Portrait of a Number {Longhearted}

Conversation/portrait of summer-school professor/pupil offering some odd/prime game-challenge 'revelation' for education's dimples-and-arms.

An homage to what makes mathematics to 'incompletely' quiet, inspired (very-loosely) by the cerebral glassy film/story A Beautiful Mind (Russell Crowe). 

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PROFESSOR: So, a prime, usually odd, has no dividing factorial.

AMLAN: So, it's like an odd-number usually (3, 5, 7, 11, 23) with no divisions?

PROFESSOR: Correct, and your challenge-game is to find some cute pattern!

AMLAN: A number without dividers, usually odd, and hence somewhat 'out' there?

PROFESSOR: Yes, not like nice even numbers to work (e.g., 4 x 12 = 48).

AMLAN: Aha, 4 x 12 = 48 is a nice/even 'compounding' square-like escalation!

PROFESSOR: Yes, pupil; but these primes, usually odds, are rather isolated.

AMLAN: You want a pattern for prime numbers from me as a challenge-game?

PROFESSOR: To reflect the Selfie-culture of 'odd-perception' commentary.

AMLAN: Perchance reflective of risk, uncertainty, or capitalism itself, doc?

PROFESSOR: Good, you said it.

PROFESSOR: What did you find/make, pupil?
AMLAN: Well, doc, I didn't find anything pronouncedly workable.

PROFESSOR: Why?

AMLAN: These prime/odds are simply isolated or 'out' there (e.g. 37, 41, etc.).

PROFESSOR: Did you do anything?
AMLAN: I did...I decided to group 2 special near-primes in the 20s (23, 29).

PROFESSOR: Proceed!
AMLAN: Well, 23/29 are both in the 3rd set of the 1st of the base-10 groups.

PROFESSOR: Proceed!
AMLAN: They're both odd primes and separated only by a value of 6.

PROFESSOR: Proceed (Selfie-like!).

AMLAN: So, with 23/29 as near-primes with nothing special; but they're 20s.

PROFESSOR: So?
AMLAN: So, 2 primes in every set of the 10-scale escalations (20s, 30s, 40s), yes?

PROFESSOR: Yeah, so what?
AMLAN: So if there's like reliably 2 primes every 10-scale for these odd-ducks?

PROFESSOR: I see what you're hinting...force a pattern by frequency?

AMLAN: You said it there, doc; perhaps primes have some 'shrinkage' face.

PROFESSOR: Very weird, pupil (ok).

AMLAN: So, with my 'shrinkage' theory of odd-duck primes, I made a symmetry!

PROFESSOR: Go on, pupil (with interest)...beautifully.

AMLAN: I thought 11, a prime, is a mirror image of an 'imaginary' 11.

PROFESSOR: Alright, so you mean 11 and 11 like symmetry 'fantasy' (1+1=2)?

AMLAN: The product 2, and symmetry like double, and 11 is 1 and 1 (ha).

PROFESSOR: So, you're making odd-duck primes a 'beautiful' cleat.

AMLAN: Isn't math/numbers/theory simplified leviathan (for the Ego)?

PROFESSOR: Well, seems you've found Summer school rain (hot).

"Doing well is the result of doing good. That's what capitalism is all about" (Ralph Waldo Emerson). 

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"Money is everything" (Ecclesiastes)