regex for matching 5 digit numbers, starting with specific digits, but not allowing all repetitions

I will use JavaScript and this is the rules that I need to match:

• numbers must have exactly 5 digits
• numbers can only start with 1-4 and 6-9
• numbers cannot have all digits repeatable

So:

12345  - match
11111  - no match (the same digit is repeated 5x
22220  - match
59876  - no match (starts with the digit 5)
90279  - match
899991 - no match (6 digits)

Here is my exploration of the regex pattern:

^(?!(\d)\1{4,})\d{5}$

The problem is that I don’t know how to force it to have the first digit as [1-4,6-9].

Any help would be appreciated.