What is the 8994th prime number?
The 8994th prime number is 93113. The next prime is 93131 (a gap of 18) and the one before is 93103.
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 8994th one is 93113.
- 2
93113 is prime because no prime up to ā93113 ā 305.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8994th prime is close to 8994 Ć ln(8994) ā 81884, and here it is 93113.
- 4
93113 has no twin: neither 93111 nor 93115 is prime.
Primes around the 8994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8991 | 93089 | 6 |
| 8992 | 93097 | 8 |
| 8993 | 93103 | 6 |
| 8994 | 93113 | 10 |
| 8995 | 93131 | 18 |
| 8996 | 93133 | 2 |
| 8997 | 93139 | 6 |
Questions
What is the 8994th prime number?
93113.
Which prime number is 93113?
93113 is the 8994th prime number.
What is the sum of the first 8994 primes?
396,660,419.