What is the 8449th prime number?
The 8449th prime number is 86981. The next prime is 86993 (a gap of 12) and the one before is 86969.
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 8449th one is 86981.
- 2
86981 is prime because no prime up to ā86981 ā 294.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8449th prime is close to 8449 Ć ln(8449) ā 76394, and here it is 86981.
- 4
86981 has no twin: neither 86979 nor 86983 is prime.
Primes around the 8449th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8446 | 86951 | 12 |
| 8447 | 86959 | 8 |
| 8448 | 86969 | 10 |
| 8449 | 86981 | 12 |
| 8450 | 86993 | 12 |
| 8451 | 87011 | 18 |
| 8452 | 87013 | 2 |
Questions
What is the 8449th prime number?
86981.
Which prime number is 86981?
86981 is the 8449th prime number.
What is the sum of the first 8449 primes?
347,560,696.