What is the 4262nd prime number?
The 4262nd prime number is 40697. The next prime is 40699 (a gap of 2) and the one before is 40693.
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 4262nd one is 40697.
- 2
40697 is prime because no prime up to ā40697 ā 201.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4262nd prime is close to 4262 Ć ln(4262) ā 35620, and here it is 40697.
- 4
40697 is a twin prime: 40697 and 40699 are both prime.
Primes around the 4262nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4259 | 40637 | 10 |
| 4260 | 40639 | 2 |
| 4261 | 40693 | 54 |
| 4262 | 40697 | 4 |
| 4263 | 40699 | 2 |
| 4264 | 40709 | 10 |
| 4265 | 40739 | 30 |
Questions
What is the 4262nd prime number?
40697.
Which prime number is 40697?
40697 is the 4262nd prime number.
What is the sum of the first 4262 primes?
81,550,687.