What is the 8661st prime number?
The 8661st prime number is 89443. The next prime is 89449 (a gap of 6) and the one before is 89431.
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 8661st one is 89443.
- 2
89443 is prime because no prime up to ā89443 ā 299.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8661st prime is close to 8661 Ć ln(8661) ā 78526, and here it is 89443.
- 4
89443 has no twin: neither 89441 nor 89445 is prime.
Primes around the 8661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8658 | 89413 | 14 |
| 8659 | 89417 | 4 |
| 8660 | 89431 | 14 |
| 8661 | 89443 | 12 |
| 8662 | 89449 | 6 |
| 8663 | 89459 | 10 |
| 8664 | 89477 | 18 |
Questions
What is the 8661st prime number?
89443.
Which prime number is 89443?
89443 is the 8661st prime number.
What is the sum of the first 8661 primes?
366,261,972.