It is not practical to go infinitely in the future. So we can take the rest of the 21st century. In that case, the 1st of October is on a Saturday in the following years:
2016
2022
2033
2039
2044
2050
2061
2067
2072
2078
2089
2095
As of 2011, October 1 will next fall on Saturday in 2016.
The next time Dec. 1 will fall on a Saturday will be in 2018.
October 1, 2014 will fall on a Wednesday this year.
March 1 will next fall on a Saturday in 2014.
Jan 1 2005 was the most recent year it fell on a Sat; prior to that it was year 2000.
October 1st, 1836 fell on a Saturday.
A saturday.
It is not practical to go infinitely in the future. So let's look at the rest of the 21st century. For those, the 1st of October is on a Friday in the following years: 2021 2027 2032 2038 2049 2055 2060 2066 2077 2083 2088 2094 2100 For the rest of the 21st century the 1st of October will be on a Saturday in these years: 2016 2022 2033 2039 2044 2050 2061 2067 2072 2078 2089 2095
"Leap Year" is an entire calendar year with 366 days. An entire year cannot becompressed into a single day.Perhaps you're asking for the next leap year in which the added day ... February 29 ...will fall on Saturday. That will be the year 2020.
Saturday
The 1st of January will next be on a Saturday in 2022.
Saturday.Saturday.Saturday.Saturday.Saturday.Saturday.Saturday.Saturday.Saturday.Saturday.Saturday.