What is the 4281st prime number?
The 4281st prime number is 40879. The next prime is 40883 (a gap of 4) and the one before is 40867.
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 4281st one is 40879.
- 2
40879 is prime because no prime up to ā40879 ā 202.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4281st prime is close to 4281 Ć ln(4281) ā 35797, and here it is 40879.
- 4
40879 has no twin: neither 40877 nor 40881 is prime.
Primes around the 4281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4278 | 40849 | 2 |
| 4279 | 40853 | 4 |
| 4280 | 40867 | 14 |
| 4281 | 40879 | 12 |
| 4282 | 40883 | 4 |
| 4283 | 40897 | 14 |
| 4284 | 40903 | 6 |
Questions
What is the 4281st prime number?
40879.
Which prime number is 40879?
40879 is the 4281st prime number.
What is the sum of the first 4281 primes?
82,325,886.