What is the 8672nd prime number?
The 8672nd prime number is 89561. The next prime is 89563 (a gap of 2) and the one before is 89533.
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 8672nd one is 89561.
- 2
89561 is prime because no prime up to ā89561 ā 299.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8672nd prime is close to 8672 Ć ln(8672) ā 78636, and here it is 89561.
- 4
89561 is a twin prime: 89561 and 89563 are both prime.
Primes around the 8672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8669 | 89521 | 2 |
| 8670 | 89527 | 6 |
| 8671 | 89533 | 6 |
| 8672 | 89561 | 28 |
| 8673 | 89563 | 2 |
| 8674 | 89567 | 4 |
| 8675 | 89591 | 24 |
Questions
What is the 8672nd prime number?
89561.
Which prime number is 89561?
89561 is the 8672nd prime number.
What is the sum of the first 8672 primes?
367,246,523.