What is the 4264th prime number?
The 4264th prime number is 40709. The next prime is 40739 (a gap of 30) and the one before is 40699.
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 4264th one is 40709.
- 2
40709 is prime because no prime up to ā40709 ā 201.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4264th prime is close to 4264 Ć ln(4264) ā 35638, and here it is 40709.
- 4
40709 has no twin: neither 40707 nor 40711 is prime.
Primes around the 4264th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4261 | 40693 | 54 |
| 4262 | 40697 | 4 |
| 4263 | 40699 | 2 |
| 4264 | 40709 | 10 |
| 4265 | 40739 | 30 |
| 4266 | 40751 | 12 |
| 4267 | 40759 | 8 |
Questions
What is the 4264th prime number?
40709.
Which prime number is 40709?
40709 is the 4264th prime number.
What is the sum of the first 4264 primes?
81,632,095.