#PythaShastri doubts

#PythaShastri root 2 series

#PythaShastri root 2 series.
Well the past few days has been turbulent. There were a few discoveries over the last few years. Rational expressions. Euler - Mascheroni expressions and pi and e.
I am interested in Fourier. And Ramanujan. And Euler.
But then in my expressions the root 2 expressions were missing.
I decided to express in my known methods. And it was happening. Here are they:

An era of expressions to my satisfaction is over now. Further studies are no longer to be in this approach. I plan to study methods and techniques of mathematical expressions. Not results. But methods. This is tough as it is to get an insight into the minds of mathematicians. But I shall try to.

#PythaShastri 4 screenshots

#PythaShastri 4 screenshots.
1, e, gamma and exponential integration.

#PythaShastri max rep series 2

#PythaShastri max rep series 2.
Experiment details are :

Two way correction to #PythaShastri series

#PythaShastri how much worse can it be

#PythaShastri max reps series

#PythaShastri max rep series.
The following are experiment details:

#PythaShastri and Euler line

#PythaShastri and Euler line.
Results are :

Khinchin constant

Happy Independence Day.

#PythaShastri Gamma Expression

#PythaShastri gamma expression. The Euler-Mascheroni constant.

I don't know whether the meaning or the expression is correct. Euler-Mascheroni constant is extremely subtle. However here is a screenshot of Euler-Mascheroni constant from Symbolab:

Dr. Vashist Narayanan Singh, Bhojpur

Dr. Vashist Narayan Singh is a very simple man. Living in rural India.
He is very highly qualified. Graduation from Patna, Bihar. And more.
Among possibly many points to ponder; he very rightly wants (a+b)^2 = abcd.
I saw him in Youtube.

#PythaShastri prime number sieve

1. Let current number be x.
2. Let x +1 be y.
Two variables needed.  x and y.
For any range prime number sieving do the following models:
1. Check divisibility of x by 2.
2. Check divisibility of x by 3.
3. Check divisibility of y by 4.
The above are the only methods needed.
Further steps are worked out.
By the way, I have registered copyright on two pi expressions.
( I don't like copyright or patents. But then . . . )

#PythaShastri √3 formula

√3 = 3 √(1/4 + 1/4² + 1/4³ + . . . . . . . . . . . . . )
Root √3 has been expressed. This finishes #PythaShastri endeavours.

Also I think
√3 = 3 √(1/2 - 1/2² + 1/2³ + . . . . . . . . . . . . . )

#PythaShastri points to think

Here are they:

And more . . .

#PythaShastri Visited Places

#PythaShastri is through

#PythaShastri is through.
Results are :

34 is 2 × 17. Root 2 is clear cut. 17 is with 34 and -2n in denominator. In between is unknown. Khinchin constant is of numbers and in number theories.

#PythaShastri a little relief

#PythaShastri 3^(1/2)-2^(1/2) expression failed miserably.
However, a few expressions on n^(1/2) are presented below.

Root 2 based on combination(2n,n) was already posted earlier.

#PythaShastri proposal for a new symbol

Puzzle

Rock Demaga is the chief financial officer of Yintitude Kutcher Inc.  of whatever country.

He comes in with a briefcase filled with bundles of notes.

He calls his team members and announced that his briefcase contains 33 bundles of cash notes. He asks how much cash is it?

Puzzle

Dharam Shah is the chief financial officer of Excon Virtues Limited.
He comes to the office one day with a briefcase filled with cash bundles. He calls for a meeting of all his team members and announced that his briefcase contains exactly 34 bundles of cash notes. What is the total money he is carrying he asks.

#PythaShastri well behaved body

#PythaShastri well behaved body.
Result is :