Papers by Shubhankar Paul
Engineering Research Publication, Nov 30, 2017
— In this paper I discuss 8 methods with different mechanical models to generate electricity from... more — In this paper I discuss 8 methods with different mechanical models to generate electricity from gravitation, buoyancy force, spring force with less input power i.e. efficient and pollution free.
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Engineering Reearch Publication, Dec 31, 2013
In this paper we will discuss what are the measure to hire an employee in corporation with why. T... more In this paper we will discuss what are the measure to hire an employee in corporation with why. Then we will prioritize the measures. Then we will define the measures for numerical value. Then we will calculate a Candidate’s efficiency for hiring. The candidates with more efficiency will get hired. We will also discuss the role of corporation for employee satisfaction in Italic inside square bracket [ ].
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Engineering Research Publication, Dec 31, 2013
In this paper we will discuss how to evaluate an employee for testing project taking all the work... more In this paper we will discuss how to evaluate an employee for testing project taking all the works that an employee do in a testing project as elements of calculating efficiency, then prioritize them and giving weight-age to elements and at last calculate employee efficiency. The more the efficiency the employee is better. Employee efficiency is always less than 1.
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Engineering Research Publication, Dec 31, 2013
If water is put on different level then from upper level to lower level it flows automatically fo... more If water is put on different level then from upper level to lower level it flows automatically for it’s same height principle. If we submerge a bucket in a water tank and pull it up holding it’s open faces vertically down then water enters into the bucket and the level goes up as far as the bucket pulled up because air give pressure on open water and water enters into the bucket to fill up the void area. Because the void area has no pressure. Now if we can attach a pipe from the upper part of the bucket and keep it’s open end down than the bucket’s pulled up height from the water then water will automatically come out from the bucket. Now if we fix a generator output terminal shaft with a fan fixed on it in the water flow then the shaft will rotate and eventually the generator will output electricity. This is how electricity is generated without fuel or any raw material or not from flowing water rather from stagnant water. Another method (Method 2) is on the same principle of water (Same height principle) is discussed later.
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Engineering Research Publication, Dec 31, 2013
“Update” is a command in database language like SQL etc. to update a/some column value of a parti... more “Update” is a command in database language like SQL etc. to update a/some column value of a particular row of a given table leaving all the other column unchanged in that particular row of that given table. We will discuss in this paper how to remove “Update” command from the database language like SQL and also “History” table from the database by adding another column removing also a column “LAST_UPDATED” from a given table. We will also discuss the process from GUI level.
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Engineering Research Publication, Dec 31, 2013
In this paper we will prove five conjectures, one problem viz.
1) Legendre Conjecture.
2)... more In this paper we will prove five conjectures, one problem viz.
1) Legendre Conjecture.
2) Grimm’s Conjecture.
3) Balanced Primes are infinite.
4) Prime triplets are infinite.
5) Polignac's conjecture.
6) Can a prime p satisfy 2p − 1 ≡ 1 (mod p2) and 3p − 1 ≡ 1 (mod p2) simultaneously?
And 17 tips with proof to solve problems on number theory.
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Engineering Research Publication, Nov 30, 2013
In this paper we will show how natural number series can be formed by prime numbers when 1,2 is g... more In this paper we will show how natural number series can be formed by prime numbers when 1,2 is given and operator multiplication is given. We will then prove Legendre and Grimm’s Conjecture.
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Engineering Research Publication, Nov 30, 2013
In this paper we will prove two problems :
Beal Conjecture
Fermat’s Last Theorem
First we wi... more In this paper we will prove two problems :
Beal Conjecture
Fermat’s Last Theorem
First we will show Beal Conjecture is true.
Then we will show Fermat’s Last Theorem is true.
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Engineering Research Publication, Nov 30, 2013
In this paper we will show solution of ten problems in number theory.
Problem 1 : Balanced Pri... more In this paper we will show solution of ten problems in number theory.
Problem 1 : Balanced Primes are infinite.
