What is the 4253rd prime number?
The 4253rd prime number is 40577. The next prime is 40583 (a gap of 6) and the one before is 40559.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4253rd one is 40577.
- 2
40577 is prime because no prime up to ā40577 ā 201.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4253rd prime is close to 4253 Ć ln(4253) ā 35535, and here it is 40577.
- 4
40577 has no twin: neither 40575 nor 40579 is prime.
Primes around the 4253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4250 | 40531 | 2 |
| 4251 | 40543 | 12 |
| 4252 | 40559 | 16 |
| 4253 | 40577 | 18 |
| 4254 | 40583 | 6 |
| 4255 | 40591 | 8 |
| 4256 | 40597 | 6 |
Questions
What is the 4253rd prime number?
40577.
Which prime number is 40577?
40577 is the 4253rd prime number.
What is the sum of the first 4253 primes?
81,185,014.