What is the 8601st prime number?
The 8601st prime number is 88807. The next prime is 88811 (a gap of 4) and the one before is 88801.
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 8601st one is 88807.
- 2
88807 is prime because no prime up to ā88807 ā 298.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8601st prime is close to 8601 Ć ln(8601) ā 77922, and here it is 88807.
- 4
88807 has no twin: neither 88805 nor 88809 is prime.
Primes around the 8601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8598 | 88793 | 4 |
| 8599 | 88799 | 6 |
| 8600 | 88801 | 2 |
| 8601 | 88807 | 6 |
| 8602 | 88811 | 4 |
| 8603 | 88813 | 2 |
| 8604 | 88817 | 4 |
Questions
What is the 8601st prime number?
88807.
Which prime number is 88807?
88807 is the 8601st prime number.
What is the sum of the first 8601 primes?
360,915,052.