650 - Shakespeare y los números primos

¿Sabía Shakespeare matemática?  
Parece que si.


En los 154 sonetos de William Shakespeare, el usa la palabra "prime" (primo) exactamente cuatro veces. Lo hace solamente en los sonetos números 3, 12, 70 y 97. 
Al concatenar estos cuatro números se obtiene 3127097 el cual es un número primo. ¿Coincidencia? 
Hay que tener en cuenta que la inversión de este primo es 7907213, que también es un número primo.

SONNET 3

Look in thy glass, and tell the face thou viewest
Now is the time that face should form another;
Whose fresh repair if now thou not renewest,
Thou dost beguile the world, unbless some mother,
For where is she so fair whose unear'd womb
Disdains the tillage of thy husbandry?
Or who is he so fond will be the tomb
Of his self-love, to stop posterity?
Thou art thy mother's glass, and she in thee
Calls back the lovely April of her prime:
So thou through windows of thine age shall see
Despite of wrinkles this thy golden time.
    But if thou live, remember'd not to be,
    Die single, and thine image dies with thee.

SONNET 12

When I do count the clock that tells the time,
And see the brave day sunk in hideous night;
When I behold the violet past prime,
And sable curls all silver'd o'er with white;
When lofty trees I see barren of leaves
Which erst from heat did canopy the herd,
And summer's green all girded up in sheaves
Borne on the bier with white and bristly beard,
Then of thy beauty do I question make,
That thou among the wastes of time must go,
Since sweets and beauties do themselves forsake
And die as fast as they see others grow;
   And nothing 'gainst Time's scythe can make defence
   Save breed, to brave him when he takes thee hence.

SONNET 70

That thou art blamed shall not be thy defect,
For slander's mark was ever yet the fair;
The ornament of beauty is suspect,
A crow that flies in heaven's sweetest air.
So thou be good, slander doth but approve
Thy worth the greater, being woo'd of time;
For canker vice the sweetest buds doth love,
And thou present'st a pure unstained prime.
Thou hast pass'd by the ambush of young days,
Either not assail'd or victor being charged;
Yet this thy praise cannot be so thy praise,
To tie up envy evermore enlarged:
   If some suspect of ill mask'd not thy show,
   Then thou alone kingdoms of hearts shouldst owe

SONNET 97

How like a winter hath my absence been
From thee, the pleasure of the fleeting year!
What freezings have I felt, what dark days seen!
What old December's bareness every where!
And yet this time removed was summer's time,
The teeming autumn, big with rich increase,
Bearing the wanton burden of the prime,
Like widow'd wombs after their lords' decease:
Yet this abundant issue seem'd to me
But hope of orphans and unfather'd fruit;
For summer and his pleasures wait on thee,
And, thou away, the very birds are mute;
   Or, if they sing, 'tis with so dull a cheer
   That leaves look pale, dreading the winter's near.


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650 - Shakespeare y los números primos