Today it is the first day of July in the year 2017. On this day there is a point in time which can be represented as 1.7.2017, 17:17:17.
To celebrate this symbolically speaking 17-heavy day, I created a list of 17 integer sequences which all contain the number 17.
All sequences were generated using a Python program; the source code can be viewed below or downloaded. Because the following list is formatted using LaTex, the program’s plaintext output can also be downloaded.
- Prime numbers .
- Odd positive integers whose number of goldbach sums (all possible sums of two primes) of and are equal to one another.
- Positive integers who are part of a Pythagorean triple excluding : with integers .
- Positive integers where is prime
- Positive integers with distance to a perfect square.
- Positive integers where the number of perfect squares including less than is prime.
- Prime numbers where either or (exclusive) are prime.
- Positive integers whose three-dimensional vector’s floored length is prime, is prime.
- Positive integers who are the sum of a perfect square and a perfect cube (excluding ).
- Positive integers whose decimal digit sum is the cube of a prime.
- Positive integers for which is a perfect square.
- Prime numbers for which is prime.
- Positive integers where is a substring of .
- Positive integers whose decimal reverse is prime.
- Positive integers who are a decimal substring of .
- Positive integers whose binary expansion has a prime number of ‘s.
- Positive integers whose 7-segment representation uses a prime number of segments.
# Python 2.7.7 Code # Jonathan Frech, 29th, 30th of June 2017