What is the 4279th prime number?
The 4279th prime number is 40853. The next prime is 40867 (a gap of 14) and the one before is 40849.
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 4279th one is 40853.
- 2
40853 is prime because no prime up to ā40853 ā 202.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4279th prime is close to 4279 Ć ln(4279) ā 35779, and here it is 40853.
- 4
40853 has no twin: neither 40851 nor 40855 is prime.
Primes around the 4279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4276 | 40841 | 12 |
| 4277 | 40847 | 6 |
| 4278 | 40849 | 2 |
| 4279 | 40853 | 4 |
| 4280 | 40867 | 14 |
| 4281 | 40879 | 12 |
| 4282 | 40883 | 4 |
Questions
What is the 4279th prime number?
40853.
Which prime number is 40853?
40853 is the 4279th prime number.
What is the sum of the first 4279 primes?
82,244,140.