What is the 8972nd prime number?
The 8972nd prime number is 92861. The next prime is 92863 (a gap of 2) and the one before is 92857.
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 8972nd one is 92861.
- 2
92861 is prime because no prime up to ā92861 ā 304.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8972nd prime is close to 8972 Ć ln(8972) ā 81662, and here it is 92861.
- 4
92861 is a twin prime: 92861 and 92863 are both prime.
Primes around the 8972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8969 | 92831 | 10 |
| 8970 | 92849 | 18 |
| 8971 | 92857 | 8 |
| 8972 | 92861 | 4 |
| 8973 | 92863 | 2 |
| 8974 | 92867 | 4 |
| 8975 | 92893 | 26 |
Questions
What is the 8972nd prime number?
92861.
Which prime number is 92861?
92861 is the 8972nd prime number.
What is the sum of the first 8972 primes?
394,614,539.