツ形状をした？・ objects include inner tubes. </wiki/Torus(ドーナツのひょうめん・の・？ようにみえる？？・ ) > > ''状？？にみえる？・？・？ of real dimension 2. This is one of two tori with maximal symmetry among all such complex tori. This torus can be obtained by identifying each of the three pairs of opposite edges of a regular hexagon. (The other maximally symmetric torus is the quotient of the complex plane by the additive lattice of Gaussian integers, and can be obtained by identifying each of the two pairs of opposite sides of a square fundamental domain, such as [0,1] × [0,1]. )  <Quotient of C by the Eisenstein integers---/wiki/Eisenstein_integer >

   <figure >
As the distance to the axis of revolution decreases, the 'ring torus " becomes a horn torus, then a spindle torusいちじき？・角状[型?]? → 紡錘体のようにみえ・??, and finally degenerates into a sphere球??.
by Wikipedia
(「式が因数分解できない 」ことを証明するときに使う定理. かんもん、きもん？？の定理？{ふつう?!, 三乗根なんてつかわない?? Ferdinand Gotthold Max Eisenstein,フェルディナント・ゴットホルト・マックス・アイゼンシュタイン（1823年4月16日 - 1852年10月11日）は、ほんとうは・なにも・しなかった(にわとりをかってた?,, ふつう？！'computerｓ 'がなければ・三乗根なんて・もんだいは・できない？？)?? ?, }？？, )


(さんこう, )
https://mathtrain.jp/eisenstein
アイゼンシュタインの定理     - 高校数学の美しい物語 --
http://www.geocities.jp/ikuro_kotaro/koramu/2571_bx.htm
■ガウス整数とアイゼンシュタイン整数