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# User:Robert Gelhar

My name is Robert Gelhar. I'm an amateur amateur amateur number theorist who spends most time working with distributed computing (PrimeGrid), but also does a fair bit of independent work (ECPP, small projects).

Here's some things I've found:

310905992968447463275644916 is a k that is Sierpinski to both base 2 and 3. (covering sets are 2{3, 5, 13, 17, 97, 241, 257}, 3{5, 7, 13, 17, 41, 73, 193, 577, 769, 6481})

1066868049598271367104400338554234510733177220740805722162138715107210789246497748896830627259296450680483240002480522775601767669555019127329512198062272512636108 is a k that is Brier base 3. (covering sets are S{5, 7, 13, 17, 29, 43, 97, 127, 193, 547, 883, 1093, 2269, 2521, 16493, 76801, 368089, 530713, 21523361, 1418632417, 282429005041, 56227703611393}, R{5, 11, 19, 31, 37, 41, 61, 73, 181, 241, 271, 577, 757, 769, 1181, 1621, 4561, 4801, 6481, 13921, 298801, 26050081, 42521761, 47763361})

3913004084027 is a Sierpinski number that is also odd adjacent to another Sierpinski number [k and k+2 are both Sierpinski!]. (covering sets are k{3,5,7,17,257,241,673}, k+2{3,5,7,17,257,13,97})

20550346353976 is a Sierpinski number that is also adjacent to another [even] Sierpinski number [k and k+1 are both Sierpinski![sort of]]. (covering sets are k{3,5,7,17,257,97,241}, k+1{3,5,7,17,257,13,673})