Permalink: https://diginole.lib.fsu.edu/islandora/object/fsu:diracshoeboxnumbertheory
"mn + 1 = p is a prime…"
"mn + 1 = p is a prime…"
Summary: 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.
"n is an odd prime, a, b, c are integers…"
"n is an odd prime, a, b, c are integers…"
Summary: Number theoretical analysis with apparent problem statement pertaining to n, a, b, and c; extensive algebra and calculation done with variables x, y, z.
"s is a power of n"
"s is a power of n"
Summary: 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).
Analysis of factors using modular arithmetic
Analysis of factors using modular arithmetic
Summary: Number theory analysis of factors using modular arithmetic; Possibly an assigned problem.
Analysis of primes and factors using modular arithmetic
Analysis of primes and factors using modular arithmetic
Summary: Further number theoretical analysis of primes and factors of expressions using modular arithmetic.
Determining HCFs
Determining HCFs
Summary: 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).
Factors, primes, and remainders (modular arithmetic)
Factors, primes, and remainders (modular arithmetic)
Summary: Further number theoretical analysis involving factors, primes and remainders using modular arithmetic.
Investigating powers, factors, and primes
Investigating powers, factors, and primes
Summary: 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).
Modular arithmetic
Modular arithmetic
Summary: Stating equivalences in modular arithmetic modulo k; Stating values of function f at various point a0 through a4.
Numbers in terms of exponents n and analysis of expressions modulo λ
Numbers in terms of exponents n and analysis of expressions modulo λ
Summary: Number theoretical analysis; Working with sequence of numbers in terms of exponents n and analyzing expressions modulo λ.
Observations of primes and factors
Observations of primes and factors
Summary: Number theoretical analysis; Not trying to solve any particular problem, but making observations about primes and factors of certain expressions.
Organized analysis of factors
Organized analysis of factors
Summary: 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).
Primes and factors, with matrices as a representation
Primes and factors, with matrices as a representation
Summary: Number theoretical analysis of primes and factors; Developing matrices of equations to represent number theory problem.
Sequences of integers with integer exponents
Sequences of integers with integer exponents
Summary: 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.