What is the 8660th prime number?
The 8660th prime number is 89431. The next prime is 89443 (a gap of 12) and the one before is 89417.
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 8660th one is 89431.
- 2
89431 is prime because no prime up to ā89431 ā 299.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8660th prime is close to 8660 Ć ln(8660) ā 78516, and here it is 89431.
- 4
89431 has no twin: neither 89429 nor 89433 is prime.
Primes around the 8660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8657 | 89399 | 6 |
| 8658 | 89413 | 14 |
| 8659 | 89417 | 4 |
| 8660 | 89431 | 14 |
| 8661 | 89443 | 12 |
| 8662 | 89449 | 6 |
| 8663 | 89459 | 10 |
Questions
What is the 8660th prime number?
89431.
Which prime number is 89431?
89431 is the 8660th prime number.
What is the sum of the first 8660 primes?
366,172,529.