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Plzz explain me what is goldbachs conjecture effectively and use some examples..

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Solution

This conjecture states that every even integer greater than 4 can be expressed as the sum of two odd primes. Alternatively, another form of the conjecture states that every even integer greater than two can be expressed as the sum of two primes.

The clause regarding even numbers is sometimes called the binary Goldbach conjecture or strong Goldbach conjecture, while the clause regarding odd numbers is sometimes called the ternary Goldbach conjecture or weak Goldbach conjecture.

Goldbach's conjecture: Every even number > 4 is the sum of two odd primes.

  • 6=3+3, 8=3+5, 10=3+7=5+5, 12=5+7,14=3+11=7+7, 16=3+13=5+11, 18=5+13=7+11, 20=3+17=7+13,22=3+19=5+17=11+11, 24=5+19=7+17=11+13, 26=3+23=7+19=13+13,28=5+23=11+17, 30=7+23=11+19=13+17

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