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Conjecture: 2n+1= 2^i+p ; 6k-2 or 6k+2 = 3^i+p
I have a conjecture: Any odd positive number is the sum of 2 to an i-th power and a (negative) prime. 2n+1 = 2^i+p for example: 5 = 2+3 9=4+5 15=2^3+7 905=2^12-3191 .... as to 2293=2^i +p $B!$(BI don't know i , p . it is sure that i>30 000 if the conjecture is correct. More, n = 3^i+p, (if n=6k-2 or n=6k+2) for example:8 = 3+5 16=3^2+7 100=3+97, 562 = 3^6 -167 I can't proof this. Do you have any idea?