Sure, the number 2019 has a lot of great properties. For
example, 2019 is the least number having
six different representations as a sum of three squares of prime numbers.
2019 = 232+232+312
2019 = 172+192+372
2019 = 112+232+372
2019 = 132+132+412
2019 = 72+172+412
2019 = 72+112+432
There
a lot of numbers having six different representations as above, not seven or
more. They form a sequence 2019, 2091, 2499, 3099, 3219, 3339, 3579,
3939, 4011, ... E.g., 4011 = 312 + 372 +
412 = 292 + 312 + 472 =
112 + 412 + 472 = 192 +
292 + 532 = 132 + 192 +
592 = 112 + 132 + 612.
