Simplify the following text for a Grade 10 native English-speaking person.
Original: , in which Goldbach remarked his original ( and not marginal ) conjecture followed from the following statement Every even integer greater than 2 can be written as the sum of two primes , which is thus also a conjecture of Goldbach .
Simplified: A modern version of Goldbach 's original conjecture is : Every integer greater than 5 can be written as the sum of three primes .