What is the 4266th prime number?
The 4266th prime number is 40751. The next prime is 40759 (a gap of 8) and the one before is 40739.
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 4266th one is 40751.
- 2
40751 is prime because no prime up to ā40751 ā 201.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4266th prime is close to 4266 Ć ln(4266) ā 35657, and here it is 40751.
- 4
40751 has no twin: neither 40749 nor 40753 is prime.
Primes around the 4266th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4263 | 40699 | 2 |
| 4264 | 40709 | 10 |
| 4265 | 40739 | 30 |
| 4266 | 40751 | 12 |
| 4267 | 40759 | 8 |
| 4268 | 40763 | 4 |
| 4269 | 40771 | 8 |
Questions
What is the 4266th prime number?
40751.
Which prime number is 40751?
40751 is the 4266th prime number.
What is the sum of the first 4266 primes?
81,713,585.