What is the 801st prime number?
The 801st prime number is 6143. The next prime is 6151 (a gap of 8) and the one before is 6133.
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 801st one is 6143.
- 2
6143 is prime because no prime up to ā6143 ā 78.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 801st prime is close to 801 Ć ln(801) ā 5355, and here it is 6143.
- 4
6143 has no twin: neither 6141 nor 6145 is prime.
Primes around the 801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 798 | 6121 | 8 |
| 799 | 6131 | 10 |
| 800 | 6133 | 2 |
| 801 | 6143 | 10 |
| 802 | 6151 | 8 |
| 803 | 6163 | 12 |
| 804 | 6173 | 10 |
Questions
What is the 801st prime number?
6143.
Which prime number is 6143?
6143 is the 801st prime number.
What is the sum of the first 801 primes?
2,284,102.