What is the 4280th prime number?
The 4280th prime number is 40867. The next prime is 40879 (a gap of 12) and the one before is 40853.
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 4280th one is 40867.
- 2
40867 is prime because no prime up to ā40867 ā 202.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4280th prime is close to 4280 Ć ln(4280) ā 35788, and here it is 40867.
- 4
40867 has no twin: neither 40865 nor 40869 is prime.
Primes around the 4280th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4277 | 40847 | 6 |
| 4278 | 40849 | 2 |
| 4279 | 40853 | 4 |
| 4280 | 40867 | 14 |
| 4281 | 40879 | 12 |
| 4282 | 40883 | 4 |
| 4283 | 40897 | 14 |
Questions
What is the 4280th prime number?
40867.
Which prime number is 40867?
40867 is the 4280th prime number.
What is the sum of the first 4280 primes?
82,285,007.