2.+The+Goldbach+Conjecture

This time we want you to investigate a very famous problem about prime numbers. This problem still has not been resolved and mathematicians have been trying to find an answer to it for almost 300 years. The problem is called **the Goldbach Conjecture** after the mathematician [|Christian Golbach]who first formulated the problem. The conjecture states that: Every even number from 4 onwards can be written as a sum of two primes. ( A conjecture is a statement that is believed to be true but not yet proved.)

Examples: 6 = 3 + 3 8 = 3 + 5 10 = 3 + 7 = 5 + 5 12 = 5 + 7 14 = 3 + 11 = 7 + 7

This problem has fascinated mathematicians for so long because it appears to be true but no one has been able to prove it is true, and in mathematics, nothing is true without a proof. If you could find even one counterexample showing that the conjecture is not always true, you would become famous immediately! We don't expect you to prove the conjecture but we would like you to express the even numbers from 20 to 120 as sums of 2 primes.


 * = Even number ||= 2 primes || Name ||
 * 20 ||= 17+3 || César P ||
 * 22 ||= 17+5 || Bernat R ||
 * 24 || 23+1 || Carla C ||
 * 26 ||= 23+3 || Ariadna A ||
 * 28 ||= 23+5 || Claudia L ||
 * 30 ||= 23+7 || Marina C ||
 * 32 ||= 29+3 || Roc J ||
 * 34 ||= 29+5 || Paula V ||
 * 36 || 33+3 || Elisabet B ||
 * 38 || 31+7 || Clàudia M ||
 * 40 ||= 37+3 || Pol Pueyo ||
 * 42 || 39+3 || Ariadna M ||
 * 44 ||= 37+7 || Martina U ||
 * 46 ||= 41+5 || Sarah R ||
 * 48 ||= 37+11 || Alex S ||
 * 50 ||= 43+7 || Eduard S ||
 * 52 || 51+1 || Clara V ||
 * 54 ||= 11+43 || Maria Fe ||
 * 56 ||= 43+13 || Carles C ||
 * 58 ||= 47+11 || Marc V ||
 * 60 ||= 47+13 || Lluis ||
 * 62 ||  ||   ||
 * 64 ||= 47+17 || Laia C ||
 * 66 ||= 61 +5 || pau f ||
 * 68 || 67+1 || Maria Faura ||
 * 70 ||= 67+3 || Nicolas G ||
 * 72 || 71+1 || Marta T ||
 * 74 ||= 37+37 || Oriol Moreno ||
 * 76 ||= 53+23 || Leo F ||
 * 78 ||= 59+19 || Emma ||
 * 80 ||= 37+43 || Natàlia ||
 * 82 ||= 79+3 || Marina M ||
 * 84 ||= 43+41 || Georgina R ||
 * 86 ||=  ||   ||
 * 120 ||=  ||   ||
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