What is the 4267th prime number?
The 4267th prime number is 40759. The next prime is 40763 (a gap of 4) and the one before is 40751.
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 4267th one is 40759.
- 2
40759 is prime because no prime up to ā40759 ā 201.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4267th prime is close to 4267 Ć ln(4267) ā 35666, and here it is 40759.
- 4
40759 has no twin: neither 40757 nor 40761 is prime.
Primes around the 4267th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4264 | 40709 | 10 |
| 4265 | 40739 | 30 |
| 4266 | 40751 | 12 |
| 4267 | 40759 | 8 |
| 4268 | 40763 | 4 |
| 4269 | 40771 | 8 |
| 4270 | 40787 | 16 |
Questions
What is the 4267th prime number?
40759.
Which prime number is 40759?
40759 is the 4267th prime number.
What is the sum of the first 4267 primes?
81,754,344.