I do adhere to Ussher's 17th century dating of Adam being formed in God's Garden in 4004 B.C., his using the begats recorded from Christ back to Adam. E.W. Bullinger did this calculation too and arrived at the same 4004 B.C. date, which I'm pretty sure one can find his Appendix chart on that documentation.
That puts the flood of Noah's days around 2500 B.C., definitely not 10,000 B.C. (Bullinger has Noah having the ark built by 2348 B.C.).
In 2 Peter 3, Peter described 3 different divisions of ages upon the earth between destructions by God:
2 Peter 3:5-7
5 For this they willingly are ignorant of, that by the word of God the heavens were of old, and the earth standing out of the water and in the water:
6 Whereby the world that then was, being overflowed with water, perished:
7 But the heavens and the earth, which are now, by the same word are kept in store, reserved unto fire against the day of judgment and perdition of ungodly men.
KJV
2 Peter 3:13
13 Nevertheless we, according to His promise, look for new heavens and a new earth, wherein dwelleth righteousness.
KJV
1. "the world that then was"
2. "the heavens and the earth, which are now"
3. "new heavens and a new earth"
I bring to attention Peter's description of, "... that by the word of God, the heavens were of old, the earth standing out the water and in the water."
I do not see that being about the flood of Noah's day, but about a flood of waters upon the earth described in Genesis 1:
Gen 1:2
2 And the earth was without form, and void; and darkness was upon the face of the deep. And the Spirit of God moved upon the face of the waters.
KJV
Gen 1:6-9
6 And God said, Let there be a firmament in the midst of the waters, and let it divide the waters from the waters.
7 And God made the firmament, and divided the waters which were under the firmament from the waters which were above the firmament: and it was so.
8 And God called the firmament Heaven. And the evening and the morning were the second day.
9 And God said, Let the waters under the heaven be gathered together unto one place, and let the dry land appear: and it was so.
KJV
At that point after God had moved part of those waters up off the earth to the sky, and then parted the waters left upon the earth to cause the dry land to appear, that... is where I interpret Peter speaking of "... the earth standing out of the water and in the water."
Notice also the phrase, "that by the word of God, the heavens were of old, ...." which is attached to that event timing of "the earth standing out of the water and in the water." In the beginning at Gen.1:1 is when God spoke and created the heavens:
Ps 33:6
6 By the word of the LORD were the heavens made; and all the host of them by the breath of His mouth.
KJV
2 Peter 3:5
5 For this they willingly are ignorant of, that by the word of God the heavens were of old, and the earth standing out of the water and in the water:
That is why I refuse to simply assign that 2 Pet.3:5 Scripture to the time of the flood of Noah's days, because that shows Peter was actually pointing all the way back to the time of Genesis 1:1 when God in the beginning created those heavens. And immediately after Peter said that phrase he included the time of the earth standing out of the water and in the water, representing a flood of waters upon the earth right AFTER Genesis 1:1.