What is the 8454th prime number?
The 8454th prime number is 87041. The next prime is 87049 (a gap of 8) and the one before is 87037.
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 8454th one is 87041.
- 2
87041 is prime because no prime up to ā87041 ā 295.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8454th prime is close to 8454 Ć ln(8454) ā 76444, and here it is 87041.
- 4
87041 has no twin: neither 87039 nor 87043 is prime.
Primes around the 8454th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8451 | 87011 | 18 |
| 8452 | 87013 | 2 |
| 8453 | 87037 | 24 |
| 8454 | 87041 | 4 |
| 8455 | 87049 | 8 |
| 8456 | 87071 | 22 |
| 8457 | 87083 | 12 |
Questions
What is the 8454th prime number?
87041.
Which prime number is 87041?
87041 is the 8454th prime number.
What is the sum of the first 8454 primes?
347,995,791.