What is the 802nd prime number?
The 802nd prime number is 6151. The next prime is 6163 (a gap of 12) and the one before is 6143.
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 802nd one is 6151.
- 2
6151 is prime because no prime up to ā6151 ā 78.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 802nd prime is close to 802 Ć ln(802) ā 5363, and here it is 6151.
- 4
6151 has no twin: neither 6149 nor 6153 is prime.
Primes around the 802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 799 | 6131 | 10 |
| 800 | 6133 | 2 |
| 801 | 6143 | 10 |
| 802 | 6151 | 8 |
| 803 | 6163 | 12 |
| 804 | 6173 | 10 |
| 805 | 6197 | 24 |
Questions
What is the 802nd prime number?
6151.
Which prime number is 6151?
6151 is the 802nd prime number.
What is the sum of the first 802 primes?
2,290,253.