What is the 8202nd prime number?
The 8202nd prime number is 84137. The next prime is 84143 (a gap of 6) and the one before is 84131.
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 8202nd one is 84137.
- 2
84137 is prime because no prime up to ā84137 ā 290.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8202nd prime is close to 8202 Ć ln(8202) ā 73918, and here it is 84137.
- 4
84137 has no twin: neither 84135 nor 84139 is prime.
Primes around the 8202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8199 | 84121 | 32 |
| 8200 | 84127 | 6 |
| 8201 | 84131 | 4 |
| 8202 | 84137 | 6 |
| 8203 | 84143 | 6 |
| 8204 | 84163 | 20 |
| 8205 | 84179 | 16 |
Questions
What is the 8202nd prime number?
84137.
Which prime number is 84137?
84137 is the 8202nd prime number.
What is the sum of the first 8202 primes?
326,431,007.