I am 61yo with 15+ years of service government employee wishing to make special catch-up contributions. Can my max retirement contributions be more than $34,750 in 2025?

[MaxA1]

No.  Your max retirement contribution to an employer-sponsored retirement plan is $34,750 ($23,500+$11,250 catch-up for 60–63 year-olds).

Here's some helpful links that give more insight on retirement plans and their respective contributions limits:

• The Tax Benefits of Your 401(k) Plan
• COLA increases for dollar limitations on benefits and contributions

[dmertz]

I believe that you are asking about the 403(b) special catch-up.  See the following IRS web page:

https://www.irs.gov/retirement-plans/403b-plans-catch-up-contributions