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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Single Curio View: (Seek other curios for this number) 2^{2^1}1=3; 2^{2^2}1 can be written as the sum of a prime power and two distinct powers of two in exactly 3 ways (namely, 2+2^2+3^2, 2^2+2^3+3, 2+2^3+5); 2^{2^3}1=2^2+2^3+3^5=2+2^7+5^3. For any integer n>3, 2^{2^n}1 cannot be expressed as the sum of a prime power and two distinct powers of two. [ZhiWei Sun]
Submitted: 20021230 09:16:26; Last Modified: 20080130 11:28:00.
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