Current Search: moving image (x) » Paul A.M. Dirac Papers, 17881999 (x) » Number Theory (x)


Title

"mn + 1 = p is a prime…".

Abstract/Description

Apparent scratch work for number theoretical analysis; Possibly continuation of previous problem; Possibly multiple different problems worked on, including m, n, p problem, r, s, p problem, a, b, k problem, etc.

Identifier

FSUDirac_12_1c_0033

Format

Image (JPEG2000)


Title

"n is an odd prime, a, b, c are integers…".

Abstract/Description

Number theoretical analysis with apparent problem statement pertaining to n, a, b, and c; extensive algebra and calculation done with variables x, y, z.

Identifier

FSUDirac_12_1c_0032

Format

Image (JPEG2000)


Title

"s is a power of n".

Abstract/Description

Number theoretical analysis of primes, with apparent aim of solving a problem (number 1 in top right corner could be question number; problem is possibly to prove that s is a power of n, as is concluded in bottom right).

Identifier

FSUDirac_12_1c_0027

Format

Image (JPEG2000)


Title

Analysis of factors using modular arithmetic.

Abstract/Description

Number theory analysis of factors using modular arithmetic; Possibly an assigned problem.

Identifier

FSUDirac_12_1c_0022

Format

Image (JPEG2000)


Title

Analysis of primes and factors using modular arithmetic.

Abstract/Description

Further number theoretical analysis of primes and factors of expressions using modular arithmetic.

Identifier

FSUDirac_12_1c_0024

Format

Image (JPEG2000)


Title

Determining HCFs.

Abstract/Description

Number theoretical analysis; Possibly a continuation of a set of related problems, with potential goal of finding H.C.F.s (number 4 in top right corresponds to numbers in top right of FSUDirac_12_1c_0027, FSUDirac_12_1c_0028 and FSUDirac_12_1c_0034).

Identifier

FSUDirac_12_1c_0029

Format

Image (JPEG2000)


Title

Factors, primes, and remainders (modular arithmetic).

Abstract/Description

Further number theoretical analysis involving factors, primes and remainders using modular arithmetic.

Identifier

FSUDirac_12_1c_0023

Format

Image (JPEG2000)


Title

Investigating powers, factors, and primes.

Abstract/Description

Number theoretical analysis of factors; Possibly from a succession of problems (number 3 in top right matches numbers in top right of FSUDirac_12_1c_0027 and FSUDirac_12_1c_0028).

Identifier

FSUDirac_12_1c_0034

Format

Image (JPEG2000)


Title

Modular arithmetic.

Abstract/Description

Stating equivalences in modular arithmetic modulo k; Stating values of function f at various point a0 through a4.

Identifier

FSUDirac_12_1c_0020

Format

Image (JPEG2000)


Title

Numbers in terms of exponents n and analysis of expressions modulo λ.

Abstract/Description

Number theoretical analysis; Working with sequence of numbers in terms of exponents n and analyzing expressions modulo λ.

Identifier

FSUDirac_12_1c_0030

Format

Image (JPEG2000)


Title

Observations of primes and factors.

Abstract/Description

Number theoretical analysis; Not trying to solve any particular problem, but making observations about primes and factors of certain expressions.

Identifier

FSUDirac_12_1c_0026

Format

Image (JPEG2000)


Title

Organized analysis of factors.

Abstract/Description

Number theoretical analysis of factors; Possibly a next problem in a set (there is a 2 in the top right corner, much like the 1 in the top right corner of FSUDirac_12_1c_0027).

Identifier

FSUDirac_12_1c_0028

Format

Image (JPEG2000)


Title

Primes and factors, with matrices as a representation.

Abstract/Description

Number theoretical analysis of primes and factors; Developing matrices of equations to represent number theory problem.

Identifier

FSUDirac_12_1c_0025

Format

Image (JPEG2000)


Title

Sequences of integers with integer exponents.

Abstract/Description

Apparent scratch work, possibly for number theory analysis; writing out sequences of integers with integral exponents; writing out arbitrarily large summations of terms explicitly expressed in terms of a.

Identifier

FSUDirac_12_1c_0031

Format

Image (JPEG2000)