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Verification of the Sheldon Conjecture

The creators present the idea of barisan aritmatika, in view of a discussion between a few characters in the CBS TV circumstance satire The Big Bang Theory. The creators of [3] leave open the subject of whether 73 is the remarkable Sheldon prime. This article responds to this inquiry in the certifiable.

A Sheldon prime was first characterized in [3] as a praise to Sheldon Cooper, an anecdotal hypothetical physicist, see Figure 1, on the network show The Big Bang Theory, who guaranteed 73 is the best number since it has some apparently strange properties. First note that not exclusively is 73 a prime number, its list in the succession of primes is the result of its digits, to be specific 21: it is the 21st prime. Moreover, turning around the digits of 73, we acquire the prime 37, which is the twelfth prime, and 12 is the opposite of 21.

Fig. 1 Sheldon consistently realized 73 was the best.

We give a more proper definition. For a positive whole number n, let pn mean the nth prime number. We state pn has the item property if the result of its base-10 digits is accurately n. For any certain whole number x, we characterize rev(x) to be the number whose grouping of base-10 digits is the converse of the digits of x. For instance, rev(1234)=4321 and rev(310)=13. We state pn fulfills the mirror property if rev(pn)=prev(n).