Problem 29: How many distinct terms are in the sequence generated by ab for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?
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Home > Archives for August, 2012
Monthly Archives: August 2012
Project Euler – Problem 28
Thursday, August 2nd, 2012
Problem 28: Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows:
21 22 23 24 25
20 7 8 9 10
19 6 1 2 11
18 5 4 3 12
17 16 15 14 13
It can be verified that the sum of the numbers on the diagonals is 101.
What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way?
Project Euler – Problem 27
Thursday, August 2nd, 2012
Problem 27: Find the product of the coefficients, a and b, for the quadratic expression that produces the maximum number of primes for consecutive values of n, starting with n = 0 of the form: n² + an + b, where |a| 1000 and |b| 1000,
Project Euler – Problem 26
Thursday, August 2nd, 2012
Problem 26: Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part.
Project Euler – Problem 25
Wednesday, August 1st, 2012
Problem 25: What is the first term in the Fibonacci sequence to contain 1000 digits?
Project Euler – Problem 28
Thursday, August 2nd, 2012
Problem 28: Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows:
21 22 23 24 25 20 7 8 9 10 19 6 1 2 11 18 5 4 3 12 17 16 15 14 13
It can be verified that the sum of the numbers on the diagonals is 101.
What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way?
Project Euler – Problem 27
Thursday, August 2nd, 2012
Problem 27: Find the product of the coefficients, a and b, for the quadratic expression that produces the maximum number of primes for consecutive values of n, starting with n = 0 of the form: n² + an + b, where |a| 1000 and |b| 1000,
Project Euler – Problem 26
Thursday, August 2nd, 2012
Problem 26: Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part.
Project Euler – Problem 25
Wednesday, August 1st, 2012
Problem 25: What is the first term in the Fibonacci sequence to contain 1000 digits?