What is the 905th prime number?
The 905th prime number is 7039. The next prime is 7043 (a gap of 4) and the one before is 7027.
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 905th one is 7039.
- 2
7039 is prime because no prime up to ā7039 ā 83.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 905th prime is close to 905 Ć ln(905) ā 6161, and here it is 7039.
- 4
7039 has no twin: neither 7037 nor 7041 is prime.
Primes around the 905th
| Position | Prime | Gap from the previous |
|---|---|---|
| 902 | 7013 | 12 |
| 903 | 7019 | 6 |
| 904 | 7027 | 8 |
| 905 | 7039 | 12 |
| 906 | 7043 | 4 |
| 907 | 7057 | 14 |
| 908 | 7069 | 12 |
Questions
What is the 905th prime number?
7039.
Which prime number is 7039?
7039 is the 905th prime number.
What is the sum of the first 905 primes?
2,970,570.