Prime Numbers Archives - Page 3 of 4

By Mike Molony ⋅ June 5, 2009 ⋅ 2 comments

Find arithmetic sequences, made of prime terms, whose four digits are permutations of each other.

By Mike Molony ⋅ April 12, 2009 ⋅ 5 comments

Find the prime number, below one-million, that can be written as the sum of the most consecutive primes.

By Mike Molony ⋅ May 27, 2009 ⋅ 16 comments

Find the smallest prime which, by replacing part of the number with the same digit, is part of an eight prime value set.

By Mike Molony ⋅ April 11, 2009 ⋅ 2 comments

Counting primes that lie on the diagonals of the spiral grid.

By Mike Molony ⋅ June 3, 2009 ⋅ 7 comments

Find a set of five primes for which any two primes concatenate to produce another prime.

By Mike Molony ⋅ January 22, 2011 ⋅ 6 comments

Investigate the Diophantine equation x² − Dy² = 1.

By Mike Molony ⋅ April 4, 2009 ⋅ One comment

Find the value of n ≤ 1,000,000 for which n/φ(n) is a maximum.

Find the first value which can be written as the sum of primes in over five thousand different ways.

By Mike Molony ⋅ July 16, 2011 ⋅ 2 comments

Investigating numbers that can be expressed as the sum of a prime square, cube, and fourth power.

By Mike Molony ⋅ March 25, 2009 ⋅ 2 comments

Find the last ten digits of the non-Mersenne prime: 28433 × 2^7830457 + 1.

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