What is the 8970th prime number?
The 8970th prime number is 92849. The next prime is 92857 (a gap of 8) and the one before is 92831.
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 8970th one is 92849.
- 2
92849 is prime because no prime up to ā92849 ā 304.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8970th prime is close to 8970 Ć ln(8970) ā 81642, and here it is 92849.
- 4
92849 has no twin: neither 92847 nor 92851 is prime.
Primes around the 8970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8967 | 92809 | 8 |
| 8968 | 92821 | 12 |
| 8969 | 92831 | 10 |
| 8970 | 92849 | 18 |
| 8971 | 92857 | 8 |
| 8972 | 92861 | 4 |
| 8973 | 92863 | 2 |
Questions
What is the 8970th prime number?
92849.
Which prime number is 92849?
92849 is the 8970th prime number.
What is the sum of the first 8970 primes?
394,428,821.