What is the 904th prime number?
The 904th prime number is 7027. The next prime is 7039 (a gap of 12) and the one before is 7019.
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 904th one is 7027.
- 2
7027 is prime because no prime up to ā7027 ā 83.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 904th prime is close to 904 Ć ln(904) ā 6153, and here it is 7027.
- 4
7027 has no twin: neither 7025 nor 7029 is prime.
Primes around the 904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 901 | 7001 | 4 |
| 902 | 7013 | 12 |
| 903 | 7019 | 6 |
| 904 | 7027 | 8 |
| 905 | 7039 | 12 |
| 906 | 7043 | 4 |
| 907 | 7057 | 14 |
Questions
What is the 904th prime number?
7027.
Which prime number is 7027?
7027 is the 904th prime number.
What is the sum of the first 904 primes?
2,963,531.