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尤拉---冰漓數學猜想

考慮以下一種變換,把任何非質數拆成它的一對對的整數因子,再把它們相加,如果結果不是質數就再續,以15為例

5=3*5 -->

3+5=8-->

8=2*4 -->

2+4=6 -->

6=2*3-->

2+3=5(質數)
尤拉---冰漓數學猜想是,5和7會是最常出現的結果,足證出生數為5的冰漓和出生數為7的尤拉是天生一對!

Consider this operation I call it EO transformation:

15=3*5 -->

3+5=8-->

8=2*4 -->

2+4=6 -->

6=2*3-->

2+3=5(which is a prime)

My postulate is that, for any non-prime number, 5 and 7 would be the most frequently appeared result.
Could any Mathematician please prove or disprove this assertion?