Known Sierpinski Numbers
The sequence of currently known Sierpinski numbers begins with:
- 78557, 271129, 271577, 322523, 327739, 482719, 575041, 603713, 903983, 934909, 965431, … (sequence A076336 in OEIS).
The number 78,557 was proved to be a Sierpinski number by John Selfridge in 1962, who showed that all numbers of the form 78557·2n+1 have a factor in the covering set {3, 5, 7, 13, 19, 37, 73}. For another known Sierpinski number, 271129, the covering set is {3, 5, 7, 13, 17, 241}. All currently known Sierpinski numbers possess similar covering sets.
Read more about this topic: Sierpinski Number
Famous quotes containing the word numbers:
“Old age equalizes—we are aware that what is happening to us has happened to untold numbers from the beginning of time. When we are young we act as if we were the first young people in the world.”
—Eric Hoffer (1902–1983)