What is the 8457th prime number?
The 8457th prime number is 87083. The next prime is 87103 (a gap of 20) and the one before is 87071.
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 8457th one is 87083.
- 2
87083 is prime because no prime up to ā87083 ā 295.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8457th prime is close to 8457 Ć ln(8457) ā 76475, and here it is 87083.
- 4
87083 has no twin: neither 87081 nor 87085 is prime.
Primes around the 8457th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8454 | 87041 | 4 |
| 8455 | 87049 | 8 |
| 8456 | 87071 | 22 |
| 8457 | 87083 | 12 |
| 8458 | 87103 | 20 |
| 8459 | 87107 | 4 |
| 8460 | 87119 | 12 |
Questions
What is the 8457th prime number?
87083.
Which prime number is 87083?
87083 is the 8457th prime number.
What is the sum of the first 8457 primes?
348,256,994.