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**Content Feed**

Solved

Count the primes in Collatz sequences

Several Cody problems (21, 69, 42937, 44448, 44784, 52422) involve Collatz sequences. These start with a seed . If is odd, the ...

15 days ago

Solved

List the Moran numbers

The quotient of a Moran number and its digit sum is prime. For example, 117 and 481 are Moran numbers because 117/(1+1+7) is 13 ...

16 days ago

Solved

Easy Sequences 6: Coefficient sums of derivatives

Consider the polynomial function and its first-order derivative . The sums of the coefficients of P and P', are and , respecti...

22 days ago

Solved

Determine whether a number is a fibodiv number

The number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequenc...

24 days ago

Solved

Determine whether a number is unprimeable

The number 204 is unprimeable because no single digit can be changed to make it prime. In contrast, the number 207 is not unprim...

24 days ago

Solved

Count the ways to draw non-intersecting chords between points on a circle

There are 9 ways to draw non-intersecting chords between four points on the perimeter of a circle (including no chords at all). ...

24 days ago

Solved

Find the nth nude number

The number 672 is a nude number because it openly displays three of its divisors: 6, 7, and 2. In other words, a nude number is ...

28 days ago

Solved

Easy Sequences 9: Faithful Pairs

A "faithful number" is a non-prime number that is one less or one more than some prime number but not both. For example, for num...

29 days ago

Solved

Easy Sequences 10: Sum of Cumsums of Fibonacci Sequence

The function F(n) is defined as the set of Fibonacci numbers from the first up to the n-th. S(n) is the result of applying to F,...

1 month ago

Solved

Easy Sequences 8: Triangles with integer sides and prime perimeters

The triangle below is special. It has integer sides and a prime perimeter. Given an integer "n" we want to know how many t...

1 month ago

Solved

Hoax Numbers

A Hoax Number (OEIS A019506) is defined as a composite number, whose sum of digits is equal to the sum of digits of its distinct...

1 month ago

Solved

Easy Sequences 3: Prime 44-number Squares

The positive integers 62 and 238 are related. Their squares (3844 and 56,644) both end in '44'. In fact, 62 and 238 are the 3rd ...

1 month ago

Solved

Easy Sequences 2: Trigonometric function with integral input and output

The function 'F', defined as: , will always return an integer if the input is a natural number (in radian...

1 month ago

Solved

Double Fibonacci

double_fibonacci takes two integers, each greater than one, as input arguments (it does not have to check the format of the inpu...

2 months ago

Solved

Sort Except Zeros

Sort the numbers in a vector. But the position of zeros should not be changed. Example: sort_except_zeros( [5 3 0 0 2 4] ) == [...

2 months ago

Solved

Which Prime

Given two prime numbers, specify the relation between them i.e. - 'Twin Prime', 'Cousin Prime', 'Sexy Prime' or 'None'

2 months ago

Solved

Bessel Polynomials

Return the n-th Bessel polynomial Assume that n is a non-negative finite integer. bessel_poly(0) ans = 1 bessel_poly(1) ...

2 months ago

Solved

List Honaker primes

The number 131 is the 32nd prime number. It is a Honaker prime because the sum of its digits (1+3+1) equals the sum of the digit...

2 months ago

Solved

Find numbers in the Popular Computing Z-sequence

Here’s a quick one. In 1977 the magazine Popular Computing sought “problem situations for which the computer is the best (if not...

2 months ago

Solved

Gallery function, learning

write a Function, edit something or Add something that give us like the following for random n: n=2 ans= [ 0 1 ...

3 months ago

Solved

Radioisotope Thermoelectric Generator (RTG)

Given an isotope's atomic mass (in amu), half-life (in years(a) or days(d)), and average kinetic energy absorbed (of emitted dec...

3 months ago

Solved

Convert Two Character String into a Binary Vector

Given a string "XOXXO" convert it into a binary vector. [1 0 1 1 0] Paul Berglund implemented an optimal method in <http://ww...

3 months ago

Solved

List the nth prime quartet prefix

Prime numbers larger than 5 can end only in 1, 3, 7, or 9, but of course not all numbers ending in these four digits are prime. ...

3 months ago

Solved

Convert Thermocouple output voltage (in mV) to Temperature (in C)

Convert Thermocouples of types (B,E,J,K,N,R,S,T) output junction voltage (in mV) to temperature (in C) using NIST coefficients r...

3 months ago

Solved

Compute the fractional derivative

Cody Problem 1370 asks us to compute the derivative of a polynomial. This problem extends that idea to fractional derivatives, w...

3 months ago

Solved

Pick the die most likely to win

After discussing Rock, Paper, Scissors, Lizard, Spock in The Simpsons and their Mathematical Secrets, Simon Singh writes that in...

3 months ago

Solved

Compute the sum of reciprocals of quadratics

Write a function to compute the following sum: See also Cody Problem 46000.

3 months ago

Solved

Compute a sum involving the totient over divisors of a number

Write a function to compute the following sum: where is the totient function. The sum is computed over the divisors of (inc...

3 months ago

Solved

Nuclear Binding Energy

Compute the approximate nuclear binding energy in MeV using the least-squares fit of the semi-emirical mass formula. Round to th...

3 months ago

Solved

Compute the effective conductivity of a heterogeneous aquifer

Slow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water to the gradient in piezome...

3 months ago