What is the 8949th prime number?
The 8949th prime number is 92657. The next prime is 92669 (a gap of 12) and the one before is 92647.
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 8949th one is 92657.
- 2
92657 is prime because no prime up to ā92657 ā 304.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8949th prime is close to 8949 Ć ln(8949) ā 81430, and here it is 92657.
- 4
92657 has no twin: neither 92655 nor 92659 is prime.
Primes around the 8949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8946 | 92639 | 12 |
| 8947 | 92641 | 2 |
| 8948 | 92647 | 6 |
| 8949 | 92657 | 10 |
| 8950 | 92669 | 12 |
| 8951 | 92671 | 2 |
| 8952 | 92681 | 10 |
Questions
What is the 8949th prime number?
92657.
Which prime number is 92657?
92657 is the 8949th prime number.
What is the sum of the first 8949 primes?
392,481,090.