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 A^2 = B^3 + C^3
 Set {4,b,c,d,e} such that the product of any two of them increased by 1 is a square
 smallest integer whose first n multiples all contain a 3
 Set {3,b,c,d,e} such that the product of any two of them increased by 1 is a square
 Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square
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Tag Archives: Prime Numbers
Word puzzle A = 2, B = 3, C = 5, …, Z = 101
Form words that are very close to for example the word ADD A = 2 and D = 7 then multiply the prime numbers representing the word ADD ADD = 2 * 7 … Continue reading
19 primes embedded in a cube
Consider and embedded in this number are 19 primes reading left to right thus, 3, 7, 31, 47, 73, 83, 331, 733, 839, 983, 3169, 4733, … Continue reading
Consecutive primes (p,q): 1/a + 1/b = q/p, (a,b) positive intgers
Find all positive integer pairs such that where and are consecutive primes with for example, 1/a + 1/b = 2/3 a = 2, b … Continue reading
When concatenation of consecutive primes is prime
2  3 = 23 2  3  5  7 = 2357 11  13  17 = … Continue reading
Puzzle  Five 2digit numbers
Paul offered the following puzzle: A, B, C, D and E are 2digit numbers in any order, A, B, C, D and E are some multiple of a prime number between 2 and 9 all different. A, B, C, … Continue reading
Prime num3er puzzle: groups of 3
– Select a set of consecutive prime numbers. – Break it into groups of three such that each group sums up to a prime number. – Write the digits reversed of each sum – Find sums before and after … Continue reading
Pandigital  three prime numbers
Let , , be three prime numbers. multiplying the first by 7, the second by 8 and the third by 9, so we have , and with . The combined … Continue reading
Sequence of prime numbers: p_(k+1) – (p_k + p_(k1))= A
Find a sequence of prime numbers , , , … , , , , … , such that and … Continue reading
When sum of three 3digit prime numbers is prime
Let P, Q, and R be three 3digit prime numbers whose sum is prime. P, Q, and R are distinct. Find more solutions … Continue reading