Problem 2 : Euclid primes are infinite.
Problem 3 : Quasiperfect number doesn’t exist.
Problem 4 : Prime triplets are infinite.
Problem 5 : Odd Superperfect number doesn’t exist.
Problem 6 : Proof of Polignac's conjecture.
Problem 7 : There are infinitely many prime of the form n²+1.
Problem 8 : Lonely Runner Conjecture proof when velocities are in Arithmetic Progression.
Problem 9 : We will find the value of imaginary part of non-trivial zeros of Riemann Zeta function.
Problem 10 : We will prove Lander, Parkin and Selfridge conjecture.
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Engineering Research Publication, Nov 30, 2013
In this paper we will prove two problems :
Rational Distance problem
4-D Euler Brick.
ABC Con... more In this paper we will prove two problems :
Rational Distance problem
4-D Euler Brick.
ABC Conjeture
Goldbach Conjecture
First we will show no such point exist whose distances from every corner of a integer sided square are integers.
Then we will prove non-existence of 4-D Euler Brick.
Then we will prove ABC Conjecture is true.
Then we will prove Goldbach Conjecture is true.
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Engineering Research Publication, Nov 30, 2013
A perfect number is a positive integer that is equal to the sum of its positive divisors, and can... more A perfect number is a positive integer that is equal to the sum of its positive divisors, and can be represented by the equation s(n) = 2n. Even perfect numbers have been discovered, and there is a search that continues for odd perfect number(s). A list of conditions for odd perfect numbers to exist has been compiled, and there has never been a proof against their existence.
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Engineering Research Publication, Nov 30, 2013
The Collatz conjecture is an elusive problem in mathematics regarding the oneness of natural numb... more The Collatz conjecture is an elusive problem in mathematics regarding the oneness of natural numbers when run through a specific function based on being odd or even, specifically stating that regardless of the initial number the series will eventually reach the number 1.We will prove everything for odd integer. Because even integer upon division by 2 ( i.e. Collatz operation) we will eventually find a odd number, We can say for that number we are starting from there (without violating Collatz operation rule ).
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Engineering Research Publication, Nov 30, 2013
In mathematics, an Euler brick, named after Leonhard Euler, is a cuboid whose edges and face diag... more In mathematics, an Euler brick, named after Leonhard Euler, is a cuboid whose edges and face diagonals all have integer lengths. A primitive Euler brick is an Euler brick whose edge lengths are relatively prime.
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Engineering Research Puclication, Oct 31, 2013
A number is called prime when the number is divisible by 1 and that number itself, no other facto... more A number is called prime when the number is divisible by 1 and that number itself, no other factor. If two consecutive odd numbers are prime then they are called twin prime.
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Engineering Research Publication, Oct 31, 2013
A n×n array of integers is called a magic square when all the rows, all the columns, across diago... more A n×n array of integers is called a magic square when all the rows, all the columns, across diagonals numbers add up to same sum. Here we will consider a 3×3 array. Magic square of squares is a 3×3 array whose all rows, all columns, across diagonals numbers are square number and also add up to same sum.
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Engineering Research Publication, Sep 30, 2013
Electricity generation without any fuel or raw material. A magnetic material or a magnet is place... more Electricity generation without any fuel or raw material. A magnetic material or a magnet is placed in the ceiling of a room and floor is nothing but earth. Now if a magnet is placed in the air it will wither go to the ceiling or it will fall to earth whichever is greater force : magnetic pull or gravitation of earth accordingly. Now if we set the distance between magnetic material of the ceiling and magnet in such a manner that the magnetic force between ceiling and gravitation cancels out. Then the magnet will float in the air. This is how we can make a room gravitation free. Now a magnet is attached to ground and it is named magnet 1. Magnet 2 is free to roam around a horizontal plane as there is no gravity. If the distance between the two magnets is r and mass of the magnet 2 is m then if we give a velocity of v so that magnetic force between the two magnets is mv^2/r then the magnet 2 will rotate around magnet 1 in circular motion. Now if we put conducting current carrying wires around the circular path then the magnet 2 will induce electric current in the loop as per faraday’s law of induction. Hence electricity is generated.
