What is the 8602nd prime number?
The 8602nd prime number is 88811. The next prime is 88813 (a gap of 2) and the one before is 88807.
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 8602nd one is 88811.
- 2
88811 is prime because no prime up to ā88811 ā 298.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8602nd prime is close to 8602 Ć ln(8602) ā 77932, and here it is 88811.
- 4
88811 is a twin prime: 88811 and 88813 are both prime.
Primes around the 8602nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8599 | 88799 | 6 |
| 8600 | 88801 | 2 |
| 8601 | 88807 | 6 |
| 8602 | 88811 | 4 |
| 8603 | 88813 | 2 |
| 8604 | 88817 | 4 |
| 8605 | 88819 | 2 |
Questions
What is the 8602nd prime number?
88811.
Which prime number is 88811?
88811 is the 8602nd prime number.
What is the sum of the first 8602 primes?
361,003,863.