What is the 4278th prime number?
The 4278th prime number is 40849. The next prime is 40853 (a gap of 4) and the one before is 40847.
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 4278th one is 40849.
- 2
40849 is prime because no prime up to ā40849 ā 202.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4278th prime is close to 4278 Ć ln(4278) ā 35769, and here it is 40849.
- 4
40849 is a twin prime: 40847 and 40849 are both prime.
Primes around the 4278th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4275 | 40829 | 6 |
| 4276 | 40841 | 12 |
| 4277 | 40847 | 6 |
| 4278 | 40849 | 2 |
| 4279 | 40853 | 4 |
| 4280 | 40867 | 14 |
| 4281 | 40879 | 12 |
Questions
What is the 4278th prime number?
40849.
Which prime number is 40849?
40849 is the 4278th prime number.
What is the sum of the first 4278 primes?
82,203,287.