wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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

Open in App
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

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Axioms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon