What is the 8995th prime number?
The 8995th prime number is 93131. The next prime is 93133 (a gap of 2) and the one before is 93113.
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 8995th one is 93131.
- 2
93131 is prime because no prime up to ā93131 ā 305.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8995th prime is close to 8995 Ć ln(8995) ā 81894, and here it is 93131.
- 4
93131 is a twin prime: 93131 and 93133 are both prime.
Primes around the 8995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8992 | 93097 | 8 |
| 8993 | 93103 | 6 |
| 8994 | 93113 | 10 |
| 8995 | 93131 | 18 |
| 8996 | 93133 | 2 |
| 8997 | 93139 | 6 |
| 8998 | 93151 | 12 |
Questions
What is the 8995th prime number?
93131.
Which prime number is 93131?
93131 is the 8995th prime number.
What is the sum of the first 8995 primes?
396,753,550.