What is the 8455th prime number?
The 8455th prime number is 87049. The next prime is 87071 (a gap of 22) and the one before is 87041.
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 8455th one is 87049.
- 2
87049 is prime because no prime up to ā87049 ā 295.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8455th prime is close to 8455 Ć ln(8455) ā 76454, and here it is 87049.
- 4
87049 has no twin: neither 87047 nor 87051 is prime.
Primes around the 8455th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8452 | 87013 | 2 |
| 8453 | 87037 | 24 |
| 8454 | 87041 | 4 |
| 8455 | 87049 | 8 |
| 8456 | 87071 | 22 |
| 8457 | 87083 | 12 |
| 8458 | 87103 | 20 |
Questions
What is the 8455th prime number?
87049.
Which prime number is 87049?
87049 is the 8455th prime number.
What is the sum of the first 8455 primes?
348,082,840.