What is the 4268th prime number?
The 4268th prime number is 40763. The next prime is 40771 (a gap of 8) and the one before is 40759.
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 4268th one is 40763.
- 2
40763 is prime because no prime up to ā40763 ā 201.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4268th prime is close to 4268 Ć ln(4268) ā 35676, and here it is 40763.
- 4
40763 has no twin: neither 40761 nor 40765 is prime.
Primes around the 4268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4265 | 40739 | 30 |
| 4266 | 40751 | 12 |
| 4267 | 40759 | 8 |
| 4268 | 40763 | 4 |
| 4269 | 40771 | 8 |
| 4270 | 40787 | 16 |
| 4271 | 40801 | 14 |
Questions
What is the 4268th prime number?
40763.
Which prime number is 40763?
40763 is the 4268th prime number.
What is the sum of the first 4268 primes?
81,795,107.