What is the 4269th prime number?
The 4269th prime number is 40771. The next prime is 40787 (a gap of 16) and the one before is 40763.
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 4269th one is 40771.
- 2
40771 is prime because no prime up to ā40771 ā 201.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4269th prime is close to 4269 Ć ln(4269) ā 35685, and here it is 40771.
- 4
40771 has no twin: neither 40769 nor 40773 is prime.
Primes around the 4269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4266 | 40751 | 12 |
| 4267 | 40759 | 8 |
| 4268 | 40763 | 4 |
| 4269 | 40771 | 8 |
| 4270 | 40787 | 16 |
| 4271 | 40801 | 14 |
| 4272 | 40813 | 12 |
Questions
What is the 4269th prime number?
40771.
Which prime number is 40771?
40771 is the 4269th prime number.
What is the sum of the first 4269 primes?
81,835,878.