What MIN/MAX values will work with both ZonedDateTime and Instant.toEpochMilli?

Question

I want to use MIN/MAX time values that can convert between ZonedDateTime and Instant.toEpochMilli(), to be used as sentinel values for a filter/query.

I tried:

OffsetDateTime.MIN.toInstant().toEpochMilli();
OffsetDateTime.MAX.toInstant().toEpochMilli();

but I get this exception:

java.lang.ArithmeticException: long overflow

    at java.lang.Math.multiplyExact(Math.java:892)
    at java.time.Instant.toEpochMilli(Instant.java:1237)

And then I tried this:

ZonedDateTime.ofInstant(Instant.MIN, ZoneId.systemDefault());
ZonedDateTime.ofInstant(Instant.MAX, ZoneId.systemDefault());

but then I get this exception:

java.time.DateTimeException: Invalid value for Year (valid values -999999999 - 999999999): -1000000001

    at java.time.temporal.ValueRange.checkValidIntValue(ValueRange.java:330)
    at java.time.temporal.ChronoField.checkValidIntValue(ChronoField.java:722)
    at java.time.LocalDate.ofEpochDay(LocalDate.java:341)
    at java.time.LocalDateTime.ofEpochSecond(LocalDateTime.java:422)
    at java.time.ZonedDateTime.create(ZonedDateTime.java:456)
    at java.time.ZonedDateTime.ofInstant(ZonedDateTime.java:409)

I also tried 'Z' ZoneId:

ZonedDateTime.ofInstant(Instant.MIN, ZoneId.of("Z"))

but that returns the same exception as the last one.

Finally I tried the following, and it seems to work:

ZonedDateTime.ofInstant(Instant.EPOCH, ZoneId.of("Z"));
ZonedDateTime.ofInstant(Instant.EPOCH.plusMillis(Long.MAX_VALUE), ZoneId.of("Z"));

Is that the best solution?