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Engineering Research Publication, Sep 30, 2013
This paper will propose how to generate electricity while you are cycling. When we are cycling th... more This paper will propose how to generate electricity while you are cycling. When we are cycling the two wheels rotate. If we convert the rotating motion of wheels into translation motion and we attach a bar magnet. Then the bar magnet will regulate translation motion continuously till the wheels are running. Now, if we attach a conducting current carrying loop near the bar magnet then it will induce an emf into the conducting loop hence current flow. Now we can charge an inverter with this current and emf. And we can easily use this inverter output to glow bulb on a cycle.
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Books by Shubhankar Paul
Problem solving technique in Number Theory, Permutations & Combinations, Polynomial.
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Papers by Shubhankar Paul
1) Legendre Conjecture.
2) Grimm’s Conjecture.
3) Balanced Primes are infinite.
4) Prime triplets are infinite.
5) Polignac's conjecture.
6) Can a prime p satisfy 2p − 1 ≡ 1 (mod p2) and 3p − 1 ≡ 1 (mod p2) simultaneously?
And 17 tips with proof to solve problems on number theory.
Beal Conjecture
Fermat’s Last Theorem
First we will show Beal Conjecture is true.
Then we will show Fermat’s Last Theorem is true.
Problem 1 : Balanced Primes are infinite.
Problem 2 : Euclid primes are infinite.
Problem 3 : Quasiperfect number doesn’t exist.
Problem 4 : Prime triplets are infinite.
Problem 5 : Odd Superperfect number doesn’t exist.
Problem 6 : Proof of Polignac's conjecture.
Problem 7 : There are infinitely many prime of the form n²+1.
Problem 8 : Lonely Runner Conjecture proof when velocities are in Arithmetic Progression.
Problem 9 : We will find the value of imaginary part of non-trivial zeros of Riemann Zeta function.
Problem 10 : We will prove Lander, Parkin and Selfridge conjecture.
Rational Distance problem
4-D Euler Brick.
ABC Conjeture
Goldbach Conjecture
First we will show no such point exist whose distances from every corner of a integer sided square are integers.
Then we will prove non-existence of 4-D Euler Brick.
Then we will prove ABC Conjecture is true.
Then we will prove Goldbach Conjecture is true.
Books by Shubhankar Paul
1) Legendre Conjecture.
2) Grimm’s Conjecture.
3) Balanced Primes are infinite.
4) Prime triplets are infinite.
5) Polignac's conjecture.
6) Can a prime p satisfy 2p − 1 ≡ 1 (mod p2) and 3p − 1 ≡ 1 (mod p2) simultaneously?
And 17 tips with proof to solve problems on number theory.
Beal Conjecture
Fermat’s Last Theorem
First we will show Beal Conjecture is true.
Then we will show Fermat’s Last Theorem is true.
Problem 1 : Balanced Primes are infinite.
Problem 2 : Euclid primes are infinite.
Problem 3 : Quasiperfect number doesn’t exist.
Problem 4 : Prime triplets are infinite.
Problem 5 : Odd Superperfect number doesn’t exist.
Problem 6 : Proof of Polignac's conjecture.
Problem 7 : There are infinitely many prime of the form n²+1.
Problem 8 : Lonely Runner Conjecture proof when velocities are in Arithmetic Progression.
Problem 9 : We will find the value of imaginary part of non-trivial zeros of Riemann Zeta function.
Problem 10 : We will prove Lander, Parkin and Selfridge conjecture.
Rational Distance problem
4-D Euler Brick.
ABC Conjeture
Goldbach Conjecture
First we will show no such point exist whose distances from every corner of a integer sided square are integers.
Then we will prove non-existence of 4-D Euler Brick.
Then we will prove ABC Conjecture is true.
Then we will prove Goldbach Conjecture is true.