What is the 8450th prime number?
The 8450th prime number is 86993. The next prime is 87011 (a gap of 18) and the one before is 86981.
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 8450th one is 86993.
- 2
86993 is prime because no prime up to ā86993 ā 294.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8450th prime is close to 8450 Ć ln(8450) ā 76404, and here it is 86993.
- 4
86993 has no twin: neither 86991 nor 86995 is prime.
Primes around the 8450th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8447 | 86959 | 8 |
| 8448 | 86969 | 10 |
| 8449 | 86981 | 12 |
| 8450 | 86993 | 12 |
| 8451 | 87011 | 18 |
| 8452 | 87013 | 2 |
| 8453 | 87037 | 24 |
Questions
What is the 8450th prime number?
86993.
Which prime number is 86993?
86993 is the 8450th prime number.
What is the sum of the first 8450 primes?
347,647,689.